Curve intersection, scale width based on ribbon orientation

Time bar (total: 18.3s)

analyze505.0ms (2.8%)

Memory
-14.1MiB live, 539.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0.8%99.2%0%0%0%0
0%0%0.8%99.2%0%0%0%1
0%0%0.8%99.2%0%0%0%2
0%0%0.8%99.2%0%0%0%3
0%0%0.8%99.2%0%0%0%4
0%0%0.8%99.2%0%0%0%5
16.7%0.1%0.5%99.2%0%0.2%0%6
25%0.1%0.4%99.2%0%0.2%0%7
25%0.1%0.4%99.2%0%0.2%0%8
25%0.1%0.4%99.2%0%0.2%0%9
45%0.2%0.3%99.2%0%0.3%0%10
52.5%0.3%0.2%99.2%0%0.3%0%11
52.5%0.3%0.2%99.2%0%0.3%0%12
Compiler

Compiled 59 to 39 computations (33.9% saved)

sample3.2s (17.3%)

Memory
6.6MiB live, 4 564.3MiB allocated
Samples
1.9s8 256×0valid
562.0ms2 082×0invalid
Precisions
Click to see histograms. Total time spent on operations: 2.0s
ival-sin: 521.0ms (25.6% of total)
ival-<=: 489.0ms (24% of total)
ival-mult: 398.0ms (19.5% of total)
const: 198.0ms (9.7% of total)
ival-div: 163.0ms (8% of total)
ival-add: 84.0ms (4.1% of total)
ival-sub: 61.0ms (3% of total)
ival-and: 53.0ms (2.6% of total)
ival-pi: 45.0ms (2.2% of total)
exact: 22.0ms (1.1% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

preprocess150.0ms (0.8%)

Memory
-5.1MiB live, 154.9MiB allocated
Algorithm
egg-herbie
Rules
1 400×unsub-neg
1 012×times-frac
832×accelerator-lowering-fma.f32
832×accelerator-lowering-fma.f64
736×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107389
1281319
2743302
31992271
43435270
56426270
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 (fma.f32 u normAngle #s(literal 0 binary32))) n1_i (fma.f32 (sin.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) normAngle #s(literal 0 binary32))) n0_i #s(literal 0 binary32))) (sin.f32 normAngle))
Call 2
Inputs
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
(+ (* (* (sin (* (- 1 u) (neg normAngle))) (/ 1 (sin (neg normAngle)))) n0_i) (* (* (sin (* u (neg normAngle))) (/ 1 (sin (neg normAngle)))) n1_i))
(+ (* (* (sin (* (- 1 (neg u)) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* (neg u) normAngle)) (/ 1 (sin normAngle))) n1_i))
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (neg n0_i)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (neg n1_i)))
(neg (+ (* (* (sin (* (- 1 u) (neg normAngle))) (/ 1 (sin (neg normAngle)))) n0_i) (* (* (sin (* u (neg normAngle))) (/ 1 (sin (neg normAngle)))) n1_i)))
(neg (+ (* (* (sin (* (- 1 (neg u)) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* (neg u) normAngle)) (/ 1 (sin normAngle))) n1_i)))
(neg (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (neg n0_i)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)))
(neg (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (neg n1_i))))
(+ (* (* (sin (* (- 1 normAngle) u)) (/ 1 (sin u))) n0_i) (* (* (sin (* normAngle u)) (/ 1 (sin u))) n1_i))
(+ (* (* (sin (* (- 1 u) n0_i)) (/ 1 (sin n0_i))) normAngle) (* (* (sin (* u n0_i)) (/ 1 (sin n0_i))) n1_i))
(+ (* (* (sin (* (- 1 u) n1_i)) (/ 1 (sin n1_i))) n0_i) (* (* (sin (* u n1_i)) (/ 1 (sin n1_i))) normAngle))
(+ (* (* (sin (* (- 1 n0_i) normAngle)) (/ 1 (sin normAngle))) u) (* (* (sin (* n0_i normAngle)) (/ 1 (sin normAngle))) n1_i))
(+ (* (* (sin (* (- 1 n1_i) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* n1_i normAngle)) (/ 1 (sin normAngle))) u))
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n1_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n0_i))
Outputs
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
(/ (+ (* (sin (* u normAngle)) n1_i) (* (sin (- normAngle (* u normAngle))) n0_i)) (sin normAngle))
(+ (* (* (sin (* (- 1 u) (neg normAngle))) (/ 1 (sin (neg normAngle)))) n0_i) (* (* (sin (* u (neg normAngle))) (/ 1 (sin (neg normAngle)))) n1_i))
(/ (+ (* (sin (* u normAngle)) n1_i) (* (sin (- normAngle (* u normAngle))) n0_i)) (sin normAngle))
(+ (* (* (sin (* (- 1 (neg u)) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* (neg u) normAngle)) (/ 1 (sin normAngle))) n1_i))
(/ (- (* n0_i (sin (+ normAngle (* u normAngle)))) (* (sin (* u normAngle)) n1_i)) (sin normAngle))
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (neg n0_i)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
(/ (+ (* (sin (* u normAngle)) n1_i) (* n0_i (sin (- (* u normAngle) normAngle)))) (sin normAngle))
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (neg n1_i)))
(/ (- (* (sin (- normAngle (* u normAngle))) n0_i) (* (sin (* u normAngle)) n1_i)) (sin normAngle))
(neg (+ (* (* (sin (* (- 1 u) (neg normAngle))) (/ 1 (sin (neg normAngle)))) n0_i) (* (* (sin (* u (neg normAngle))) (/ 1 (sin (neg normAngle)))) n1_i)))
(/ (- (* n0_i (sin (- (* u normAngle) normAngle))) (* (sin (* u normAngle)) n1_i)) (sin normAngle))
(neg (+ (* (* (sin (* (- 1 (neg u)) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* (neg u) normAngle)) (/ 1 (sin normAngle))) n1_i)))
(/ (- (* (sin (* u normAngle)) n1_i) (* n0_i (sin (+ normAngle (* u normAngle))))) (sin normAngle))
(neg (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (neg n0_i)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)))
(/ (- (* (sin (- normAngle (* u normAngle))) n0_i) (* (sin (* u normAngle)) n1_i)) (sin normAngle))
(neg (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (neg n1_i))))
(/ (+ (* (sin (* u normAngle)) n1_i) (* n0_i (sin (- (* u normAngle) normAngle)))) (sin normAngle))
(+ (* (* (sin (* (- 1 normAngle) u)) (/ 1 (sin u))) n0_i) (* (* (sin (* normAngle u)) (/ 1 (sin u))) n1_i))
(/ (+ (* n0_i (sin (- u (* u normAngle)))) (* (sin (* u normAngle)) n1_i)) (sin u))
(+ (* (* (sin (* (- 1 u) n0_i)) (/ 1 (sin n0_i))) normAngle) (* (* (sin (* u n0_i)) (/ 1 (sin n0_i))) n1_i))
(/ (+ (* n1_i (sin (* u n0_i))) (* normAngle (sin (- n0_i (* u n0_i))))) (sin n0_i))
(+ (* (* (sin (* (- 1 u) n1_i)) (/ 1 (sin n1_i))) n0_i) (* (* (sin (* u n1_i)) (/ 1 (sin n1_i))) normAngle))
(/ (+ (* normAngle (sin (* u n1_i))) (* n0_i (sin (- n1_i (* u n1_i))))) (sin n1_i))
(+ (* (* (sin (* (- 1 n0_i) normAngle)) (/ 1 (sin normAngle))) u) (* (* (sin (* n0_i normAngle)) (/ 1 (sin normAngle))) n1_i))
(/ (+ (* u (sin (- normAngle (* normAngle n0_i)))) (* n1_i (sin (* normAngle n0_i)))) (sin normAngle))
(+ (* (* (sin (* (- 1 n1_i) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* n1_i normAngle)) (/ 1 (sin normAngle))) u))
(/ (+ (* u (sin (* normAngle n1_i))) (* n0_i (sin (* normAngle (- 1 n1_i))))) (sin normAngle))
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n1_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n0_i))
(/ (+ (* (sin (- normAngle (* u normAngle))) n1_i) (* n0_i (sin (* u normAngle)))) (sin normAngle))
Symmetry

(abs normAngle)

explain427.0ms (2.3%)

Memory
-23.2MiB live, 424.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
170-15(1.4844936662556586e-37 2.2081151200836757e-6 -2.0904760127810063e-12 2.5681953722951665e-31)(*.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 -
+17
-1247
Precision
0.5
Recall
0.125
Confusion?
Predicted +Predicted MaybePredicted -
+107
-10247
Precision?
0.5
Recall?
0.125
Freqs
test
numberfreq
0254
12
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
209.0ms492×0valid
11.0ms20×5exit
Compiler

Compiled 264 to 72 computations (72.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 197.0ms
ival-sin: 110.0ms (55.7% of total)
ival-mult: 49.0ms (24.8% of total)
ival-add: 28.0ms (14.2% of total)
ival-div: 4.0ms (2% of total)
ival-sub: 3.0ms (1.5% of total)
adjust: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.3%
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
Compiler

Compiled 29 to 17 computations (41.4% saved)

simplify78.0ms (0.4%)

Memory
9.5MiB live, 86.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
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-diff3648
(+.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 (fma.f32 u normAngle #s(literal 0 binary32))) n1_i (fma.f32 (sin.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) normAngle #s(literal 0 binary32))) n0_i #s(literal 0 binary32))) (sin.f32 normAngle))
(* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i)
(fma.f32 (sin.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) normAngle #s(literal 0 binary32))) (/.f32 n0_i (sin.f32 normAngle)) #s(literal 0 binary32))
(* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle)))
(/.f32 (sin.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) normAngle #s(literal 0 binary32))) (sin.f32 normAngle))
(sin (* (- 1 u) normAngle))
(sin.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) normAngle #s(literal 0 binary32)))
(* (- 1 u) normAngle)
(fma.f32 (-.f32 #s(literal 1 binary32) u) normAngle #s(literal 0 binary32))
(- 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)
(fma.f32 (sin.f32 (fma.f32 u normAngle #s(literal 0 binary32))) (/.f32 n1_i (sin.f32 normAngle)) #s(literal 0 binary32))
(* (sin (* u normAngle)) (/ 1 (sin normAngle)))
(/.f32 (sin.f32 (fma.f32 u normAngle #s(literal 0 binary32))) (sin.f32 normAngle))
(sin (* u normAngle))
(sin.f32 (fma.f32 u normAngle #s(literal 0 binary32)))
(* u normAngle)
(fma.f32 u normAngle #s(literal 0 binary32))
n1_i

localize59.0ms (0.3%)

Memory
-6.0MiB live, 112.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
accuracy99.5%
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
accuracy98.8%
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
accuracy96.0%
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
Samples
32.0ms246×0valid
6.0ms10×5exit
Compiler

Compiled 103 to 19 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 11.0ms (41% of total)
ival-sin: 7.0ms (26.1% of total)
ival-sub: 4.0ms (14.9% of total)
ival-div: 2.0ms (7.4% of total)
adjust: 1.0ms (3.7% of total)
ival-add: 1.0ms (3.7% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series143.0ms (0.8%)

Memory
-1.0MiB live, 73.7MiB allocated
Counts
6 → 180
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))>
#<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 (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 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

45 calls:

TimeVariablePointExpression
4.0ms
n0_i
@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
normAngle
@0
(+ (* (* (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))

rewrite429.0ms (2.3%)

Memory
-18.3MiB live, 851.1MiB 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
01759
17159
245758
3483158
0847457
Stop Event
iter limit
node limit
Counts
6 → 247
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))
(* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i)
(* (- 1 u) normAngle)
Outputs
(neg.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (/.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 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) (*.f32 normAngle (+.f32 #s(literal 1 binary32) u)))))) (-.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 (*.f32 u normAngle)) n1_i) (/.f32 (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))) (sin.f32 normAngle))))))
(neg.f32 (/.f32 (fma.f32 n0_i (*.f32 n0_i (/.f32 (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 normAngle (+.f32 #s(literal 1 binary32) u)))))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle)))))) (*.f32 (neg.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))))))) (neg.f32 (/.f32 (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)))))
(neg.f32 (/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (/.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 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) (*.f32 normAngle (+.f32 #s(literal 1 binary32) u)))))) (-.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 (*.f32 u normAngle)) n1_i) (/.f32 (-.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))) (sin.f32 normAngle)))))
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(fma.f32 (sin.f32 (*.f32 normAngle (neg.f32 u))) (cos.f32 normAngle) (*.f32 (cos.f32 (*.f32 u normAngle)) (sin.f32 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))
(neg.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))))
(exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))))
(exp.f32 (*.f32 (log.f32 (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) #s(literal 1 binary32)))
(pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 1 binary32))
(pow.f32 (/.f32 (sin.f32 normAngle) (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i)))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u)))))
(/.f32 (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 1 binary32))
(/.f32 (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i) (sin.f32 normAngle))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i)) (-.f32 #s(literal 0 binary32) (sin.f32 normAngle)))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i) #s(literal -1 binary32)) (-.f32 #s(literal 0 binary32) (sin.f32 normAngle)))
(/.f32 (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (neg.f32 n0_i)) (-.f32 #s(literal 0 binary32) (sin.f32 normAngle)))
(/.f32 (*.f32 n0_i (neg.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))))) (-.f32 #s(literal 0 binary32) (sin.f32 normAngle)))
(/.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i)) (-.f32 #s(literal 0 binary32) (sin.f32 normAngle)))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u)))) n0_i) (-.f32 #s(literal 0 binary32) (sin.f32 normAngle)))
(/.f32 (*.f32 (neg.f32 n0_i) (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u)))) (-.f32 #s(literal 0 binary32) (sin.f32 normAngle)))
(/.f32 (exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i))) (sin.f32 normAngle))
(*.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (exp.f32 (log.f32 (*.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))) (sin.f32 normAngle)) n0_i)
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 n0_i #s(literal 1 binary32)))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
(*.f32 (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))))
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))))
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) #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 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i)))
(*.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) #s(literal -1 binary32))
(*.f32 (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (*.f32 (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)))
(*.f32 (*.f32 (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) 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 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) 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 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))))
(*.f32 (exp.f32 (log.f32 (/.f32 n0_i (sin.f32 normAngle)))) (exp.f32 (log.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))))))
(*.f32 (exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) (exp.f32 (log.f32 n0_i)))
(*.f32 (exp.f32 (log.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))))) (exp.f32 (log.f32 (/.f32 n0_i (sin.f32 normAngle)))))
(*.f32 (exp.f32 (log.f32 (*.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) 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 (fma.f32 u (+.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (*.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 (fma.f32 u (+.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (*.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))) (fma.f32 u (+.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(/.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 (fma.f32 u (+.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(/.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 (fma.f32 u (+.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(/.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 (fma.f32 u (+.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(/.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) (fma.f32 u (+.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) normAngle))
(*.f32 (fma.f32 u (*.f32 u u) #s(literal 1 binary32)) (/.f32 normAngle (fma.f32 u (+.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(*.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) (fma.f32 u (+.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(*.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))) (fma.f32 u (+.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(*.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)))

simplify610.0ms (3.3%)

Memory
-13.9MiB live, 991.6MiB allocated
Algorithm
egg-herbie
Rules
13 832×accelerator-lowering-fma.f32
13 832×accelerator-lowering-fma.f64
7 000×+-lowering-+.f64
7 000×+-lowering-+.f32
6 084×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03593068
111132964
238632904
089302781
Stop Event
iter limit
node limit
Counts
180 → 180
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))
(sin normAngle)
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle)))))))))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (+ 1 (* -1 u))))
(sin (* normAngle (+ 1 (* -1 u))))
(sin (* normAngle (+ 1 (* -1 u))))
(sin (* normAngle (+ 1 (* -1 u))))
(* normAngle (- 1 u))
(* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u))
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u))
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (- 1 u) 7))) (* 1/120 (pow (- 1 u) 5))))))) u))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
n0_i
(+ n0_i (* -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 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (-.f32 #s(literal 0 binary32) (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 (-.f32 #s(literal 0 binary32) (cos.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle)) (*.f32 u (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)))) (/.f32 (*.f32 normAngle 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 (-.f32 #s(literal 0 binary32) (cos.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle)) (*.f32 u (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)))) (fma.f32 (fma.f32 n0_i (*.f32 (*.f32 (cos.f32 normAngle) (/.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (sin.f32 normAngle))) #s(literal 1/6 binary32)) (/.f32 (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle) n1_i) (sin.f32 normAngle))) (*.f32 u u) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))) n0_i)
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 u n1_i (*.f32 (*.f32 normAngle normAngle) (fma.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 n1_i #s(literal -1/6 binary32)) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))))
(+ (* 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 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 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 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 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)))))) (*.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 normAngle (*.f32 normAngle (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 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 n1_i (pow.f32 u #s(literal 7 binary32)) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)))) (fma.f32 #s(literal 1/6 binary32) (+.f32 (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 1/6 binary32) (*.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 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))))))) (neg.f32 (fma.f32 #s(literal -1/5040 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) (*.f32 #s(literal -1/720 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))))))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 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 (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
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(*.f32 n0_i (fma.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (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 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (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 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (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 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (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 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.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 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.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 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.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 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.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 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.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 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.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 (-.f32 #s(literal 0 binary32) (cos.f32 normAngle))) (/.f32 normAngle (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 #s(literal 0 binary32) (cos.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle)) (*.f32 u (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle 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 (cos.f32 normAngle) (*.f32 (*.f32 normAngle normAngle) (*.f32 u normAngle))) (sin.f32 normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle))) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (-.f32 #s(literal 0 binary32) (sin.f32 normAngle)))) #s(literal 1 binary32))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (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 normAngle (*.f32 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) (fma.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 (*.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))) #s(literal -1/120 binary32) (neg.f32 (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 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/ (* normAngle u) (sin normAngle))
(*.f32 u (/.f32 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 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) 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 u (*.f32 u (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 u u) (/.f32 (*.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 #s(literal -1/5040 binary32) (pow.f32 normAngle #s(literal 7 binary32))) (/.f32 (*.f32 u u) (sin.f32 normAngle)))) (/.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) 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 normAngle (*.f32 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))
(sin normAngle)
(sin.f32 normAngle)
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))
(fma.f32 u (*.f32 normAngle (-.f32 #s(literal 0 binary32) (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 u (*.f32 (sin.f32 normAngle) (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle))) (*.f32 normAngle (-.f32 #s(literal 0 binary32) (cos.f32 normAngle)))) (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 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (*.f32 (*.f32 (*.f32 normAngle normAngle) (*.f32 u normAngle)) (*.f32 (cos.f32 normAngle) #s(literal 1/6 binary32)))) (*.f32 normAngle (-.f32 #s(literal 0 binary32) (cos.f32 normAngle)))) (sin.f32 normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (* normAngle (- 1 u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (* normAngle (- 1 u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (* normAngle (- 1 u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (* normAngle (+ 1 (* -1 u))))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (* normAngle (+ 1 (* -1 u))))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (* normAngle (+ 1 (* -1 u))))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (* normAngle (+ 1 (* -1 u))))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(* normAngle (- 1 u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u))
(*.f32 normAngle (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32)) (-.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 u #s(literal 1/6 binary32) #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 u #s(literal 1/6 binary32) #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 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (* normAngle (- 1 u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (* normAngle (- 1 u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (* normAngle (- 1 u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (* normAngle (- 1 u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (* normAngle (- 1 u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (* normAngle (- 1 u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (* normAngle (- 1 u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
n0_i
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(fma.f32 (*.f32 normAngle (*.f32 u (-.f32 #s(literal 0 binary32) (cos.f32 normAngle)))) (/.f32 n0_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))))))
(fma.f32 u (*.f32 n0_i (fma.f32 (-.f32 #s(literal 0 binary32) (cos.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle)) (*.f32 u (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle 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 (cos.f32 normAngle) (*.f32 (*.f32 normAngle normAngle) (*.f32 u normAngle))) (sin.f32 normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)))) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (-.f32 #s(literal 0 binary32) (sin.f32 normAngle)))) n0_i)
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(* n0_i (- 1 u))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+ (* 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 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 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 1/6 binary32) (*.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 n0_i (-.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))) (* (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))) (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 1/6 binary32) (*.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)))))) (neg.f32 (fma.f32 n0_i (fma.f32 #s(literal -1/5040 binary32) (neg.f32 u) #s(literal -1/5040 binary32)) (*.f32 #s(literal 1/120 binary32) (*.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 (*.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 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 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 n0_i (-.f32 #s(literal 1 binary32) u)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
normAngle
(+ normAngle (* -1 (* normAngle u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(+ normAngle (* -1 (* normAngle u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(+ normAngle (* -1 (* normAngle u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(* -1 (* normAngle u))
(-.f32 #s(literal 0 binary32) (*.f32 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))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(* -1 (* normAngle u))
(-.f32 #s(literal 0 binary32) (*.f32 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))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(* normAngle (- 1 u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(* normAngle (- 1 u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(* normAngle (- 1 u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(* normAngle (- 1 u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(* normAngle (- 1 u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(* normAngle (- 1 u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(* normAngle (- 1 u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(* normAngle (- 1 u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(* normAngle (- 1 u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(* normAngle (- 1 u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(* normAngle (- 1 u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(* normAngle (- 1 u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))

eval40.0ms (0.2%)

Memory
31.7MiB live, 107.3MiB allocated
Compiler

Compiled 15 983 to 1 138 computations (92.9% saved)

prune59.0ms (0.3%)

Memory
8.1MiB live, 163.8MiB allocated
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New41017427
Fresh000
Picked101
Done000
Total41117428
Accuracy
99.9%
Counts
428 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.5%
(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
93.3%
(fma.f32 u (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (-.f32 #s(literal 0 binary32) (sin.f32 normAngle)))) n0_i)
92.5%
(fma.f32 u (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 0 binary32) (cos.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle)) (*.f32 u (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) n0_i)
99.1%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 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 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 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)))))) (*.f32 u n1_i)))
98.7%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 u n1_i (*.f32 (*.f32 normAngle normAngle) (fma.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 n1_i #s(literal -1/6 binary32)) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))))
97.4%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
97.4%
(+.f32 (*.f32 (fma.f32 normAngle (*.f32 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))
97.0%
(+.f32 (*.f32 (-.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))
97.2%
(+.f32 (*.f32 (*.f32 (sin.f32 (/.f32 (*.f32 normAngle (fma.f32 u (neg.f32 u) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u))) (/.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))
98.3%
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
98.7%
(+.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 u (/.f32 normAngle (sin.f32 normAngle))) 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))
79.1%
(+.f32 n0_i (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
62.6%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
35.8%
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
60.7%
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
46.7%
n0_i
Compiler

Compiled 952 to 534 computations (43.9% saved)

simplify673.0ms (3.7%)

Memory
-10.9MiB live, 783.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 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) (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 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i))
cost-diff160
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
cost-diff0
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
cost-diff0
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
cost-diff64
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
cost-diff160
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
cost-diff0
(-.f32 #s(literal 1 binary32) u)
cost-diff0
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
cost-diff0
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
cost-diff0
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
cost-diff64
(fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 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-diff96
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 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 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 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)))))) (*.f32 u n1_i)))
cost-diff320
(-.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 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 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))))
Rules
18 964×accelerator-lowering-fma.f32
18 964×accelerator-lowering-fma.f64
4 064×*-lowering-*.f32
4 064×*-lowering-*.f64
3 418×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063802
1184782
2621760
32466751
45085738
08136694
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* n0_i (- 1 u)) (+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/36 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120)))))) (* u n1_i)))
n0_i
(- 1 u)
1
u
(+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/36 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120)))))) (* u n1_i))
(* normAngle normAngle)
normAngle
(+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/36 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120)))))
-1/6
(+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))
(+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)
(+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1)
(* (- 1 u) (- 1 u))
-1
(* n1_i (* u (+ (* u u) -1)))
n1_i
(* u (+ (* u u) -1))
(+ (* u u) -1)
(* (* normAngle normAngle) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/36 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120))))
(- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/36 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120)))
(* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5))))
1/120
(+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))
(pow (- 1 u) 5)
5
(* n1_i (pow u 5))
(pow u 5)
(+ (* 1/36 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120))
1/36
(* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120)
(+ (* n0_i (- 1 u)) (* u n1_i))
(* u n1_i)
n0_i
(* (sin (* normAngle (- 1 u))) (/ n0_i (sin normAngle)))
(sin (* normAngle (- 1 u)))
(* normAngle (- 1 u))
normAngle
(- 1 u)
1
u
(/ n0_i (sin normAngle))
n0_i
(sin normAngle)
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (+ (* (* normAngle normAngle) (* u (+ (* (* u u) -1/6) 1/6))) 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
(* (+ (* (* normAngle normAngle) (* u (+ (* (* u u) -1/6) 1/6))) u) n1_i)
(+ (* (* normAngle normAngle) (* u (+ (* (* u u) -1/6) 1/6))) u)
(* normAngle normAngle)
(* u (+ (* (* u u) -1/6) 1/6))
(+ (* (* u u) -1/6) 1/6)
(* u u)
-1/6
1/6
n1_i
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* u (/ normAngle (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
(* (* u (/ normAngle (sin normAngle))) n1_i)
(* u (/ normAngle (sin normAngle)))
(/ normAngle (sin normAngle))
n1_i
Outputs
(+ (* n0_i (- 1 u)) (+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/36 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120)))))) (* u n1_i)))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (*.f32 u (fma.f32 n1_i (fma.f32 u u #s(literal -1 binary32)) n0_i))) #s(literal -1/36 binary32) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (fma.f32 n1_i (pow.f32 u #s(literal 5 binary32)) (fma.f32 u (-.f32 n0_i n1_i) (neg.f32 n0_i)))) #s(literal 0 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (*.f32 u (fma.f32 n1_i (fma.f32 u u #s(literal -1 binary32)) n0_i))))) (fma.f32 u (+.f32 (neg.f32 n0_i) n1_i) n0_i))
n0_i
(- 1 u)
(-.f32 #s(literal 1 binary32) u)
1
#s(literal 1 binary32)
u
(+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/36 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120)))))) (* u n1_i))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (*.f32 u (fma.f32 n1_i (fma.f32 u u #s(literal -1 binary32)) n0_i))) #s(literal -1/36 binary32) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (fma.f32 n1_i (pow.f32 u #s(literal 5 binary32)) (fma.f32 u (-.f32 n0_i n1_i) (neg.f32 n0_i)))) #s(literal 0 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (*.f32 u (fma.f32 n1_i (fma.f32 u u #s(literal -1 binary32)) n0_i))))) (*.f32 u n1_i))
(* normAngle normAngle)
(*.f32 normAngle normAngle)
normAngle
(+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/36 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120)))))
(fma.f32 normAngle (*.f32 normAngle (fma.f32 (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (*.f32 u (fma.f32 n1_i (fma.f32 u u #s(literal -1 binary32)) n0_i))) #s(literal -1/36 binary32) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (fma.f32 n1_i (pow.f32 u #s(literal 5 binary32)) (fma.f32 u (-.f32 n0_i n1_i) (neg.f32 n0_i)))) #s(literal 0 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (*.f32 u (fma.f32 n1_i (fma.f32 u u #s(literal -1 binary32)) n0_i)))))
-1/6
#s(literal -1/6 binary32)
(+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))
(fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (*.f32 u (fma.f32 n1_i (fma.f32 u u #s(literal -1 binary32)) n0_i)))
(+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)
(+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)))
(+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1)
(fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))
(* (- 1 u) (- 1 u))
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))
-1
#s(literal -1 binary32)
(* n1_i (* u (+ (* u u) -1)))
(*.f32 u (*.f32 n1_i (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))
(* (* normAngle normAngle) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/36 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120))))
(*.f32 normAngle (*.f32 normAngle (fma.f32 (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (*.f32 u (fma.f32 n1_i (fma.f32 u u #s(literal -1 binary32)) n0_i))) #s(literal -1/36 binary32) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (fma.f32 n1_i (pow.f32 u #s(literal 5 binary32)) (fma.f32 u (-.f32 n0_i n1_i) (neg.f32 n0_i)))) #s(literal 0 binary32)))))
(- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/36 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120)))
(fma.f32 (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (*.f32 u (fma.f32 n1_i (fma.f32 u u #s(literal -1 binary32)) n0_i))) #s(literal -1/36 binary32) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (fma.f32 n1_i (pow.f32 u #s(literal 5 binary32)) (fma.f32 u (-.f32 n0_i n1_i) (neg.f32 n0_i)))) #s(literal 0 binary32)))
(* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5))))
(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)))) #s(literal 0 binary32))
1/120
#s(literal 1/120 binary32)
(+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))
(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))))
(pow (- 1 u) 5)
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))
5
#s(literal 5 binary32)
(* n1_i (pow u 5))
(*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))
(pow u 5)
(pow.f32 u #s(literal 5 binary32))
(+ (* 1/36 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120))
(fma.f32 n0_i (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)) u) #s(literal -1/36 binary32)) (fma.f32 u (*.f32 n1_i (fma.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal 1/36 binary32) #s(literal 1/120 binary32))) (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1/120 binary32)))))
1/36
#s(literal 1/36 binary32)
(* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120)
(*.f32 #s(literal 1/120 binary32) (fma.f32 u (+.f32 (neg.f32 n0_i) n1_i) n0_i))
(+ (* n0_i (- 1 u)) (* u n1_i))
(fma.f32 u (+.f32 (neg.f32 n0_i) n1_i) n0_i)
(* u n1_i)
(*.f32 u n1_i)
n0_i
(* (sin (* normAngle (- 1 u))) (/ n0_i (sin normAngle)))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(sin (* normAngle (- 1 u)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(* normAngle (- 1 u))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
normAngle
(- 1 u)
(-.f32 #s(literal 1 binary32) u)
1
#s(literal 1 binary32)
u
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
n0_i
(sin normAngle)
(sin.f32 normAngle)
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (+ (* (* normAngle normAngle) (* u (+ (* (* u u) -1/6) 1/6))) u) n1_i))
(fma.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 u n1_i) (fma.f32 normAngle (*.f32 normAngle (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32))))
(* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i)
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle)))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(sin (* (- 1 u) normAngle))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(* (- 1 u) normAngle)
(*.f32 (-.f32 #s(literal 1 binary32) u) 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
(* (+ (* (* normAngle normAngle) (* u (+ (* (* u u) -1/6) 1/6))) u) n1_i)
(*.f32 (*.f32 u n1_i) (fma.f32 normAngle (*.f32 normAngle (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32)))
(+ (* (* normAngle normAngle) (* u (+ (* (* u u) -1/6) 1/6))) u)
(*.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32)))
(* normAngle normAngle)
(*.f32 normAngle normAngle)
(* u (+ (* (* u u) -1/6) 1/6))
(*.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))
(+ (* (* u u) -1/6) 1/6)
(fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))
(* u u)
(*.f32 u u)
-1/6
#s(literal -1/6 binary32)
1/6
#s(literal 1/6 binary32)
n1_i
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* u (/ normAngle (sin normAngle))) n1_i))
(fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (/.f32 (*.f32 u (*.f32 normAngle n1_i)) (sin.f32 normAngle)))
(* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i)
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle)))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(sin (* (- 1 u) normAngle))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(* (- 1 u) normAngle)
(*.f32 (-.f32 #s(literal 1 binary32) u) 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 (/ normAngle (sin normAngle))) n1_i)
(/.f32 (*.f32 u (*.f32 normAngle n1_i)) (sin.f32 normAngle))
(* u (/ normAngle (sin normAngle)))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/ normAngle (sin normAngle))
(/.f32 normAngle (sin.f32 normAngle))
n1_i

localize436.0ms (2.4%)

Memory
-2.1MiB live, 329.8MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.6%
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i))
accuracy99.6%
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
accuracy99.5%
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
accuracy98.7%
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
accuracy99.5%
(fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))
accuracy99.5%
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
accuracy99.0%
(*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))
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 normAngle (-.f32 #s(literal 1 binary32) u)))
accuracy99.9%
(/.f32 n0_i (sin.f32 normAngle))
accuracy99.6%
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
accuracy98.9%
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
accuracy98.0%
(*.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)) #s(literal 1/120 binary32))
accuracy97.2%
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))
accuracy78.4%
(-.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 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 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))))
accuracy61.7%
(fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))
Samples
185.0ms246×0valid
10.0ms3valid
5.0ms4valid
2.0ms5exit
Compiler

Compiled 810 to 65 computations (92% saved)

Precisions
Click to see histograms. Total time spent on operations: 150.0ms
ival-mult: 67.0ms (44.7% of total)
const: 43.0ms (28.7% of total)
ival-add: 16.0ms (10.7% of total)
ival-sin: 7.0ms (4.7% of total)
ival-div: 6.0ms (4% of total)
ival-pow: 5.0ms (3.3% of total)
ival-sub: 3.0ms (2% of total)
adjust: 2.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series130.0ms (0.7%)

Memory
9.0MiB live, 129.4MiB allocated
Counts
20 → 564
Calls
Call 1
Inputs
#<alt (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/36 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120)))>
#<alt (+ (* n0_i (- 1 u)) (+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/36 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120)))))) (* u n1_i)))>
#<alt (+ (* n0_i (- 1 u)) (* u n1_i))>
#<alt (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))>
#<alt (* (sin (* normAngle (- 1 u))) (/ n0_i (sin normAngle)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (* normAngle (- 1 u))>
#<alt (- 1 u)>
#<alt (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle)))>
#<alt (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (+ (* (* normAngle normAngle) (* u (+ (* (* u u) -1/6) 1/6))) u) n1_i))>
#<alt (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i)>
#<alt (sin (* (- 1 u) normAngle))>
#<alt (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* u (/ normAngle (sin normAngle))) n1_i))>
#<alt (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1)>
#<alt (pow (- 1 u) 5)>
#<alt (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120)>
#<alt (/ n0_i (sin normAngle))>
#<alt (* u (+ (* (* u u) -1/6) 1/6))>
#<alt (+ (* (* u u) -1/6) 1/6)>
#<alt (* (- 1 u) normAngle)>
Outputs
#<alt (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))>
#<alt (- (+ (* 1/120 (* n1_i (pow u 5))) (* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))>
#<alt (- (+ (* 1/120 (* n1_i (pow u 5))) (* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))>
#<alt (- (+ (* 1/120 (* n1_i (pow u 5))) (* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))>
#<alt (* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))>
#<alt (* n0_i (- (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5))) (+ (* 1/120 (- 1 u)) (+ (* 1/120 (/ (* n1_i u) n0_i)) (+ (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/36 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))))>
#<alt (* n0_i (- (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5))) (+ (* 1/120 (- 1 u)) (+ (* 1/120 (/ (* n1_i u) n0_i)) (+ (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/36 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))))>
#<alt (* n0_i (- (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5))) (+ (* 1/120 (- 1 u)) (+ (* 1/120 (/ (* n1_i u) n0_i)) (+ (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/36 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))))>
#<alt (* -1 (* n0_i (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u))))))>
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))) n0_i)) (* -1/120 (pow (- 1 u) 5))) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u))))))>
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))) n0_i)) (* -1/120 (pow (- 1 u) 5))) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u))))))>
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))) n0_i)) (* -1/120 (pow (- 1 u) 5))) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u))))))>
#<alt (* u (- (* -1/24 n0_i) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i))))))>
#<alt (* u (- (+ (* -1/24 n0_i) (* (pow u 2) (- (* -1/12 n0_i) (* 1/36 (+ n1_i (* -1 n0_i)))))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i))))))>
#<alt (* u (- (+ (* -1/24 n0_i) (* (pow u 2) (- (+ (* -1/12 n0_i) (* 1/24 (* n0_i u))) (* 1/36 (+ n1_i (* -1 n0_i)))))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i))))))>
#<alt (* u (- (+ (* -1/24 n0_i) (* (pow u 2) (- (+ (* -1/12 n0_i) (* u (+ (* 1/120 (* u (+ n1_i (* -1 n0_i)))) (* 1/24 n0_i)))) (* 1/36 (+ n1_i (* -1 n0_i)))))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i))))))>
#<alt (* 1/120 (* (pow u 5) (+ n1_i (* -1 n0_i))))>
#<alt (* (pow u 5) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/24 (/ n0_i u))))>
#<alt (* (pow u 5) (- (+ (* -1/12 (/ n0_i (pow u 2))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/24 (/ n0_i u)))) (* 1/36 (/ (+ n1_i (* -1 n0_i)) (pow u 2)))))>
#<alt (* (pow u 5) (- (+ (* -1/12 (/ n0_i (pow u 2))) (+ (* -1/24 (/ n0_i (pow u 4))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/24 (/ n0_i u))))) (+ (* 1/120 (/ (+ n1_i (* -1 n0_i)) (pow u 4))) (+ (* 1/36 (/ (+ n1_i (* -1 n0_i)) (pow u 2))) (* 1/36 (/ (+ (* -2 n0_i) (* -1 n1_i)) (pow u 4)))))))>
#<alt (* -1/120 (* (pow u 5) (+ n0_i (* -1 n1_i))))>
#<alt (* -1 (* (pow u 5) (+ (* -1/24 (/ n0_i u)) (* 1/120 (+ n0_i (* -1 n1_i))))))>
#<alt (* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/12 n0_i) (* 1/36 (+ n0_i (* -1 n1_i)))) u)) (* 1/24 n0_i)) u)) (* 1/120 (+ n0_i (* -1 n1_i))))))>
#<alt (* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* 1/24 (/ n0_i (pow u 2))) (* 1/12 n0_i)) (+ (* 1/120 (/ (+ n0_i (* -1 n1_i)) (pow u 2))) (+ (* 1/36 (+ n0_i (* -1 n1_i))) (* 1/36 (/ (+ n1_i (* 2 n0_i)) (pow u 2)))))) u)) (* 1/24 n0_i)) u)) (* 1/120 (+ n0_i (* -1 n1_i))))))>
#<alt (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))>
#<alt (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* n1_i (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1))))))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))>
#<alt (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* n1_i (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1))))))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))>
#<alt (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* n1_i (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1))))))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))>
#<alt (* n1_i (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1))))))>
#<alt (* n1_i (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* 1/120 u) (+ (* 1/120 (/ (* n0_i (- 1 u)) n1_i)) (+ (* 1/36 (* u (- (pow u 2) 1))) (* 1/36 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))))))>
#<alt (* n1_i (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* 1/120 u) (+ (* 1/120 (/ (* n0_i (- 1 u)) n1_i)) (+ (* 1/36 (* u (- (pow u 2) 1))) (* 1/36 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))))))>
#<alt (* n1_i (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* 1/120 u) (+ (* 1/120 (/ (* n0_i (- 1 u)) n1_i)) (+ (* 1/36 (* u (- (pow u 2) 1))) (* 1/36 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))))))>
#<alt (* -1 (* n1_i (- (* -1/120 (pow u 5)) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u)))))>
#<alt (* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))) n1_i)) (* -1/120 (pow u 5))) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u)))))>
#<alt (* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))) n1_i)) (* -1/120 (pow u 5))) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u)))))>
#<alt (* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))) n1_i)) (* -1/120 (pow u 5))) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u)))))>
#<alt (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))))))>
#<alt (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))))) u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))))>
#<alt (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))))) u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))))>
#<alt (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))))) u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))))>
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))))) u))>
#<alt (* n0_i (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1))))))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))))) n0_i)))) u))>
#<alt (* n0_i (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1))))))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))))) n0_i)))) u))>
#<alt (* n0_i (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1))))))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))))) n0_i)))) u))>
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* (pow normAngle 2) (+ (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u))))))))))>
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))) n0_i)) (* (pow normAngle 2) (+ (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u)))))))))))>
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))) n0_i)) (* (pow normAngle 2) (+ (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u)))))))))))>
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))) n0_i)) (* (pow normAngle 2) (+ (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u)))))))))))>
#<alt n0_i>
#<alt (+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i))))))))))))>
#<alt (+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i)))))))))))))>
#<alt (+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* -1/12 n0_i) (* 1/36 (+ n1_i (* -1 n0_i)))))))))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i)))))))))))))>
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#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* (pow normAngle 2) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))))))))))>
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* (pow normAngle 2) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))))))))))>
#<alt (* (pow normAngle 4) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))))))>
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#<alt (* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))))))>
#<alt (* (pow normAngle 4) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))))))>
#<alt (* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))))))>
#<alt (* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))))))>
#<alt (* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))))))>
#<alt (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))))))>
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))))))))>
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))))))))>
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))))))))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1))))))))))>
#<alt (* n1_i (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))))) n1_i)))))>
#<alt (* n1_i (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))))) n1_i)))))>
#<alt (* n1_i (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))))) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* (pow normAngle 2) (+ (* 1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* -1/120 (pow u 5)) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u)))))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))))))) n1_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* -1/120 (pow u 5)) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u))))))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))))))) n1_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* -1/120 (pow u 5)) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u))))))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))))))) n1_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* -1/120 (pow u 5)) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u))))))))))>
#<alt (* n1_i u)>
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#<alt n0_i>
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#<alt (* n1_i u)>
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#<alt (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))>
#<alt (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))>
#<alt (* n1_i u)>
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#<alt (* n1_i (* u (- (pow u 2) 1)))>
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#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin normAngle)>
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#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
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#<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>
#<alt (+ normAngle (* -1 (* normAngle u)))>
#<alt (+ normAngle (* -1 (* normAngle u)))>
#<alt (+ normAngle (* -1 (* normAngle u)))>
#<alt (* -1 (* normAngle u))>
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#<alt (* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))>
#<alt (* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))>
#<alt 1>
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#<alt (* -1 u)>
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#<alt (* -1 u)>
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#<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))))))))>
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#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
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#<alt (- 1 u)>
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#<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))>
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#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt n0_i>
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#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (* n1_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle)))))))))))>
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))>
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#<alt (* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 3) (sin normAngle))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))))>
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#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 3) (sin normAngle)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2))))))>
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#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u)))))))>
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u)))))))>
#<alt (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))>
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))>
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#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
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#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
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#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
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#<alt (* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))>
#<alt (* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))>
#<alt (* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))>
#<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 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))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle))))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* u (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* u (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* u (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* -1 (* u (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle)))) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))>
#<alt (* -1 (* u (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle)))) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))>
#<alt (* -1 (* u (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle)))) (* -1 (/ (* n1_i normAngle) (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))) (* -1/6 (* n1_i 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))))) (+ (* -1/36 (* 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))) (* (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))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/36 (* 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 (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* normAngle (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* normAngle (sin normAngle))) (/ (* n1_i u) (sin normAngle))))>
#<alt (* normAngle (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* normAngle (sin normAngle))) (/ (* n1_i u) (sin normAngle))))>
#<alt (* normAngle (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* normAngle (sin normAngle))) (/ (* n1_i u) (sin normAngle))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* -1 (* normAngle (+ (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* normAngle (sin normAngle)))) (* -1 (/ (* n1_i u) (sin normAngle))))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* normAngle (sin normAngle)))) (* -1 (/ (* n1_i u) (sin normAngle))))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* normAngle (sin normAngle)))) (* -1 (/ (* n1_i u) (sin normAngle))))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (* 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 (* normAngle u)) (* n0_i (sin normAngle)))))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (* 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 (* normAngle u)) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* n1_i (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))) (/ (* normAngle u) (sin normAngle))))>
#<alt (* n1_i (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))) (/ (* normAngle u) (sin normAngle))))>
#<alt (* n1_i (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))) (/ (* normAngle u) (sin normAngle))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))) (* -1 (/ (* normAngle u) (sin normAngle))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))) (* -1 (/ (* normAngle u) (sin normAngle))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))) (* -1 (/ (* normAngle u) (sin normAngle))))))>
#<alt (* -3 u)>
#<alt (* u (- (* 3 u) 3))>
#<alt (* u (- (* u (+ 3 (* -1 u))) 3))>
#<alt (* u (- (* u (+ 3 (* -1 u))) 3))>
#<alt (* -1 (pow u 3))>
#<alt (* (pow u 3) (- (* 3 (/ 1 u)) 1))>
#<alt (* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2)))))>
#<alt (* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2)))))>
#<alt (* -1 (pow u 3))>
#<alt (* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u)))))>
#<alt (* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u)))))>
#<alt (* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u)))))>
#<alt 1>
#<alt (+ 1 (* -5 u))>
#<alt (+ 1 (* u (- (* 10 u) 5)))>
#<alt (+ 1 (* u (- (* u (+ 10 (* -10 u))) 5)))>
#<alt (* -1 (pow u 5))>
#<alt (* (pow u 5) (- (* 5 (/ 1 u)) 1))>
#<alt (* (pow u 5) (- (* 5 (/ 1 u)) (+ 1 (/ 10 (pow u 2)))))>
#<alt (* (pow u 5) (- (+ (* 5 (/ 1 u)) (* 10 (/ 1 (pow u 3)))) (+ 1 (/ 10 (pow u 2)))))>
#<alt (* -1 (pow u 5))>
#<alt (* -1 (* (pow u 5) (- 1 (* 5 (/ 1 u)))))>
#<alt (* -1 (* (pow u 5) (+ 1 (* -1 (/ (- 5 (* 10 (/ 1 u))) u)))))>
#<alt (* -1 (* (pow u 5) (+ 1 (* -1 (/ (+ 5 (* -1 (/ (- 10 (* 10 (/ 1 u))) u))) u)))))>
#<alt (* 1/120 (* n1_i u))>
#<alt (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u)))>
#<alt (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u)))>
#<alt (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u)))>
#<alt (* 1/120 (* n0_i (- 1 u)))>
#<alt (* n0_i (+ (* 1/120 (- 1 u)) (* 1/120 (/ (* n1_i u) n0_i))))>
#<alt (* n0_i (+ (* 1/120 (- 1 u)) (* 1/120 (/ (* n1_i u) n0_i))))>
#<alt (* n0_i (+ (* 1/120 (- 1 u)) (* 1/120 (/ (* n1_i u) n0_i))))>
#<alt (* 1/120 (* n0_i (- 1 u)))>
#<alt (* -1 (* n0_i (+ (* -1/120 (- 1 u)) (* -1/120 (/ (* n1_i u) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1/120 (- 1 u)) (* -1/120 (/ (* n1_i u) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1/120 (- 1 u)) (* -1/120 (/ (* n1_i u) n0_i)))))>
#<alt (* 1/120 n0_i)>
#<alt (+ (* 1/120 n0_i) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))>
#<alt (+ (* 1/120 n0_i) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))>
#<alt (+ (* 1/120 n0_i) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))>
#<alt (* 1/120 (* u (+ n1_i (* -1 n0_i))))>
#<alt (* u (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/120 (/ n0_i u))))>
#<alt (* u (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/120 (/ n0_i u))))>
#<alt (* u (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/120 (/ n0_i u))))>
#<alt (* -1/120 (* u (+ n0_i (* -1 n1_i))))>
#<alt (* -1 (* u (+ (* -1/120 (/ n0_i u)) (* 1/120 (+ n0_i (* -1 n1_i))))))>
#<alt (* -1 (* u (+ (* -1/120 (/ n0_i u)) (* 1/120 (+ n0_i (* -1 n1_i))))))>
#<alt (* -1 (* u (+ (* -1/120 (/ n0_i u)) (* 1/120 (+ n0_i (* -1 n1_i))))))>
#<alt (* 1/120 (* n0_i (- 1 u)))>
#<alt (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u)))>
#<alt (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u)))>
#<alt (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u)))>
#<alt (* 1/120 (* n1_i u))>
#<alt (* n1_i (+ (* 1/120 u) (* 1/120 (/ (* n0_i (- 1 u)) n1_i))))>
#<alt (* n1_i (+ (* 1/120 u) (* 1/120 (/ (* n0_i (- 1 u)) n1_i))))>
#<alt (* n1_i (+ (* 1/120 u) (* 1/120 (/ (* n0_i (- 1 u)) n1_i))))>
#<alt (* 1/120 (* n1_i u))>
#<alt (* -1 (* n1_i (+ (* -1/120 u) (* -1/120 (/ (* n0_i (- 1 u)) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1/120 u) (* -1/120 (/ (* n0_i (- 1 u)) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1/120 u) (* -1/120 (/ (* n0_i (- 1 u)) n1_i)))))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i normAngle)>
#<alt (/ (+ n0_i (* 1/6 (* n0_i (pow normAngle 2)))) normAngle)>
#<alt (/ (+ n0_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n0_i) (* 1/120 n0_i)))) (* -1/6 n0_i)))) normAngle)>
#<alt (/ (+ n0_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n0_i) (+ (* 1/720 n0_i) (* 1/6 (+ (* -1/36 n0_i) (* 1/120 n0_i))))))) (+ (* -1/36 n0_i) (* 1/120 n0_i)))) (* -1/6 n0_i)))) normAngle)>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (* 1/6 u)>
#<alt (* u (+ 1/6 (* -1/6 (pow u 2))))>
#<alt (* u (+ 1/6 (* -1/6 (pow u 2))))>
#<alt (* u (+ 1/6 (* -1/6 (pow u 2))))>
#<alt (* -1/6 (pow u 3))>
#<alt (* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* -1/6 (pow u 3))>
#<alt (* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))>
#<alt (* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))>
#<alt (* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))>
#<alt 1/6>
#<alt (+ 1/6 (* -1/6 (pow u 2)))>
#<alt (+ 1/6 (* -1/6 (pow u 2)))>
#<alt (+ 1/6 (* -1/6 (pow u 2)))>
#<alt (* -1/6 (pow u 2))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* -1/6 (pow u 2))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt 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

141 calls:

TimeVariablePointExpression
29.0ms
u
@0
(+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))
26.0ms
n1_i
@-inf
(- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/36 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120)))
12.0ms
n0_i
@-inf
(- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/36 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120)))
7.0ms
n1_i
@inf
(- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/36 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120)))
3.0ms
n0_i
@0
(- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/36 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120)))

rewrite1.1s (5.9%)

Memory
14.7MiB live, 1 541.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 466×*-lowering-*.f32
7 466×*-lowering-*.f64
6 264×accelerator-lowering-fma.f32
6 264×accelerator-lowering-fma.f64
3 380×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063322
1398318
23702318
010407297
Stop Event
iter limit
node limit
Counts
20 → 679
Calls
Call 1
Inputs
(- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/36 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120)))
(+ (* n0_i (- 1 u)) (+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/36 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120)))))) (* u n1_i)))
(+ (* n0_i (- 1 u)) (* u n1_i))
(+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))
(* (sin (* normAngle (- 1 u))) (/ n0_i (sin normAngle)))
(sin (* normAngle (- 1 u)))
(* normAngle (- 1 u))
(- 1 u)
(* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle)))
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (+ (* (* normAngle normAngle) (* u (+ (* (* u u) -1/6) 1/6))) u) n1_i))
(* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i)
(sin (* (- 1 u) normAngle))
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* u (/ normAngle (sin normAngle))) n1_i))
(+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1)
(pow (- 1 u) 5)
(* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120)
(/ n0_i (sin normAngle))
(* u (+ (* (* u u) -1/6) 1/6))
(+ (* (* u u) -1/6) 1/6)
(* (- 1 u) normAngle)
Outputs
(+.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))))))
(+.f32 (neg.f32 (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))))))
(+.f32 (*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n0_i #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))))))
(+.f32 (*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n0_i #s(literal 1/120 binary32))) (-.f32 (*.f32 n1_i (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))))))
(+.f32 (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))))) (neg.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))))
(+.f32 (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))))) (*.f32 #s(literal -1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))))
(+.f32 (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))))) (*.f32 (neg.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))) #s(literal 1/120 binary32)))
(pow.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))))) (pow.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))))) #s(literal 2 binary32))) (-.f32 (*.f32 #s(literal 1/1728000 binary32) (pow.f32 (fma.f32 n0_i (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) #s(literal 3 binary32))) (pow.f32 (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))))) (fma.f32 #s(literal 1/14400 binary32) (pow.f32 (fma.f32 n0_i (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) #s(literal 2 binary32)) (*.f32 (neg.f32 (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))))))) #s(literal -1 binary32))
(fma.f32 #s(literal 1/120 binary32) (*.f32 n0_i (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) (fma.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))))))
(fma.f32 #s(literal 1/120 binary32) (*.f32 n0_i (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) (-.f32 (*.f32 n1_i (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))))))
(fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))))))
(fma.f32 n0_i (*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))))))
(fma.f32 n0_i (*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) #s(literal 1/120 binary32)) (-.f32 (*.f32 n1_i (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))))))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n0_i #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))))))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n0_i #s(literal 1/120 binary32)) (-.f32 (*.f32 n1_i (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))))))
(fma.f32 (*.f32 n0_i (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) #s(literal 1/120 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 u (*.f32 (fma.f32 u u #s(literal -1 binary32)) n1_i))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))))))
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(fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))
(fma.f32 (*.f32 u #s(literal -1/6 binary32)) u #s(literal 1/6 binary32))
(-.f32 (/.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 u (*.f32 u (*.f32 u u)))) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal -1/6 binary32))) (/.f32 #s(literal 1/36 binary32) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal -1/6 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 u (*.f32 u (*.f32 u u))) (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u u) #s(literal -1/36 binary32)))) (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 u (*.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 u (*.f32 u (*.f32 u u))) #s(literal -1/36 binary32))))
(/.f32 (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 u (*.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 u (*.f32 u (*.f32 u u))) (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u u) #s(literal -1/36 binary32)))))
(/.f32 (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 u (*.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32)) (+.f32 #s(literal 1/36 binary32) (-.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 u (*.f32 u (*.f32 u u)))) (*.f32 (*.f32 u u) #s(literal -1/36 binary32)))))
(/.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 u (*.f32 u (*.f32 u u))) #s(literal -1/36 binary32)) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal -1/6 binary32)))
(/.f32 (neg.f32 (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 u (*.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 u (*.f32 u (*.f32 u u))) (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u u) #s(literal -1/36 binary32))))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 u (*.f32 u (*.f32 u u))) #s(literal -1/36 binary32))) (neg.f32 (fma.f32 (*.f32 u 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 (*.f32 u (*.f32 u u))))) (-.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 u u) #s(literal -1/6 binary32))))
(*.f32 (fma.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 u (*.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/36 binary32) (*.f32 u (*.f32 u (*.f32 u u))) (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 u u) #s(literal -1/36 binary32))))))
(*.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 u (*.f32 u (*.f32 u u))) #s(literal -1/36 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal -1/6 binary32))))
(+.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 #s(literal 1 binary32) normAngle (*.f32 (neg.f32 u) normAngle))
(fma.f32 normAngle #s(literal 1 binary32) (*.f32 normAngle (neg.f32 u)))
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u)))) (fma.f32 u (+.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 #s(literal 1 binary32) u))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u (*.f32 u u))) normAngle) (fma.f32 u (+.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))

simplify705.0ms (3.9%)

Memory
1.8MiB live, 1 330.3MiB allocated
Algorithm
egg-herbie
Rules
8 000×accelerator-lowering-fma.f32
8 000×accelerator-lowering-fma.f64
6 492×+-lowering-+.f64
6 492×+-lowering-+.f32
6 298×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096112380
1330311844
0802511161
Stop Event
iter limit
node limit
Counts
564 → 564
Calls
Call 1
Inputs
(- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))
(- (+ (* 1/120 (* n1_i (pow u 5))) (* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))
(- (+ (* 1/120 (* n1_i (pow u 5))) (* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))
(- (+ (* 1/120 (* n1_i (pow u 5))) (* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))
(* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))
(* n0_i (- (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5))) (+ (* 1/120 (- 1 u)) (+ (* 1/120 (/ (* n1_i u) n0_i)) (+ (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/36 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))))
(* n0_i (- (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5))) (+ (* 1/120 (- 1 u)) (+ (* 1/120 (/ (* n1_i u) n0_i)) (+ (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/36 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))))
(* n0_i (- (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5))) (+ (* 1/120 (- 1 u)) (+ (* 1/120 (/ (* n1_i u) n0_i)) (+ (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/36 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))))
(* -1 (* n0_i (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u))))))
(* -1 (* n0_i (- (+ (* -1 (/ (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))) n0_i)) (* -1/120 (pow (- 1 u) 5))) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u))))))
(* -1 (* n0_i (- (+ (* -1 (/ (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))) n0_i)) (* -1/120 (pow (- 1 u) 5))) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u))))))
(* -1 (* n0_i (- (+ (* -1 (/ (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))) n0_i)) (* -1/120 (pow (- 1 u) 5))) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u))))))
(* u (- (* -1/24 n0_i) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i))))))
(* u (- (+ (* -1/24 n0_i) (* (pow u 2) (- (* -1/12 n0_i) (* 1/36 (+ n1_i (* -1 n0_i)))))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i))))))
(* u (- (+ (* -1/24 n0_i) (* (pow u 2) (- (+ (* -1/12 n0_i) (* 1/24 (* n0_i u))) (* 1/36 (+ n1_i (* -1 n0_i)))))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i))))))
(* u (- (+ (* -1/24 n0_i) (* (pow u 2) (- (+ (* -1/12 n0_i) (* u (+ (* 1/120 (* u (+ n1_i (* -1 n0_i)))) (* 1/24 n0_i)))) (* 1/36 (+ n1_i (* -1 n0_i)))))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i))))))
(* 1/120 (* (pow u 5) (+ n1_i (* -1 n0_i))))
(* (pow u 5) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/24 (/ n0_i u))))
(* (pow u 5) (- (+ (* -1/12 (/ n0_i (pow u 2))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/24 (/ n0_i u)))) (* 1/36 (/ (+ n1_i (* -1 n0_i)) (pow u 2)))))
(* (pow u 5) (- (+ (* -1/12 (/ n0_i (pow u 2))) (+ (* -1/24 (/ n0_i (pow u 4))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/24 (/ n0_i u))))) (+ (* 1/120 (/ (+ n1_i (* -1 n0_i)) (pow u 4))) (+ (* 1/36 (/ (+ n1_i (* -1 n0_i)) (pow u 2))) (* 1/36 (/ (+ (* -2 n0_i) (* -1 n1_i)) (pow u 4)))))))
(* -1/120 (* (pow u 5) (+ n0_i (* -1 n1_i))))
(* -1 (* (pow u 5) (+ (* -1/24 (/ n0_i u)) (* 1/120 (+ n0_i (* -1 n1_i))))))
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/12 n0_i) (* 1/36 (+ n0_i (* -1 n1_i)))) u)) (* 1/24 n0_i)) u)) (* 1/120 (+ n0_i (* -1 n1_i))))))
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* 1/24 (/ n0_i (pow u 2))) (* 1/12 n0_i)) (+ (* 1/120 (/ (+ n0_i (* -1 n1_i)) (pow u 2))) (+ (* 1/36 (+ n0_i (* -1 n1_i))) (* 1/36 (/ (+ n1_i (* 2 n0_i)) (pow u 2)))))) u)) (* 1/24 n0_i)) u)) (* 1/120 (+ n0_i (* -1 n1_i))))))
(- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))
(- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* n1_i (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1))))))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))
(- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* n1_i (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1))))))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))
(- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* n1_i (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1))))))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))
(* n1_i (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1))))))
(* n1_i (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* 1/120 u) (+ (* 1/120 (/ (* n0_i (- 1 u)) n1_i)) (+ (* 1/36 (* u (- (pow u 2) 1))) (* 1/36 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))))))
(* n1_i (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* 1/120 u) (+ (* 1/120 (/ (* n0_i (- 1 u)) n1_i)) (+ (* 1/36 (* u (- (pow u 2) 1))) (* 1/36 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))))))
(* n1_i (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* 1/120 u) (+ (* 1/120 (/ (* n0_i (- 1 u)) n1_i)) (+ (* 1/36 (* u (- (pow u 2) 1))) (* 1/36 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))))))
(* -1 (* n1_i (- (* -1/120 (pow u 5)) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u)))))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))) n1_i)) (* -1/120 (pow u 5))) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u)))))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))) n1_i)) (* -1/120 (pow u 5))) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u)))))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))) n1_i)) (* -1/120 (pow u 5))) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u)))))
(+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))))))
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))))) u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))))
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))))) u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))))
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))))) u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))))
(* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))))) u))
(* n0_i (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1))))))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))))) n0_i)))) u))
(* n0_i (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1))))))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))))) n0_i)))) u))
(* n0_i (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1))))))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))))) n0_i)))) u))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* (pow normAngle 2) (+ (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u))))))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))) n0_i)) (* (pow normAngle 2) (+ (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u)))))))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))) n0_i)) (* (pow normAngle 2) (+ (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u)))))))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))) n0_i)) (* (pow normAngle 2) (+ (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u)))))))))))
n0_i
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i))))))))))))
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i)))))))))))))
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* -1/12 n0_i) (* 1/36 (+ n1_i (* -1 n0_i)))))))))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i)))))))))))))
(* 1/120 (* (pow normAngle 4) (* (pow u 5) (+ n1_i (* -1 n0_i)))))
(* (pow u 5) (+ (* 1/120 (* (pow normAngle 4) (+ n1_i (* -1 n0_i)))) (* 1/24 (/ (* n0_i (pow normAngle 4)) u))))
(* (pow u 5) (+ (* 1/120 (* (pow normAngle 4) (+ n1_i (* -1 n0_i)))) (+ (* 1/24 (/ (* n0_i (pow normAngle 4)) u)) (/ (* (pow normAngle 2) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* -1/12 n0_i) (* 1/36 (+ n1_i (* -1 n0_i))))))) (pow u 2)))))
(* (pow u 5) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) (pow u 3))) (+ (* 1/120 (* (pow normAngle 4) (+ n1_i (* -1 n0_i)))) (+ (* 1/24 (/ (* n0_i (pow normAngle 4)) u)) (/ (* (pow normAngle 2) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* -1/12 n0_i) (* 1/36 (+ n1_i (* -1 n0_i))))))) (pow u 2))))))
(* -1/120 (* (pow normAngle 4) (* (pow u 5) (+ n0_i (* -1 n1_i)))))
(* -1 (* (pow u 5) (+ (* -1/24 (/ (* n0_i (pow normAngle 4)) u)) (* 1/120 (* (pow normAngle 4) (+ n0_i (* -1 n1_i)))))))
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* (pow normAngle 2) (- (* 1/12 n0_i) (* 1/36 (+ n0_i (* -1 n1_i))))))) u)) (* 1/24 (* n0_i (pow normAngle 4)))) u)) (* 1/120 (* (pow normAngle 4) (+ n0_i (* -1 n1_i)))))))
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* (pow normAngle 2) (- (* 1/12 n0_i) (* 1/36 (+ n0_i (* -1 n1_i)))))))) u)) (* 1/24 (* n0_i (pow normAngle 4)))) u)) (* 1/120 (* (pow normAngle 4) (+ n0_i (* -1 n1_i)))))))
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* -1/6 (* (pow normAngle 2) (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))))) (+ (* n0_i (- 1 u)) (* n1_i u)))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* (pow normAngle 2) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))))))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* (pow normAngle 2) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))))))))))
(* (pow normAngle 4) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))))))
(* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))))))
(* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))))))
(* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))))))
(* (pow normAngle 4) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))))))
(* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))))))
(* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))))))
(* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))))))))
(* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1))))))))))
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))))) n1_i)))))
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))))) n1_i)))))
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))))) n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (* (pow normAngle 2) (+ (* 1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* -1/120 (pow u 5)) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u)))))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))))))) n1_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* -1/120 (pow u 5)) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u))))))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))))))) n1_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* -1/120 (pow u 5)) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u))))))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))))))) n1_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* -1/120 (pow u 5)) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 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)))))
(* n1_i (* u (- (pow u 2) 1)))
(+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))
(+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))
(+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(* n0_i (- (+ u (+ (/ (* n1_i (* u (- (pow u 2) 1))) n0_i) (pow (- 1 u) 3))) 1))
(* n0_i (- (+ u (+ (/ (* n1_i (* u (- (pow u 2) 1))) n0_i) (pow (- 1 u) 3))) 1))
(* n0_i (- (+ u (+ (/ (* n1_i (* u (- (pow u 2) 1))) n0_i) (pow (- 1 u) 3))) 1))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(* -1 (* n0_i (+ (* -1 (- (+ u (pow (- 1 u) 3)) 1)) (* -1 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))
(* -1 (* n0_i (+ (* -1 (- (+ u (pow (- 1 u) 3)) 1)) (* -1 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))
(* -1 (* n0_i (+ (* -1 (- (+ u (pow (- 1 u) 3)) 1)) (* -1 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))
(* u (+ (* -2 n0_i) (* -1 n1_i)))
(* u (+ (* -2 n0_i) (+ (* -1 n1_i) (* 3 (* n0_i u)))))
(* u (+ (* -2 n0_i) (+ (* -1 n1_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i))))))))
(* u (+ (* -2 n0_i) (+ (* -1 n1_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i))))))))
(* (pow u 3) (+ n1_i (* -1 n0_i)))
(* (pow u 3) (+ n1_i (+ (* -1 n0_i) (* 3 (/ n0_i u)))))
(* (pow u 3) (+ n1_i (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* -1 (/ n1_i (pow u 2))) (* 3 (/ n0_i u)))))))
(* (pow u 3) (+ n1_i (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* -1 (/ n1_i (pow u 2))) (* 3 (/ n0_i u)))))))
(* -1 (* (pow u 3) (+ n0_i (* -1 n1_i))))
(* -1 (* (pow u 3) (+ n0_i (+ (* -3 (/ n0_i u)) (* -1 n1_i)))))
(* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ (* -1 (/ (+ n1_i (* 2 n0_i)) u)) (* 3 n0_i)) u))))))
(* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ (* -1 (/ (+ n1_i (* 2 n0_i)) u)) (* 3 n0_i)) u))))))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))
(+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))
(+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))
(* n1_i (* u (- (pow u 2) 1)))
(* n1_i (+ (* u (- (pow u 2) 1)) (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))
(* n1_i (+ (* u (- (pow u 2) 1)) (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))
(* n1_i (+ (* u (- (pow u 2) 1)) (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))
(* n1_i (* u (- (pow u 2) 1)))
(* -1 (* n1_i (+ (* -1 (* u (- (pow u 2) 1))) (* -1 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))))
(* -1 (* n1_i (+ (* -1 (* u (- (pow u 2) 1))) (* -1 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))))
(* -1 (* n1_i (+ (* -1 (* u (- (pow u 2) 1))) (* -1 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))))
(* 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
(+ 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 (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 (- 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)))
(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 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
(+ 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)))))
1
(+ 1 (* -1 u))
(+ 1 (* -1 u))
(+ 1 (* -1 u))
(* -1 u)
(* u (- (/ 1 u) 1))
(* u (- (/ 1 u) 1))
(* u (- (/ 1 u) 1))
(* -1 u)
(* -1 (* u (- 1 (/ 1 u))))
(* -1 (* u (- 1 (/ 1 u))))
(* -1 (* u (- 1 (/ 1 u))))
1
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(- 1 u)
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u)
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (* n1_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle)))))))))))
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 3) (sin normAngle))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 3) (sin normAngle))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))))
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))
(* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 3) (sin normAngle)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2))))))
(* -1 (* (pow u 3) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 3) (sin normAngle)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2))))))
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2)))))) (* -1/6 (* n0_i (- 1 u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u)))))))
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))
(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))
(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
n0_i
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(* n0_i (- 1 u))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(sin normAngle)
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle)))))))))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (+ 1 (* -1 u))))
(sin (* normAngle (+ 1 (* -1 u))))
(sin (* normAngle (+ 1 (* -1 u))))
(sin (* normAngle (+ 1 (* -1 u))))
(* normAngle (- 1 u))
(* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u))
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u))
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (- 1 u) 7))) (* 1/120 (pow (- 1 u) 5))))))) u))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i 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))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle))))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* u (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* -1 (* u (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle)))) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))
(* -1 (* u (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle)))) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))
(* -1 (* u (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle)))) (* -1 (/ (* n1_i normAngle) (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))) (* -1/6 (* n1_i 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))))) (+ (* -1/36 (* 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))) (* (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))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/36 (* 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)))))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* normAngle (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* normAngle (sin normAngle))) (/ (* n1_i u) (sin normAngle))))
(* normAngle (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* normAngle (sin normAngle))) (/ (* n1_i u) (sin normAngle))))
(* normAngle (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* normAngle (sin normAngle))) (/ (* n1_i u) (sin normAngle))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* -1 (* normAngle (+ (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* normAngle (sin normAngle)))) (* -1 (/ (* n1_i u) (sin normAngle))))))
(* -1 (* normAngle (+ (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* normAngle (sin normAngle)))) (* -1 (/ (* n1_i u) (sin normAngle))))))
(* -1 (* normAngle (+ (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* normAngle (sin normAngle)))) (* -1 (/ (* n1_i u) (sin normAngle))))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (* 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 (* normAngle u)) (* n0_i (sin normAngle)))))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* n1_i (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))) (/ (* normAngle u) (sin normAngle))))
(* n1_i (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))) (/ (* normAngle u) (sin normAngle))))
(* n1_i (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))) (/ (* normAngle u) (sin normAngle))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* -1 (* n1_i (+ (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))) (* -1 (/ (* normAngle u) (sin normAngle))))))
(* -1 (* n1_i (+ (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))) (* -1 (/ (* normAngle u) (sin normAngle))))))
(* -1 (* n1_i (+ (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))) (* -1 (/ (* normAngle u) (sin normAngle))))))
(* -3 u)
(* u (- (* 3 u) 3))
(* u (- (* u (+ 3 (* -1 u))) 3))
(* u (- (* u (+ 3 (* -1 u))) 3))
(* -1 (pow u 3))
(* (pow u 3) (- (* 3 (/ 1 u)) 1))
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2)))))
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2)))))
(* -1 (pow u 3))
(* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u)))))
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u)))))
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u)))))
1
(+ 1 (* -5 u))
(+ 1 (* u (- (* 10 u) 5)))
(+ 1 (* u (- (* u (+ 10 (* -10 u))) 5)))
(* -1 (pow u 5))
(* (pow u 5) (- (* 5 (/ 1 u)) 1))
(* (pow u 5) (- (* 5 (/ 1 u)) (+ 1 (/ 10 (pow u 2)))))
(* (pow u 5) (- (+ (* 5 (/ 1 u)) (* 10 (/ 1 (pow u 3)))) (+ 1 (/ 10 (pow u 2)))))
(* -1 (pow u 5))
(* -1 (* (pow u 5) (- 1 (* 5 (/ 1 u)))))
(* -1 (* (pow u 5) (+ 1 (* -1 (/ (- 5 (* 10 (/ 1 u))) u)))))
(* -1 (* (pow u 5) (+ 1 (* -1 (/ (+ 5 (* -1 (/ (- 10 (* 10 (/ 1 u))) u))) u)))))
(* 1/120 (* n1_i u))
(+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u)))
(+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u)))
(+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u)))
(* 1/120 (* n0_i (- 1 u)))
(* n0_i (+ (* 1/120 (- 1 u)) (* 1/120 (/ (* n1_i u) n0_i))))
(* n0_i (+ (* 1/120 (- 1 u)) (* 1/120 (/ (* n1_i u) n0_i))))
(* n0_i (+ (* 1/120 (- 1 u)) (* 1/120 (/ (* n1_i u) n0_i))))
(* 1/120 (* n0_i (- 1 u)))
(* -1 (* n0_i (+ (* -1/120 (- 1 u)) (* -1/120 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ (* -1/120 (- 1 u)) (* -1/120 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ (* -1/120 (- 1 u)) (* -1/120 (/ (* n1_i u) n0_i)))))
(* 1/120 n0_i)
(+ (* 1/120 n0_i) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))
(+ (* 1/120 n0_i) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))
(+ (* 1/120 n0_i) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))
(* 1/120 (* u (+ n1_i (* -1 n0_i))))
(* u (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/120 (/ n0_i u))))
(* u (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/120 (/ n0_i u))))
(* u (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/120 (/ n0_i u))))
(* -1/120 (* u (+ n0_i (* -1 n1_i))))
(* -1 (* u (+ (* -1/120 (/ n0_i u)) (* 1/120 (+ n0_i (* -1 n1_i))))))
(* -1 (* u (+ (* -1/120 (/ n0_i u)) (* 1/120 (+ n0_i (* -1 n1_i))))))
(* -1 (* u (+ (* -1/120 (/ n0_i u)) (* 1/120 (+ n0_i (* -1 n1_i))))))
(* 1/120 (* n0_i (- 1 u)))
(+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u)))
(+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u)))
(+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u)))
(* 1/120 (* n1_i u))
(* n1_i (+ (* 1/120 u) (* 1/120 (/ (* n0_i (- 1 u)) n1_i))))
(* n1_i (+ (* 1/120 u) (* 1/120 (/ (* n0_i (- 1 u)) n1_i))))
(* n1_i (+ (* 1/120 u) (* 1/120 (/ (* n0_i (- 1 u)) n1_i))))
(* 1/120 (* n1_i u))
(* -1 (* n1_i (+ (* -1/120 u) (* -1/120 (/ (* n0_i (- 1 u)) n1_i)))))
(* -1 (* n1_i (+ (* -1/120 u) (* -1/120 (/ (* n0_i (- 1 u)) n1_i)))))
(* -1 (* n1_i (+ (* -1/120 u) (* -1/120 (/ (* n0_i (- 1 u)) n1_i)))))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i normAngle)
(/ (+ n0_i (* 1/6 (* n0_i (pow normAngle 2)))) normAngle)
(/ (+ n0_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n0_i) (* 1/120 n0_i)))) (* -1/6 n0_i)))) normAngle)
(/ (+ n0_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n0_i) (+ (* 1/720 n0_i) (* 1/6 (+ (* -1/36 n0_i) (* 1/120 n0_i))))))) (+ (* -1/36 n0_i) (* 1/120 n0_i)))) (* -1/6 n0_i)))) normAngle)
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(* 1/6 u)
(* u (+ 1/6 (* -1/6 (pow u 2))))
(* u (+ 1/6 (* -1/6 (pow u 2))))
(* u (+ 1/6 (* -1/6 (pow u 2))))
(* -1/6 (pow u 3))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* -1/6 (pow u 3))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
1/6
(+ 1/6 (* -1/6 (pow u 2)))
(+ 1/6 (* -1/6 (pow u 2)))
(+ 1/6 (* -1/6 (pow u 2)))
(* -1/6 (pow u 2))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* -1/6 (pow u 2))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
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
(- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))
(fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (-.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))))))
(- (+ (* 1/120 (* n1_i (pow u 5))) (* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))
(-.f32 (fma.f32 n0_i (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)) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))))) (fma.f32 #s(literal 1/120 binary32) (*.f32 n1_i u) (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))))
(- (+ (* 1/120 (* n1_i (pow u 5))) (* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))
(-.f32 (fma.f32 n0_i (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)) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))))) (fma.f32 #s(literal 1/120 binary32) (*.f32 n1_i u) (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))))
(- (+ (* 1/120 (* n1_i (pow u 5))) (* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))
(-.f32 (fma.f32 n0_i (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)) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))))) (fma.f32 #s(literal 1/120 binary32) (*.f32 n1_i u) (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))))
(* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))
(*.f32 n0_i (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)) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32))))
(* n0_i (- (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5))) (+ (* 1/120 (- 1 u)) (+ (* 1/120 (/ (* n1_i u) n0_i)) (+ (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/36 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))))
(*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (fma.f32 n1_i (/.f32 (pow.f32 u #s(literal 5 binary32)) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (neg.f32 (fma.f32 #s(literal 1/120 binary32) (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/36 binary32) (fma.f32 n1_i (/.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) n0_i) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))))))))
(* n0_i (- (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5))) (+ (* 1/120 (- 1 u)) (+ (* 1/120 (/ (* n1_i u) n0_i)) (+ (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/36 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))))
(*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (fma.f32 n1_i (/.f32 (pow.f32 u #s(literal 5 binary32)) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (neg.f32 (fma.f32 #s(literal 1/120 binary32) (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/36 binary32) (fma.f32 n1_i (/.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) n0_i) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))))))))
(* n0_i (- (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5))) (+ (* 1/120 (- 1 u)) (+ (* 1/120 (/ (* n1_i u) n0_i)) (+ (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/36 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))))
(*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (fma.f32 n1_i (/.f32 (pow.f32 u #s(literal 5 binary32)) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (neg.f32 (fma.f32 #s(literal 1/120 binary32) (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/36 binary32) (fma.f32 n1_i (/.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) n0_i) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))))))))
(* -1 (* n0_i (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u))))))
(*.f32 (+.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal -1/120 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)) u) #s(literal -1/36 binary32))) (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32))) (neg.f32 n0_i))
(* -1 (* n0_i (- (+ (* -1 (/ (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))) n0_i)) (* -1/120 (pow (- 1 u) 5))) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u))))))
(*.f32 (-.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal -1/120 binary32) (/.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (-.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)))))) (neg.f32 n0_i))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/120 binary32) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32)))) (neg.f32 n0_i))
(* -1 (* n0_i (- (+ (* -1 (/ (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))) n0_i)) (* -1/120 (pow (- 1 u) 5))) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u))))))
(*.f32 (-.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal -1/120 binary32) (/.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (-.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)))))) (neg.f32 n0_i))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/120 binary32) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32)))) (neg.f32 n0_i))
(* -1 (* n0_i (- (+ (* -1 (/ (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))) n0_i)) (* -1/120 (pow (- 1 u) 5))) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u))))))
(*.f32 (-.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal -1/120 binary32) (/.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (-.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)))))) (neg.f32 n0_i))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/120 binary32) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32)))) (neg.f32 n0_i))
(* u (- (* -1/24 n0_i) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i))))))
(*.f32 u (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))))
(* u (- (+ (* -1/24 n0_i) (* (pow u 2) (- (* -1/12 n0_i) (* 1/36 (+ n1_i (* -1 n0_i)))))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i))))))
(*.f32 u (-.f32 (fma.f32 (*.f32 u u) (fma.f32 n0_i #s(literal -1/12 binary32) (*.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i))) (*.f32 n0_i #s(literal -1/24 binary32))) (fma.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))))
(* u (- (+ (* -1/24 n0_i) (* (pow u 2) (- (+ (* -1/12 n0_i) (* 1/24 (* n0_i u))) (* 1/36 (+ n1_i (* -1 n0_i)))))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i))))))
(*.f32 u (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 (*.f32 u u) (fma.f32 n0_i #s(literal -1/12 binary32) (fma.f32 #s(literal 1/24 binary32) (*.f32 u n0_i) (*.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i)))) (neg.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))))))
(* u (- (+ (* -1/24 n0_i) (* (pow u 2) (- (+ (* -1/12 n0_i) (* u (+ (* 1/120 (* u (+ n1_i (* -1 n0_i)))) (* 1/24 n0_i)))) (* 1/36 (+ n1_i (* -1 n0_i)))))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i))))))
(*.f32 u (-.f32 (fma.f32 (*.f32 u u) (fma.f32 n0_i #s(literal -1/12 binary32) (fma.f32 u (fma.f32 #s(literal 1/120 binary32) (*.f32 u (-.f32 n1_i n0_i)) (*.f32 n0_i #s(literal 1/24 binary32))) (*.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i)))) (*.f32 n0_i #s(literal -1/24 binary32))) (fma.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))))
(* 1/120 (* (pow u 5) (+ n1_i (* -1 n0_i))))
(*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (-.f32 n1_i n0_i))
(* (pow u 5) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/24 (/ n0_i u))))
(*.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i) (/.f32 (*.f32 n0_i #s(literal 1/24 binary32)) u)))
(* (pow u 5) (- (+ (* -1/12 (/ n0_i (pow u 2))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/24 (/ n0_i u)))) (* 1/36 (/ (+ n1_i (* -1 n0_i)) (pow u 2)))))
(*.f32 (pow.f32 u #s(literal 5 binary32)) (+.f32 (fma.f32 #s(literal -1/12 binary32) (/.f32 n0_i (*.f32 u u)) (fma.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i) (/.f32 (*.f32 n0_i #s(literal 1/24 binary32)) u))) (/.f32 (*.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i)) (*.f32 u u))))
(* (pow u 5) (- (+ (* -1/12 (/ n0_i (pow u 2))) (+ (* -1/24 (/ n0_i (pow u 4))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/24 (/ n0_i u))))) (+ (* 1/120 (/ (+ n1_i (* -1 n0_i)) (pow u 4))) (+ (* 1/36 (/ (+ n1_i (* -1 n0_i)) (pow u 2))) (* 1/36 (/ (+ (* -2 n0_i) (* -1 n1_i)) (pow u 4)))))))
(*.f32 (pow.f32 u #s(literal 5 binary32)) (-.f32 (fma.f32 #s(literal -1/12 binary32) (/.f32 n0_i (*.f32 u u)) (fma.f32 #s(literal -1/24 binary32) (/.f32 n0_i (pow.f32 u #s(literal 4 binary32))) (fma.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i) (/.f32 (*.f32 n0_i #s(literal 1/24 binary32)) u)))) (fma.f32 #s(literal 1/36 binary32) (+.f32 (/.f32 (-.f32 n1_i n0_i) (*.f32 u u)) (/.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (pow.f32 u #s(literal 4 binary32)))) (/.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (pow.f32 u #s(literal 4 binary32))))))
(* -1/120 (* (pow u 5) (+ n0_i (* -1 n1_i))))
(*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal -1/120 binary32)) (-.f32 n0_i n1_i))
(* -1 (* (pow u 5) (+ (* -1/24 (/ n0_i u)) (* 1/120 (+ n0_i (* -1 n1_i))))))
(*.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 n0_i n1_i) (/.f32 (*.f32 n0_i #s(literal -1/24 binary32)) u)) (neg.f32 (pow.f32 u #s(literal 5 binary32))))
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/12 n0_i) (* 1/36 (+ n0_i (* -1 n1_i)))) u)) (* 1/24 n0_i)) u)) (* 1/120 (+ n0_i (* -1 n1_i))))))
(*.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 n0_i n1_i) (/.f32 (fma.f32 n0_i #s(literal 1/24 binary32) (/.f32 (fma.f32 n0_i #s(literal 1/12 binary32) (*.f32 #s(literal -1/36 binary32) (-.f32 n0_i n1_i))) (neg.f32 u))) (neg.f32 u))) (neg.f32 (pow.f32 u #s(literal 5 binary32))))
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* 1/24 (/ n0_i (pow u 2))) (* 1/12 n0_i)) (+ (* 1/120 (/ (+ n0_i (* -1 n1_i)) (pow u 2))) (+ (* 1/36 (+ n0_i (* -1 n1_i))) (* 1/36 (/ (+ n1_i (* 2 n0_i)) (pow u 2)))))) u)) (* 1/24 n0_i)) u)) (* 1/120 (+ n0_i (* -1 n1_i))))))
(neg.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 #s(literal 1/120 binary32) (-.f32 n0_i n1_i) (/.f32 (fma.f32 n0_i #s(literal 1/24 binary32) (/.f32 (fma.f32 #s(literal 1/24 binary32) (/.f32 n0_i (*.f32 u u)) (fma.f32 n0_i #s(literal 1/12 binary32) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (+.f32 (-.f32 n0_i n1_i) (/.f32 (fma.f32 #s(literal 2 binary32) n0_i n1_i) (*.f32 u u))) (/.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n0_i n1_i)) (*.f32 u u)))))) (neg.f32 u))) (neg.f32 u)))))
(- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))
(fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.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 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)))))
(- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* n1_i (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1))))))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))
(-.f32 (fma.f32 n1_i (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) #s(literal -1/36 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))))) (fma.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 #s(literal 1/36 binary32) n0_i) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)))))
(- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* n1_i (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1))))))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))
(-.f32 (fma.f32 n1_i (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) #s(literal -1/36 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))))) (fma.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 #s(literal 1/36 binary32) n0_i) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)))))
(- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* n1_i (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1))))))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))
(-.f32 (fma.f32 n1_i (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) #s(literal -1/36 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))))) (fma.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 #s(literal 1/36 binary32) n0_i) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)))))
(* n1_i (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1))))))
(*.f32 n1_i (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) #s(literal -1/36 binary32))))
(* n1_i (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* 1/120 u) (+ (* 1/120 (/ (* n0_i (- 1 u)) n1_i)) (+ (* 1/36 (* u (- (pow u 2) 1))) (* 1/36 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))))))
(*.f32 n1_i (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n1_i) (pow.f32 u #s(literal 5 binary32)))) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) (*.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (/.f32 (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))))
(* n1_i (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* 1/120 u) (+ (* 1/120 (/ (* n0_i (- 1 u)) n1_i)) (+ (* 1/36 (* u (- (pow u 2) 1))) (* 1/36 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))))))
(*.f32 n1_i (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n1_i) (pow.f32 u #s(literal 5 binary32)))) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) (*.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (/.f32 (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))))
(* n1_i (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* 1/120 u) (+ (* 1/120 (/ (* n0_i (- 1 u)) n1_i)) (+ (* 1/36 (* u (- (pow u 2) 1))) (* 1/36 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))))))
(*.f32 n1_i (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n1_i) (pow.f32 u #s(literal 5 binary32)))) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) (*.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (/.f32 (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))))
(* -1 (* n1_i (- (* -1/120 (pow u 5)) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u)))))
(*.f32 (neg.f32 n1_i) (+.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal -1/120 binary32) (*.f32 #s(literal 1/36 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 #s(literal 1/120 binary32) u)))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))) n1_i)) (* -1/120 (pow u 5))) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u)))))
(*.f32 (neg.f32 n1_i) (-.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal -1/120 binary32) (/.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.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 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))))) (neg.f32 n1_i))) (fma.f32 u #s(literal -1/120 binary32) (*.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) #s(literal -1/36 binary32)))))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))) n1_i)) (* -1/120 (pow u 5))) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u)))))
(*.f32 (neg.f32 n1_i) (-.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal -1/120 binary32) (/.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.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 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))))) (neg.f32 n1_i))) (fma.f32 u #s(literal -1/120 binary32) (*.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) #s(literal -1/36 binary32)))))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))) n1_i)) (* -1/120 (pow u 5))) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u)))))
(*.f32 (neg.f32 n1_i) (-.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal -1/120 binary32) (/.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.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 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))))) (neg.f32 n1_i))) (fma.f32 u #s(literal -1/120 binary32) (*.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) #s(literal -1/36 binary32)))))
(+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))))))
(fma.f32 n1_i u (*.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (-.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)))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) #s(literal -1/6 binary32)))))
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))))) u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))))
(fma.f32 n0_i (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (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)) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32))) (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) #s(literal 1 binary32)) u) (fma.f32 n1_i u (*.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (-.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)))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) #s(literal -1/6 binary32))))))
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))))) u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))))
(fma.f32 n0_i (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (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)) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32))) (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) #s(literal 1 binary32)) u) (fma.f32 n1_i u (*.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (-.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)))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) #s(literal -1/6 binary32))))))
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))))) u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))))
(fma.f32 n0_i (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (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)) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32))) (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) #s(literal 1 binary32)) u) (fma.f32 n1_i u (*.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (-.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)))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) #s(literal -1/6 binary32))))))
(* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1)))))))) u))
(*.f32 n0_i (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (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)) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32))) (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) #s(literal 1 binary32)) u))
(* n0_i (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1))))))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))))) n0_i)))) u))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (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)) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32))) (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) (fma.f32 n1_i (/.f32 u n0_i) (/.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (-.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)))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) #s(literal -1/6 binary32)))) n0_i))) u)))
(* n0_i (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1))))))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))))) n0_i)))) u))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (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)) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32))) (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) (fma.f32 n1_i (/.f32 u n0_i) (/.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (-.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)))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) #s(literal -1/6 binary32)))) n0_i))) u)))
(* n0_i (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1))))))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))))) n0_i)))) u))
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (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)) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32))) (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) (fma.f32 n1_i (/.f32 u n0_i) (/.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (-.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)))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) #s(literal -1/6 binary32)))) n0_i))) u)))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* (pow normAngle 2) (+ (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u))))))))))
(*.f32 (neg.f32 n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal -1/120 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)) u) #s(literal -1/36 binary32))) (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32))) (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal 1/6 binary32) #s(literal -1/6 binary32))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))) n0_i)) (* (pow normAngle 2) (+ (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u)))))))))))
(*.f32 (neg.f32 n0_i) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal -1/120 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)) u) #s(literal -1/36 binary32))) (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32))) (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal 1/6 binary32) #s(literal -1/6 binary32))) (/.f32 (fma.f32 n1_i u (*.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (-.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)))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) #s(literal -1/6 binary32))))) (neg.f32 n0_i))) (-.f32 #s(literal 1 binary32) u)))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))) n0_i)) (* (pow normAngle 2) (+ (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u)))))))))))
(*.f32 (neg.f32 n0_i) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal -1/120 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)) u) #s(literal -1/36 binary32))) (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32))) (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal 1/6 binary32) #s(literal -1/6 binary32))) (/.f32 (fma.f32 n1_i u (*.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (-.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)))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) #s(literal -1/6 binary32))))) (neg.f32 n0_i))) (-.f32 #s(literal 1 binary32) u)))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))) n0_i)) (* (pow normAngle 2) (+ (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1/36 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/120 (- 1 u)))))))))))
(*.f32 (neg.f32 n0_i) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal -1/120 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)) u) #s(literal -1/36 binary32))) (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32))) (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal 1/6 binary32) #s(literal -1/6 binary32))) (/.f32 (fma.f32 n1_i u (*.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (-.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)))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))) #s(literal -1/6 binary32))))) (neg.f32 n0_i))) (-.f32 #s(literal 1 binary32) u)))
n0_i
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i))))))))))))
(fma.f32 u (+.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (neg.f32 n0_i))) n0_i)
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i)))))))))))))
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i)
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* -1/12 n0_i) (* 1/36 (+ n1_i (* -1 n0_i)))))))))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i)))))))))))))
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 u (*.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32) (*.f32 (fma.f32 n0_i #s(literal -1/12 binary32) (*.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle))) (*.f32 #s(literal -1/2 binary32) n0_i)))))) n0_i)
(* 1/120 (* (pow normAngle 4) (* (pow u 5) (+ n1_i (* -1 n0_i)))))
(*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) (-.f32 n1_i n0_i)) (pow.f32 normAngle #s(literal 4 binary32))))
(* (pow u 5) (+ (* 1/120 (* (pow normAngle 4) (+ n1_i (* -1 n0_i)))) (* 1/24 (/ (* n0_i (pow normAngle 4)) u))))
(*.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 4 binary32))) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/24 binary32) (/.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) u))))
(* (pow u 5) (+ (* 1/120 (* (pow normAngle 4) (+ n1_i (* -1 n0_i)))) (+ (* 1/24 (/ (* n0_i (pow normAngle 4)) u)) (/ (* (pow normAngle 2) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* -1/12 n0_i) (* 1/36 (+ n1_i (* -1 n0_i))))))) (pow u 2)))))
(*.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) (pow.f32 normAngle #s(literal 4 binary32))) (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32) (*.f32 (fma.f32 n0_i #s(literal -1/12 binary32) (*.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle))) (*.f32 u u)) (*.f32 #s(literal 1/24 binary32) (/.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) u)))))
(* (pow u 5) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) (pow u 3))) (+ (* 1/120 (* (pow normAngle 4) (+ n1_i (* -1 n0_i)))) (+ (* 1/24 (/ (* n0_i (pow normAngle 4)) u)) (/ (* (pow normAngle 2) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* -1/12 n0_i) (* 1/36 (+ n1_i (* -1 n0_i))))))) (pow u 2))))))
(*.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 u (*.f32 u u))) (fma.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) (pow.f32 normAngle #s(literal 4 binary32))) (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32) (*.f32 (fma.f32 n0_i #s(literal -1/12 binary32) (*.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle))) (*.f32 u u)) (*.f32 #s(literal 1/24 binary32) (/.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) u))))))
(* -1/120 (* (pow normAngle 4) (* (pow u 5) (+ n0_i (* -1 n1_i)))))
(*.f32 (*.f32 #s(literal -1/120 binary32) (pow.f32 normAngle #s(literal 4 binary32))) (*.f32 (pow.f32 u #s(literal 5 binary32)) (-.f32 n0_i n1_i)))
(* -1 (* (pow u 5) (+ (* -1/24 (/ (* n0_i (pow normAngle 4)) u)) (* 1/120 (* (pow normAngle 4) (+ n0_i (* -1 n1_i)))))))
(neg.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 #s(literal -1/24 binary32) (/.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) u) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 4 binary32))) (-.f32 n0_i n1_i)))))
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* (pow normAngle 2) (- (* 1/12 n0_i) (* 1/36 (+ n0_i (* -1 n1_i))))))) u)) (* 1/24 (* n0_i (pow normAngle 4)))) u)) (* 1/120 (* (pow normAngle 4) (+ n0_i (* -1 n1_i)))))))
(*.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n0_i n1_i) (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (fma.f32 (neg.f32 (*.f32 normAngle normAngle)) (/.f32 (fma.f32 (fma.f32 n0_i #s(literal 1/12 binary32) (*.f32 #s(literal -1/36 binary32) (-.f32 n0_i n1_i))) (*.f32 normAngle normAngle) (*.f32 (-.f32 n0_i n1_i) #s(literal -1/6 binary32))) u) (*.f32 #s(literal 1/24 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))))) (neg.f32 u))) (neg.f32 (pow.f32 u #s(literal 5 binary32))))
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* (pow normAngle 2) (- (* 1/12 n0_i) (* 1/36 (+ n0_i (* -1 n1_i)))))))) u)) (* 1/24 (* n0_i (pow normAngle 4)))) u)) (* 1/120 (* (pow normAngle 4) (+ n0_i (* -1 n1_i)))))))
(*.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n0_i n1_i) (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (fma.f32 #s(literal 1/24 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 n0_i #s(literal 1/12 binary32) (*.f32 #s(literal -1/36 binary32) (-.f32 n0_i n1_i))) (*.f32 normAngle normAngle) (*.f32 (-.f32 n0_i n1_i) #s(literal -1/6 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))) u)) (neg.f32 u))) (neg.f32 u))) (neg.f32 (pow.f32 u #s(literal 5 binary32))))
(+ (* n0_i (- 1 u)) (* n1_i u))
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(+ (* -1/6 (* (pow normAngle 2) (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))))) (+ (* n0_i (- 1 u)) (* n1_i u)))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* (pow normAngle 2) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))))))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (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 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) (*.f32 n1_i u)))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* (pow normAngle 2) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))))))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (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 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))) (*.f32 n1_i u)))
(* (pow normAngle 4) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (-.f32 (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 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))))
(* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 normAngle normAngle)) (fma.f32 #s(literal 1/120 binary32) (-.f32 (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 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))))))
(* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 normAngle normAngle)) (-.f32 (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 n1_i (/.f32 u (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (pow.f32 normAngle #s(literal 4 binary32))))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))))
(* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 normAngle normAngle)) (-.f32 (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 n1_i (/.f32 u (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (pow.f32 normAngle #s(literal 4 binary32))))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))))
(* (pow normAngle 4) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (-.f32 (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 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))))
(* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 normAngle normAngle)) (fma.f32 #s(literal 1/120 binary32) (-.f32 (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 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))))))
(* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 normAngle normAngle)) (-.f32 (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 n1_i (/.f32 u (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (pow.f32 normAngle #s(literal 4 binary32))))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))))
(* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 normAngle normAngle)) (-.f32 (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 n1_i (/.f32 u (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (pow.f32 normAngle #s(literal 4 binary32))))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.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 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))) #s(literal -1/6 binary32))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.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 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))) #s(literal -1/6 binary32))) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) #s(literal -1/36 binary32))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) u) (fma.f32 u u #s(literal -1 binary32)))) u))))
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.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 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))) #s(literal -1/6 binary32))) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) #s(literal -1/36 binary32))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) u) (fma.f32 u u #s(literal -1 binary32)))) u))))
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.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 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))) #s(literal -1/6 binary32))) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 (*.f32 u (fma.f32 u u #s(literal -1 binary32))) #s(literal -1/36 binary32))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) u) (fma.f32 u u #s(literal -1 binary32)))) u))))
(* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1))))))))))
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(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))))) n1_i)))))
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(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))))) n1_i)))))
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(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))))))) n1_i)))))
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(* -1 (* n1_i (+ (* -1 u) (* (pow normAngle 2) (+ (* 1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* -1/120 (pow u 5)) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u)))))))))
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(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))))))) n1_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* -1/120 (pow u 5)) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u))))))))))
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(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))))))) n1_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* -1/120 (pow u 5)) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u))))))))))
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(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))))))))) n1_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* -1/120 (pow u 5)) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u))))))))))
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n0_i
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(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(*.f32 (neg.f32 n1_i) (neg.f32 (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (fma.f32 (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) u))))
n0_i
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle)) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))
(fma.f32 u (fma.f32 n0_i (neg.f32 (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle 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 #s(literal 1/6 binary32) (/.f32 (*.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)))) (neg.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) n0_i)
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(* n0_i (- 1 u))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+ (* 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 #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)) (-.f32 #s(literal 0 binary32) (-.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 #s(literal -1/6 binary32) (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (*.f32 #s(literal 1/6 binary32) (*.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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))))))) (*.f32 #s(literal -1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 1/6 binary32)))) (*.f32 n0_i (-.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))) (* (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 #s(literal -1/6 binary32) (*.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (*.f32 #s(literal 1/6 binary32) (*.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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))))))) (*.f32 #s(literal -1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (fma.f32 #s(literal 1/120 binary32) (*.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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))))) (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal -1/5040 binary32)))))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (*.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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))) (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 1/6 binary32)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
(sin normAngle)
(sin.f32 normAngle)
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))
(fma.f32 normAngle (neg.f32 (*.f32 u (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 (cos.f32 normAngle) (neg.f32 normAngle) (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)) (*.f32 u (sin.f32 normAngle)))) (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 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)) (sin.f32 normAngle) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 u (cos.f32 normAngle)))) (neg.f32 (*.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(sin (* normAngle (+ 1 (* -1 u))))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(sin (* normAngle (+ 1 (* -1 u))))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(sin (* normAngle (+ 1 (* -1 u))))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(sin (* normAngle (+ 1 (* -1 u))))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(* normAngle (- 1 u))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u))
(*.f32 normAngle (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u))
(*.f32 normAngle (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 normAngle normAngle)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) #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 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 normAngle normAngle)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)))))) #s(literal 1 binary32)) u))
(sin (* normAngle (- 1 u)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (neg.f32 (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (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 (neg.f32 (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle))) (/.f32 (*.f32 n1_i 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))))) (/ (* n1_i normAngle) (sin normAngle))))))
(fma.f32 u (fma.f32 n0_i (neg.f32 (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) (fma.f32 u (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 normAngle normAngle))) (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))) n0_i)
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(* u (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 u (sin.f32 normAngle))))))
(* u (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 u (sin.f32 normAngle))))))
(* u (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 u (sin.f32 normAngle))))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(* -1 (* u (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle)))) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))
(*.f32 (neg.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 u (sin.f32 normAngle)))))) (neg.f32 u))
(* -1 (* u (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle)))) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))
(*.f32 (neg.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 u (sin.f32 normAngle)))))) (neg.f32 u))
(* -1 (* u (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle)))) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))
(*.f32 (neg.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 u (sin.f32 normAngle)))))) (neg.f32 u))
(+ (* n0_i (- 1 u)) (* n1_i u))
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
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(* -1 (* n0_i (+ (* -1/120 (- 1 u)) (* -1/120 (/ (* n1_i u) n0_i)))))
(-.f32 #s(literal 0 binary32) (*.f32 n0_i (*.f32 #s(literal -1/120 binary32) (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)))))
(* -1 (* n0_i (+ (* -1/120 (- 1 u)) (* -1/120 (/ (* n1_i u) n0_i)))))
(-.f32 #s(literal 0 binary32) (*.f32 n0_i (*.f32 #s(literal -1/120 binary32) (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)))))
(* 1/120 n0_i)
(*.f32 #s(literal 1/120 binary32) n0_i)
(+ (* 1/120 n0_i) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))
(*.f32 #s(literal 1/120 binary32) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(+ (* 1/120 n0_i) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))
(*.f32 #s(literal 1/120 binary32) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(+ (* 1/120 n0_i) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))
(*.f32 #s(literal 1/120 binary32) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(* 1/120 (* u (+ n1_i (* -1 n0_i))))
(*.f32 #s(literal 1/120 binary32) (*.f32 u (-.f32 n1_i n0_i)))
(* u (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/120 (/ n0_i u))))
(*.f32 u (*.f32 #s(literal 1/120 binary32) (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i))))
(* u (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/120 (/ n0_i u))))
(*.f32 u (*.f32 #s(literal 1/120 binary32) (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i))))
(* u (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/120 (/ n0_i u))))
(*.f32 u (*.f32 #s(literal 1/120 binary32) (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i))))
(* -1/120 (* u (+ n0_i (* -1 n1_i))))
(*.f32 #s(literal -1/120 binary32) (*.f32 u (-.f32 n0_i n1_i)))
(* -1 (* u (+ (* -1/120 (/ n0_i u)) (* 1/120 (+ n0_i (* -1 n1_i))))))
(*.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 n0_i n1_i) (*.f32 #s(literal -1/120 binary32) (/.f32 n0_i u))) (neg.f32 u))
(* -1 (* u (+ (* -1/120 (/ n0_i u)) (* 1/120 (+ n0_i (* -1 n1_i))))))
(*.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 n0_i n1_i) (*.f32 #s(literal -1/120 binary32) (/.f32 n0_i u))) (neg.f32 u))
(* -1 (* u (+ (* -1/120 (/ n0_i u)) (* 1/120 (+ n0_i (* -1 n1_i))))))
(*.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 n0_i n1_i) (*.f32 #s(literal -1/120 binary32) (/.f32 n0_i u))) (neg.f32 u))
(* 1/120 (* n0_i (- 1 u)))
(*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u)))
(*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u)))
(*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u)))
(*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(* 1/120 (* n1_i u))
(*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))
(* n1_i (+ (* 1/120 u) (* 1/120 (/ (* n0_i (- 1 u)) n1_i))))
(*.f32 n1_i (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)))
(* n1_i (+ (* 1/120 u) (* 1/120 (/ (* n0_i (- 1 u)) n1_i))))
(*.f32 n1_i (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)))
(* n1_i (+ (* 1/120 u) (* 1/120 (/ (* n0_i (- 1 u)) n1_i))))
(*.f32 n1_i (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)))
(* 1/120 (* n1_i u))
(*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))
(* -1 (* n1_i (+ (* -1/120 u) (* -1/120 (/ (* n0_i (- 1 u)) n1_i)))))
(*.f32 (neg.f32 n1_i) (*.f32 #s(literal -1/120 binary32) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)))
(* -1 (* n1_i (+ (* -1/120 u) (* -1/120 (/ (* n0_i (- 1 u)) n1_i)))))
(*.f32 (neg.f32 n1_i) (*.f32 #s(literal -1/120 binary32) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)))
(* -1 (* n1_i (+ (* -1/120 u) (* -1/120 (/ (* n0_i (- 1 u)) n1_i)))))
(*.f32 (neg.f32 n1_i) (*.f32 #s(literal -1/120 binary32) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i normAngle)
(/.f32 n0_i normAngle)
(/ (+ n0_i (* 1/6 (* n0_i (pow normAngle 2)))) normAngle)
(/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)) n0_i) normAngle)
(/ (+ n0_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n0_i) (* 1/120 n0_i)))) (* -1/6 n0_i)))) normAngle)
(/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 7/360 binary32)) (*.f32 n0_i #s(literal 1/6 binary32))) n0_i) normAngle)
(/ (+ n0_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n0_i) (+ (* 1/720 n0_i) (* 1/6 (+ (* -1/36 n0_i) (* 1/120 n0_i))))))) (+ (* -1/36 n0_i) (* 1/120 n0_i)))) (* -1/6 n0_i)))) normAngle)
(/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (neg.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/840 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i #s(literal -7/360 binary32)))) (*.f32 n0_i #s(literal -7/360 binary32)))) (*.f32 n0_i #s(literal 1/6 binary32))) n0_i) normAngle)
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(* 1/6 u)
(*.f32 u #s(literal 1/6 binary32))
(* u (+ 1/6 (* -1/6 (pow u 2))))
(*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))
(* u (+ 1/6 (* -1/6 (pow u 2))))
(*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))
(* u (+ 1/6 (* -1/6 (pow u 2))))
(*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))
(* -1/6 (pow u 3))
(*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 u u)))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) #s(literal -1/6 binary32)))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) #s(literal -1/6 binary32)))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) #s(literal -1/6 binary32)))
(* -1/6 (pow u 3))
(*.f32 #s(literal -1/6 binary32) (*.f32 u (*.f32 u u)))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(*.f32 (neg.f32 (*.f32 u (*.f32 u u))) (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 u u))))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(*.f32 (neg.f32 (*.f32 u (*.f32 u u))) (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 u u))))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(*.f32 (neg.f32 (*.f32 u (*.f32 u u))) (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/6 binary32) (*.f32 u u))))
1/6
#s(literal 1/6 binary32)
(+ 1/6 (* -1/6 (pow u 2)))
(fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))
(+ 1/6 (* -1/6 (pow u 2)))
(fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))
(+ 1/6 (* -1/6 (pow u 2)))
(fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))
(* -1/6 (pow u 2))
(*.f32 (*.f32 u u) #s(literal -1/6 binary32))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) #s(literal -1/6 binary32)))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) #s(literal -1/6 binary32)))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) #s(literal -1/6 binary32)))
(* -1/6 (pow u 2))
(*.f32 (*.f32 u u) #s(literal -1/6 binary32))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) #s(literal -1/6 binary32)))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) #s(literal -1/6 binary32)))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(*.f32 (*.f32 u u) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) #s(literal -1/6 binary32)))
normAngle
(+ normAngle (* -1 (* normAngle u)))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(+ normAngle (* -1 (* normAngle u)))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(+ normAngle (* -1 (* normAngle u)))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(* -1 (* normAngle u))
(-.f32 #s(literal 0 binary32) (*.f32 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))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(* -1 (* normAngle u))
(-.f32 #s(literal 0 binary32) (*.f32 u normAngle))
(* -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))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(* normAngle (- 1 u))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(* normAngle (- 1 u))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(* normAngle (- 1 u))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(* normAngle (- 1 u))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(* normAngle (- 1 u))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(* normAngle (- 1 u))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(* normAngle (- 1 u))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(* normAngle (- 1 u))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(* normAngle (- 1 u))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(* normAngle (- 1 u))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(* normAngle (- 1 u))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)

eval417.0ms (2.3%)

Memory
17.7MiB live, 918.9MiB allocated
Compiler

Compiled 227 432 to 6 821 computations (97% saved)

prune328.0ms (1.8%)

Memory
-21.2MiB live, 615.8MiB allocated
Pruning

30 alts after pruning (28 fresh and 2 done)

PrunedKeptTotal
New1 903261 929
Fresh10212
Picked325
Done000
Total1 916301 946
Accuracy
100.0%
Counts
1 946 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(fma.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) u) n1_i (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))))
97.7%
(fma.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))))
99.0%
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle))))
98.8%
(fma.f32 u (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)))) n0_i)
99.1%
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i)
99.0%
(fma.f32 u (+.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (neg.f32 n0_i))) n0_i)
97.5%
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
99.0%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 (*.f32 u u) (fma.f32 n0_i #s(literal -1/12 binary32) (fma.f32 #s(literal 1/24 binary32) (*.f32 u n0_i) (*.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i)))) (neg.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))))))))) (*.f32 u n1_i)))
99.1%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (-.f32 (fma.f32 (*.f32 u u) (fma.f32 n0_i #s(literal -1/12 binary32) (fma.f32 u (fma.f32 #s(literal 1/120 binary32) (*.f32 u (-.f32 n1_i n0_i)) (*.f32 n0_i #s(literal 1/24 binary32))) (*.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i)))) (*.f32 n0_i #s(literal -1/24 binary32))) (fma.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))))))) (*.f32 u n1_i)))
99.0%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))))) (*.f32 u n1_i)))
98.8%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (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)) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32)))))) (*.f32 u n1_i)))
98.7%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i u))))))
60.9%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle 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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))))))
97.4%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
98.8%
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
32.1%
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
99.0%
(+.f32 (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32) (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (*.f32 #s(literal 1/6 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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))))) (fma.f32 #s(literal -1/120 binary32) (neg.f32 u) #s(literal -1/120 binary32))) (fma.f32 #s(literal 1/6 binary32) (neg.f32 u) #s(literal 1/6 binary32)))) #s(literal 1 binary32)) u) n0_i) (*.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i))
98.9%
(+.f32 (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (*.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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal 1 binary32)) u) n0_i) (*.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i))
98.2%
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) 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))
98.3%
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u) n1_i))
80.2%
(+.f32 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))
80.5%
(+.f32 n0_i (*.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i))
77.4%
(*.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 (*.f32 u (*.f32 u u)) (sin.f32 normAngle))) (fma.f32 n1_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)) (*.f32 u u)) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))))) (neg.f32 (*.f32 u (*.f32 u u))))
62.6%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
35.6%
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))))
60.7%
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (neg.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/840 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i #s(literal -7/360 binary32)))) (*.f32 n0_i #s(literal -7/360 binary32)))) (*.f32 n0_i #s(literal 1/6 binary32))) n0_i) normAngle))
60.7%
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
35.9%
(*.f32 n1_i (fma.f32 (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) u))
60.7%
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
46.7%
n0_i
Compiler

Compiled 2 072 to 1 117 computations (46.1% saved)

simplify427.0ms (2.3%)

Memory
27.6MiB live, 748.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f32 #s(literal 1 binary32) u)
cost-diff32
(fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))
cost-diff64
(+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u)
cost-diff160
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (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)) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32)))))) (*.f32 u n1_i)))
cost-diff96
(*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))
cost-diff96
(fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i)))
cost-diff160
(+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))
cost-diff160
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))))) (*.f32 u n1_i)))
cost-diff0
(-.f32 #s(literal 1 binary32) u)
cost-diff64
(fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))
cost-diff96
(-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))
cost-diff160
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle 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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))))))
cost-diff0
(-.f32 #s(literal 1 binary32) u)
cost-diff0
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
cost-diff96
(*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))
cost-diff96
(fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i)))
cost-diff160
(+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))
cost-diff320
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))
Rules
13 864×accelerator-lowering-fma.f32
13 864×accelerator-lowering-fma.f64
5 198×*-lowering-*.f32
5 198×*-lowering-*.f64
3 272×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0761078
12611066
210331036
35508986
08290903
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* u (+ (- n1_i n0_i) (+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle))))))) n0_i)
u
(+ (- n1_i n0_i) (+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle))))))
(- n1_i n0_i)
n1_i
n0_i
(+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle)))))
(* normAngle normAngle)
normAngle
(+ (* (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))
(+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i))))
(+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i)))
-1/24
(* -1/120 (- n1_i n0_i))
-1/120
(* -1/36 (+ (* n0_i -2) (neg n1_i)))
-1/36
(+ (* n0_i -2) (neg n1_i))
-2
(neg n1_i)
(* (+ (* n0_i -2) (neg n1_i)) -1/6)
-1/6
(* -1/2 (* n0_i (* u (* normAngle normAngle))))
-1/2
(* n0_i (* u (* normAngle normAngle)))
(* u (* normAngle normAngle))
(* n0_i (- 1 u))
n0_i
(- 1 u)
1
u
(+ (* n0_i (- 1 u)) (* (* normAngle normAngle) (* -1/6 (* n0_i (+ (* (- 1 u) (* (- 1 u) (- 1 u))) (- 0 (- 1 u)))))))
n0_i
(- 1 u)
1
u
(* (* normAngle normAngle) (* -1/6 (* n0_i (+ (* (- 1 u) (* (- 1 u) (- 1 u))) (- 0 (- 1 u))))))
(* normAngle normAngle)
normAngle
(* -1/6 (* n0_i (+ (* (- 1 u) (* (- 1 u) (- 1 u))) (- 0 (- 1 u)))))
-1/6
(* n0_i (+ (* (- 1 u) (* (- 1 u) (- 1 u))) (- 0 (- 1 u))))
(+ (* (- 1 u) (* (- 1 u) (- 1 u))) (- 0 (- 1 u)))
(* (- 1 u) (- 1 u))
(- 0 (- 1 u))
0
(+ (* n0_i (- 1 u)) (+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* u (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))))))) (* u n1_i)))
n0_i
(- 1 u)
1
u
(+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* u (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))))))) (* u n1_i))
(* normAngle normAngle)
normAngle
(+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* u (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))))))
-1/6
(+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))
(+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)
(+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1)
(* (- 1 u) (- 1 u))
-1
(* n1_i (* u (+ (* u u) -1)))
n1_i
(* u (+ (* u u) -1))
(+ (* u u) -1)
(* (* normAngle normAngle) (* u (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i))))))
(* u (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))))
(+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i))))
(+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i)))
-1/24
(* -1/120 (- n1_i n0_i))
-1/120
(- n1_i n0_i)
(* -1/36 (+ (* n0_i -2) (neg n1_i)))
-1/36
(+ (* n0_i -2) (neg n1_i))
-2
(neg n1_i)
(* u n1_i)
(+ (* n0_i (- 1 u)) (+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* n0_i (+ (* 1/120 (- (pow (- 1 u) 5) (- 1 u))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))))) (* u n1_i)))
n0_i
(- 1 u)
1
u
(+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* n0_i (+ (* 1/120 (- (pow (- 1 u) 5) (- 1 u))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))))) (* u n1_i))
(* normAngle normAngle)
normAngle
(+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* n0_i (+ (* 1/120 (- (pow (- 1 u) 5) (- 1 u))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))))
-1/6
(+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))
(+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)
(+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1)
(* (- 1 u) (- 1 u))
-1
(* n1_i (* u (+ (* u u) -1)))
n1_i
(* u (+ (* u u) -1))
(+ (* u u) -1)
(* (* normAngle normAngle) (* n0_i (+ (* 1/120 (- (pow (- 1 u) 5) (- 1 u))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36))))
(* n0_i (+ (* 1/120 (- (pow (- 1 u) 5) (- 1 u))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))
(+ (* 1/120 (- (pow (- 1 u) 5) (- 1 u))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36))
1/120
(- (pow (- 1 u) 5) (- 1 u))
(pow (- 1 u) 5)
5
(+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)
(+ (* (- 1 u) (* (- 1 u) (- 1 u))) u)
-1/36
1/36
(* u n1_i)
Outputs
(+ (* u (+ (- n1_i n0_i) (+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle))))))) n0_i)
(fma.f32 u (fma.f32 normAngle (*.f32 normAngle (fma.f32 u (*.f32 n0_i #s(literal -1/2 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32) (fma.f32 n0_i #s(literal 1/72 binary32) (*.f32 n1_i #s(literal 1/36 binary32)))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))))) (-.f32 n1_i n0_i)) n0_i)
u
(+ (- n1_i n0_i) (+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle))))))
(fma.f32 normAngle (*.f32 normAngle (fma.f32 u (*.f32 n0_i #s(literal -1/2 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32) (fma.f32 n0_i #s(literal 1/72 binary32) (*.f32 n1_i #s(literal 1/36 binary32)))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))))) (-.f32 n1_i n0_i))
(- n1_i n0_i)
(-.f32 n1_i n0_i)
n1_i
n0_i
(+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle)))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 u (*.f32 n0_i #s(literal -1/2 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32) (fma.f32 n0_i #s(literal 1/72 binary32) (*.f32 n1_i #s(literal 1/36 binary32)))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))))
(* normAngle normAngle)
(*.f32 normAngle normAngle)
normAngle
(+ (* (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32) (fma.f32 n0_i #s(literal 1/72 binary32) (*.f32 n1_i #s(literal 1/36 binary32)))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))
(+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i))))
(fma.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32) (fma.f32 n0_i #s(literal 1/72 binary32) (*.f32 n1_i #s(literal 1/36 binary32))))
(+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i)))
(fma.f32 n1_i #s(literal -1/120 binary32) (*.f32 n0_i #s(literal -1/30 binary32)))
-1/24
#s(literal -1/24 binary32)
(* -1/120 (- n1_i n0_i))
(*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))
-1/120
#s(literal -1/120 binary32)
(* -1/36 (+ (* n0_i -2) (neg n1_i)))
(fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n1_i #s(literal 1/36 binary32)))
-1/36
#s(literal -1/36 binary32)
(+ (* n0_i -2) (neg n1_i))
(-.f32 (fma.f32 n0_i #s(literal -2 binary32) #s(literal 0 binary32)) n1_i)
-2
#s(literal -2 binary32)
(neg n1_i)
(neg.f32 n1_i)
(* (+ (* n0_i -2) (neg n1_i)) -1/6)
(fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))
-1/6
#s(literal -1/6 binary32)
(* -1/2 (* n0_i (* u (* normAngle normAngle))))
(*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 u (*.f32 normAngle normAngle))))
-1/2
#s(literal -1/2 binary32)
(* n0_i (* u (* normAngle normAngle)))
(*.f32 u (*.f32 n0_i (*.f32 normAngle normAngle)))
(* u (* normAngle normAngle))
(*.f32 u (*.f32 normAngle normAngle))
(* n0_i (- 1 u))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
n0_i
(- 1 u)
(-.f32 #s(literal 1 binary32) u)
1
#s(literal 1 binary32)
u
(+ (* n0_i (- 1 u)) (* (* normAngle normAngle) (* -1/6 (* n0_i (+ (* (- 1 u) (* (- 1 u) (- 1 u))) (- 0 (- 1 u)))))))
(*.f32 n0_i (fma.f32 normAngle (*.f32 (*.f32 normAngle #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) #s(literal 0 binary32))) (-.f32 #s(literal 1 binary32) u)))
n0_i
(- 1 u)
(-.f32 #s(literal 1 binary32) u)
1
#s(literal 1 binary32)
u
(* (* normAngle normAngle) (* -1/6 (* n0_i (+ (* (- 1 u) (* (- 1 u) (- 1 u))) (- 0 (- 1 u))))))
(*.f32 n0_i (*.f32 normAngle (*.f32 (*.f32 normAngle #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) #s(literal 0 binary32)))))
(* normAngle normAngle)
(*.f32 normAngle normAngle)
normAngle
(* -1/6 (* n0_i (+ (* (- 1 u) (* (- 1 u) (- 1 u))) (- 0 (- 1 u)))))
(*.f32 n0_i (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) #s(literal 0 binary32))))
-1/6
#s(literal -1/6 binary32)
(* n0_i (+ (* (- 1 u) (* (- 1 u) (- 1 u))) (- 0 (- 1 u))))
(*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) #s(literal 0 binary32)))
(+ (* (- 1 u) (* (- 1 u) (- 1 u))) (- 0 (- 1 u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) #s(literal 0 binary32))
(* (- 1 u) (- 1 u))
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))
(- 0 (- 1 u))
(+.f32 u #s(literal -1 binary32))
0
#s(literal 0 binary32)
(+ (* n0_i (- 1 u)) (+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* u (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))))))) (* u n1_i)))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32) (fma.f32 n0_i #s(literal 1/72 binary32) (*.f32 n1_i #s(literal 1/36 binary32)))) (*.f32 (fma.f32 u u #s(literal -1 binary32)) (*.f32 n1_i #s(literal -1/6 binary32)))) (*.f32 n0_i (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) #s(literal 0 binary32))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
n0_i
(- 1 u)
(-.f32 #s(literal 1 binary32) u)
1
#s(literal 1 binary32)
u
(+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* u (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))))))) (* u n1_i))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32) (fma.f32 n0_i #s(literal 1/72 binary32) (*.f32 n1_i #s(literal 1/36 binary32)))) (*.f32 (fma.f32 u u #s(literal -1 binary32)) (*.f32 n1_i #s(literal -1/6 binary32)))) (*.f32 n0_i (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) #s(literal 0 binary32))))) (*.f32 u n1_i))
(* normAngle normAngle)
(*.f32 normAngle normAngle)
normAngle
(+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* u (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))))))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32) (fma.f32 n0_i #s(literal 1/72 binary32) (*.f32 n1_i #s(literal 1/36 binary32)))) (*.f32 (fma.f32 u u #s(literal -1 binary32)) (*.f32 n1_i #s(literal -1/6 binary32)))) (*.f32 n0_i (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) #s(literal 0 binary32)))))
-1/6
#s(literal -1/6 binary32)
(+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))
(fma.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (fma.f32 (fma.f32 u u #s(literal -1 binary32)) (*.f32 u n1_i) #s(literal 0 binary32)))
(+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)
(fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) #s(literal 0 binary32))
(+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1)
(fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))
(* (- 1 u) (- 1 u))
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))
-1
#s(literal -1 binary32)
(* n1_i (* u (+ (* u u) -1)))
(fma.f32 (fma.f32 u u #s(literal -1 binary32)) (*.f32 u n1_i) #s(literal 0 binary32))
n1_i
(* u (+ (* u u) -1))
(fma.f32 u (fma.f32 u u #s(literal -1 binary32)) #s(literal 0 binary32))
(+ (* u u) -1)
(fma.f32 u u #s(literal -1 binary32))
(* (* normAngle normAngle) (* u (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i))))))
(*.f32 u (*.f32 (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32) (fma.f32 n0_i #s(literal 1/72 binary32) (*.f32 n1_i #s(literal 1/36 binary32))))))
(* u (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))))
(*.f32 u (fma.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32) (fma.f32 n0_i #s(literal 1/72 binary32) (*.f32 n1_i #s(literal 1/36 binary32)))))
(+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i))))
(fma.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32) (fma.f32 n0_i #s(literal 1/72 binary32) (*.f32 n1_i #s(literal 1/36 binary32))))
(+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i)))
(fma.f32 n1_i #s(literal -1/120 binary32) (*.f32 n0_i #s(literal -1/30 binary32)))
-1/24
#s(literal -1/24 binary32)
(* -1/120 (- n1_i n0_i))
(*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))
-1/120
#s(literal -1/120 binary32)
(- n1_i n0_i)
(-.f32 n1_i n0_i)
(* -1/36 (+ (* n0_i -2) (neg n1_i)))
(fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n1_i #s(literal 1/36 binary32)))
-1/36
#s(literal -1/36 binary32)
(+ (* n0_i -2) (neg n1_i))
(-.f32 (fma.f32 n0_i #s(literal -2 binary32) #s(literal 0 binary32)) n1_i)
-2
#s(literal -2 binary32)
(neg n1_i)
(neg.f32 n1_i)
(* u n1_i)
(*.f32 u n1_i)
(+ (* n0_i (- 1 u)) (+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* n0_i (+ (* 1/120 (- (pow (- 1 u) 5) (- 1 u))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))))) (* u n1_i)))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (+.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) #s(literal 1/36 binary32))) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) #s(literal 0 binary32)))) (*.f32 u (*.f32 n1_i (*.f32 #s(literal -1/6 binary32) (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
n0_i
(- 1 u)
(-.f32 #s(literal 1 binary32) u)
1
#s(literal 1 binary32)
u
(+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* n0_i (+ (* 1/120 (- (pow (- 1 u) 5) (- 1 u))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))))) (* u n1_i))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (+.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) #s(literal 1/36 binary32))) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) #s(literal 0 binary32)))) (*.f32 u (*.f32 n1_i (*.f32 #s(literal -1/6 binary32) (fma.f32 u u #s(literal -1 binary32)))))) (*.f32 u n1_i))
(* normAngle normAngle)
(*.f32 normAngle normAngle)
normAngle
(+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* n0_i (+ (* 1/120 (- (pow (- 1 u) 5) (- 1 u))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))))
(fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (+.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) #s(literal 1/36 binary32))) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) #s(literal 0 binary32)))) (*.f32 u (*.f32 n1_i (*.f32 #s(literal -1/6 binary32) (fma.f32 u u #s(literal -1 binary32))))))
-1/6
#s(literal -1/6 binary32)
(+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))
(fma.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (fma.f32 (fma.f32 u u #s(literal -1 binary32)) (*.f32 u n1_i) #s(literal 0 binary32)))
(+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)
(fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) #s(literal 0 binary32))
(+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1)
(fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))
(* (- 1 u) (- 1 u))
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))
-1
#s(literal -1 binary32)
(* n1_i (* u (+ (* u u) -1)))
(fma.f32 (fma.f32 u u #s(literal -1 binary32)) (*.f32 u n1_i) #s(literal 0 binary32))
n1_i
(* u (+ (* u u) -1))
(fma.f32 u (fma.f32 u u #s(literal -1 binary32)) #s(literal 0 binary32))
(+ (* u u) -1)
(fma.f32 u u #s(literal -1 binary32))
(* (* normAngle normAngle) (* n0_i (+ (* 1/120 (- (pow (- 1 u) 5) (- 1 u))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36))))
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (+.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) #s(literal 1/36 binary32)))))
(* n0_i (+ (* 1/120 (- (pow (- 1 u) 5) (- 1 u))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))
(*.f32 n0_i (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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (+.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) #s(literal 1/36 binary32))))
(+ (* 1/120 (- (pow (- 1 u) 5) (- 1 u))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36))
(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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (+.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) #s(literal 1/36 binary32)))
1/120
#s(literal 1/120 binary32)
(- (pow (- 1 u) 5) (- 1 u))
(+.f32 u (+.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))))
(pow (- 1 u) 5)
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))
5
#s(literal 5 binary32)
(+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)
(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)) u) #s(literal 1/36 binary32))
(+ (* (- 1 u) (* (- 1 u) (- 1 u))) u)
(fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u)
-1/36
#s(literal -1/36 binary32)
1/36
#s(literal 1/36 binary32)
(* u n1_i)
(*.f32 u n1_i)

localize306.0ms (1.7%)

Memory
18.5MiB live, 764.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy97.2%
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))
accuracy63.1%
(-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u))
accuracy61.7%
(fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))
accuracy60.7%
(fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32))
accuracy98.6%
(+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u)
accuracy98.5%
(+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))
accuracy98.1%
(*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))
accuracy61.7%
(fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))
accuracy99.4%
(*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))))
accuracy98.9%
(*.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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))))
accuracy98.6%
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))
accuracy60.5%
(fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))
accuracy100.0%
(-.f32 #s(literal 1 binary32) u)
accuracy99.5%
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
accuracy99.1%
(fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i)))
accuracy98.9%
(*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))
accuracy98.5%
(+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))
accuracy98.1%
(*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))
Samples
140.0ms255×0valid
1.0ms1valid
Compiler

Compiled 1 148 to 78 computations (93.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 110.0ms
ival-mult: 49.0ms (44.6% of total)
ival-add: 22.0ms (20% of total)
const: 21.0ms (19.1% of total)
ival-sub: 12.0ms (10.9% of total)
ival-pow: 3.0ms (2.7% of total)
exact: 1.0ms (0.9% of total)
ival-neg: 1.0ms (0.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series101.0ms (0.6%)

Memory
-12.7MiB live, 121.2MiB allocated
Counts
22 → 516
Calls
Call 1
Inputs
#<alt (+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle)))))>
#<alt (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i))))>
#<alt (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i)))>
#<alt (* -1/36 (+ (* n0_i -2) (neg n1_i)))>
#<alt (* n0_i (- 1 u))>
#<alt (- 1 u)>
#<alt (+ (* n0_i (- 1 u)) (* (* normAngle normAngle) (* -1/6 (* n0_i (+ (* (- 1 u) (* (- 1 u) (- 1 u))) (- 0 (- 1 u)))))))>
#<alt (- 0 (- 1 u))>
#<alt (+ (* (- 1 u) (* (- 1 u) (- 1 u))) (- 0 (- 1 u)))>
#<alt (+ (* n0_i (- 1 u)) (+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* u (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))))))) (* u n1_i)))>
#<alt (+ (* n0_i (- 1 u)) (+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* n0_i (+ (* 1/120 (- (pow (- 1 u) 5) (- 1 u))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))))) (* u n1_i)))>
#<alt (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)>
#<alt (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))>
#<alt (* -1/120 (- n1_i n0_i))>
#<alt (* (+ (* n0_i -2) (neg n1_i)) -1/6)>
#<alt (* (- 1 u) (- 1 u))>
#<alt (* -1/6 (* n0_i (+ (* (- 1 u) (* (- 1 u) (- 1 u))) (- 0 (- 1 u)))))>
#<alt (* n0_i (+ (* (- 1 u) (* (- 1 u) (- 1 u))) (- 0 (- 1 u))))>
#<alt (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1)>
#<alt (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)>
#<alt (- (pow (- 1 u) 5) (- 1 u))>
#<alt (pow (- 1 u) 5)>
Outputs
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -2 n0_i) n1_i))))>
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))>
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))>
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))>
#<alt (* (pow normAngle 4) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))>
#<alt (* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))>
#<alt (* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))>
#<alt (* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))>
#<alt (* (pow normAngle 4) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))>
#<alt (* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))>
#<alt (* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))>
#<alt (* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))>
#<alt (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))>
#<alt (+ (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))))>
#<alt (+ (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))))>
#<alt (+ (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))))>
#<alt (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2))))))>
#<alt (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i))))>
#<alt (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i))))>
#<alt (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i))))>
#<alt (* -1 (* n0_i (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3)))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))))>
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))>
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))))>
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))))>
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))))>
#<alt (* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))>
#<alt (* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i))))>
#<alt (* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i))))>
#<alt (* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i))))>
#<alt (* -1 (* n1_i (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))>
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))>
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))>
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)))>
#<alt (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)))>
#<alt (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))>
#<alt (* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))>
#<alt (* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))>
#<alt (+ (* -1/120 n1_i) (* 1/36 n1_i))>
#<alt (+ (* -1/120 n1_i) (+ (* 1/45 n0_i) (* 1/36 n1_i)))>
#<alt (+ (* -1/120 n1_i) (+ (* 1/45 n0_i) (* 1/36 n1_i)))>
#<alt (+ (* -1/120 n1_i) (+ (* 1/45 n0_i) (* 1/36 n1_i)))>
#<alt (* 1/45 n0_i)>
#<alt (* n0_i (+ 1/45 (+ (* -1/120 (/ n1_i n0_i)) (* 1/36 (/ n1_i n0_i)))))>
#<alt (* n0_i (+ 1/45 (+ (* -1/120 (/ n1_i n0_i)) (* 1/36 (/ n1_i n0_i)))))>
#<alt (* n0_i (+ 1/45 (+ (* -1/120 (/ n1_i n0_i)) (* 1/36 (/ n1_i n0_i)))))>
#<alt (* 1/45 n0_i)>
#<alt (* -1 (* n0_i (- (* -1 (/ (+ (* -1/120 n1_i) (* 1/36 n1_i)) n0_i)) 1/45)))>
#<alt (* -1 (* n0_i (- (* -1 (/ (+ (* -1/120 n1_i) (* 1/36 n1_i)) n0_i)) 1/45)))>
#<alt (* -1 (* n0_i (- (* -1 (/ (+ (* -1/120 n1_i) (* 1/36 n1_i)) n0_i)) 1/45)))>
#<alt (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))>
#<alt (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i))))>
#<alt (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i))))>
#<alt (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i))))>
#<alt (* 7/360 n1_i)>
#<alt (* n1_i (+ 7/360 (+ (* -1/24 (/ n0_i n1_i)) (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i))))))>
#<alt (* n1_i (+ 7/360 (+ (* -1/24 (/ n0_i n1_i)) (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i))))))>
#<alt (* n1_i (+ 7/360 (+ (* -1/24 (/ n0_i n1_i)) (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i))))))>
#<alt (* 7/360 n1_i)>
#<alt (* -1 (* n1_i (- (* -1 (/ (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)) 7/360)))>
#<alt (* -1 (* n1_i (- (* -1 (/ (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)) 7/360)))>
#<alt (* -1 (* n1_i (- (* -1 (/ (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)) 7/360)))>
#<alt (* -1/120 n1_i)>
#<alt (+ (* -1/30 n0_i) (* -1/120 n1_i))>
#<alt (+ (* -1/30 n0_i) (* -1/120 n1_i))>
#<alt (+ (* -1/30 n0_i) (* -1/120 n1_i))>
#<alt (* -1/30 n0_i)>
#<alt (* n0_i (- (* -1/120 (/ n1_i n0_i)) 1/30))>
#<alt (* n0_i (- (* -1/120 (/ n1_i n0_i)) 1/30))>
#<alt (* n0_i (- (* -1/120 (/ n1_i n0_i)) 1/30))>
#<alt (* -1/30 n0_i)>
#<alt (* -1 (* n0_i (+ 1/30 (* 1/120 (/ n1_i n0_i)))))>
#<alt (* -1 (* n0_i (+ 1/30 (* 1/120 (/ n1_i n0_i)))))>
#<alt (* -1 (* n0_i (+ 1/30 (* 1/120 (/ n1_i n0_i)))))>
#<alt (+ (* -1/24 n0_i) (* 1/120 n0_i))>
#<alt (+ (* -1/24 n0_i) (+ (* -1/120 n1_i) (* 1/120 n0_i)))>
#<alt (+ (* -1/24 n0_i) (+ (* -1/120 n1_i) (* 1/120 n0_i)))>
#<alt (+ (* -1/24 n0_i) (+ (* -1/120 n1_i) (* 1/120 n0_i)))>
#<alt (* -1/120 n1_i)>
#<alt (* n1_i (- (+ (* -1/24 (/ n0_i n1_i)) (* 1/120 (/ n0_i n1_i))) 1/120))>
#<alt (* n1_i (- (+ (* -1/24 (/ n0_i n1_i)) (* 1/120 (/ n0_i n1_i))) 1/120))>
#<alt (* n1_i (- (+ (* -1/24 (/ n0_i n1_i)) (* 1/120 (/ n0_i n1_i))) 1/120))>
#<alt (* -1/120 n1_i)>
#<alt (* -1 (* n1_i (+ 1/120 (* -1 (/ (+ (* -1/24 n0_i) (* 1/120 n0_i)) n1_i)))))>
#<alt (* -1 (* n1_i (+ 1/120 (* -1 (/ (+ (* -1/24 n0_i) (* 1/120 n0_i)) n1_i)))))>
#<alt (* -1 (* n1_i (+ 1/120 (* -1 (/ (+ (* -1/24 n0_i) (* 1/120 n0_i)) n1_i)))))>
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#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i))))))) n0_i)) (* (pow normAngle 2) (+ (* -1/45 (* (pow normAngle 2) u)) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1))))))))>
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i))))))) n0_i)) (* (pow normAngle 2) (+ (* -1/45 (* (pow normAngle 2) u)) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1))))))))>
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#<alt (+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))))))>
#<alt (+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))))))>
#<alt (+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i))))))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))))))>
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#<alt (* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (/ n0_i (pow u 3)) (+ (/ n1_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) (pow u 2))))))))>
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#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))) (* -1/6 (+ n1_i (* 2 n0_i))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (+ (* -1 (/ n0_i u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))) (* -1/6 (+ n1_i (* 2 n0_i)))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))))))>
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#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))))>
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))))>
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#<alt (* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))>
#<alt (* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))))>
#<alt (* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))))>
#<alt (* (pow normAngle 4) (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))>
#<alt (* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))>
#<alt (* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))))>
#<alt (* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))))>
#<alt (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))))>
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* 7/360 (* (pow normAngle 2) u)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))))>
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* 7/360 (* (pow normAngle 2) u)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))))>
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* 7/360 (* (pow normAngle 2) u)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))))>
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#<alt (* 1/120 n0_i)>
#<alt (* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i))))>
#<alt (* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i))))>
#<alt (* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i))))>
#<alt (* 1/120 n0_i)>
#<alt (* -1 (* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120)))>
#<alt (* -1 (* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120)))>
#<alt (* -1 (* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120)))>
#<alt (* 1/6 n1_i)>
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))>
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))>
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))>
#<alt (* 1/3 n0_i)>
#<alt (* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))>
#<alt (* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))>
#<alt (* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))>
#<alt (* 1/3 n0_i)>
#<alt (* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))>
#<alt (* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))>
#<alt (* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))>
#<alt (* 1/3 n0_i)>
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))>
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))>
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))>
#<alt (* 1/6 n1_i)>
#<alt (* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))>
#<alt (* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))>
#<alt (* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))>
#<alt (* 1/6 n1_i)>
#<alt (* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))>
#<alt (* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))>
#<alt (* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))>
#<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 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))>
#<alt (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))>
#<alt (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))>
#<alt (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))>
#<alt (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))>
#<alt (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))>
#<alt (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))>
#<alt (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))>
#<alt (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))>
#<alt (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))>
#<alt (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))>
#<alt (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))>
#<alt (* 1/3 (* n0_i u))>
#<alt (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i)))>
#<alt (* u (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u))))))>
#<alt (* u (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u))))))>
#<alt (* 1/6 (* n0_i (pow u 3)))>
#<alt (* (pow u 3) (+ (* -1/2 (/ n0_i u)) (* 1/6 n0_i)))>
#<alt (* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* 1/6 n0_i) (* 1/3 (/ n0_i (pow u 2))))))>
#<alt (* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* 1/6 n0_i) (* 1/3 (/ n0_i (pow u 2))))))>
#<alt (* 1/6 (* n0_i (pow u 3)))>
#<alt (* -1 (* (pow u 3) (+ (* -1/6 n0_i) (* 1/2 (/ n0_i u)))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/2 n0_i) (* 1/3 (/ n0_i u))) u)) (* -1/6 n0_i))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/2 n0_i) (* 1/3 (/ n0_i u))) u)) (* -1/6 n0_i))))>
#<alt (* n0_i (- (+ u (pow (- 1 u) 3)) 1))>
#<alt (* n0_i (- (+ u (pow (- 1 u) 3)) 1))>
#<alt (* n0_i (- (+ u (pow (- 1 u) 3)) 1))>
#<alt (* n0_i (- (+ u (pow (- 1 u) 3)) 1))>
#<alt (* n0_i (- (+ u (pow (- 1 u) 3)) 1))>
#<alt (* n0_i (- (+ u (pow (- 1 u) 3)) 1))>
#<alt (* n0_i (- (+ u (pow (- 1 u) 3)) 1))>
#<alt (* n0_i (- (+ u (pow (- 1 u) 3)) 1))>
#<alt (* n0_i (- (+ u (pow (- 1 u) 3)) 1))>
#<alt (* n0_i (- (+ u (pow (- 1 u) 3)) 1))>
#<alt (* n0_i (- (+ u (pow (- 1 u) 3)) 1))>
#<alt (* n0_i (- (+ u (pow (- 1 u) 3)) 1))>
#<alt (* -2 (* n0_i u))>
#<alt (* u (+ (* -2 n0_i) (* 3 (* n0_i u))))>
#<alt (* u (+ (* -2 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))>
#<alt (* u (+ (* -2 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))>
#<alt (* -1 (* n0_i (pow u 3)))>
#<alt (* (pow u 3) (+ (* -1 n0_i) (* 3 (/ n0_i u))))>
#<alt (* (pow u 3) (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (* 3 (/ n0_i u)))))>
#<alt (* (pow u 3) (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (* 3 (/ n0_i u)))))>
#<alt (* -1 (* n0_i (pow u 3)))>
#<alt (* -1 (* (pow u 3) (+ n0_i (* -3 (/ n0_i u)))))>
#<alt (* -1 (* (pow u 3) (+ n0_i (* -1 (/ (+ (* -2 (/ n0_i u)) (* 3 n0_i)) u)))))>
#<alt (* -1 (* (pow u 3) (+ n0_i (* -1 (/ (+ (* -2 (/ n0_i u)) (* 3 n0_i)) u)))))>
#<alt (* -3 u)>
#<alt (* u (- (* 3 u) 3))>
#<alt (* u (- (* u (+ 3 (* -1 u))) 3))>
#<alt (* u (- (* u (+ 3 (* -1 u))) 3))>
#<alt (* -1 (pow u 3))>
#<alt (* (pow u 3) (- (* 3 (/ 1 u)) 1))>
#<alt (* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2)))))>
#<alt (* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2)))))>
#<alt (* -1 (pow u 3))>
#<alt (* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u)))))>
#<alt (* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u)))))>
#<alt (* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u)))))>
#<alt (* 1/18 u)>
#<alt (* u (+ 1/18 (* -1/12 u)))>
#<alt (* u (+ 1/18 (* u (- (* 1/36 u) 1/12))))>
#<alt (* u (+ 1/18 (* u (- (* 1/36 u) 1/12))))>
#<alt (* 1/36 (pow u 3))>
#<alt (* (pow u 3) (- 1/36 (* 1/12 (/ 1 u))))>
#<alt (* (pow u 3) (- (+ 1/36 (/ 1/18 (pow u 2))) (* 1/12 (/ 1 u))))>
#<alt (* (pow u 3) (- (+ 1/36 (/ 1/18 (pow u 2))) (* 1/12 (/ 1 u))))>
#<alt (* 1/36 (pow u 3))>
#<alt (* -1 (* (pow u 3) (- (* 1/12 (/ 1 u)) 1/36)))>
#<alt (* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/18 (/ 1 u)) 1/12) u)) 1/36)))>
#<alt (* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/18 (/ 1 u)) 1/12) u)) 1/36)))>
#<alt (* -4 u)>
#<alt (* u (- (* 10 u) 4))>
#<alt (* u (- (* u (+ 10 (* -10 u))) 4))>
#<alt (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))>
#<alt (* -1 (pow u 5))>
#<alt (* (pow u 5) (- (* 5 (/ 1 u)) 1))>
#<alt (* (pow u 5) (- (* 5 (/ 1 u)) (+ 1 (/ 10 (pow u 2)))))>
#<alt (* (pow u 5) (- (+ (* 5 (/ 1 u)) (* 10 (/ 1 (pow u 3)))) (+ 1 (/ 10 (pow u 2)))))>
#<alt (* -1 (pow u 5))>
#<alt (* -1 (* (pow u 5) (- 1 (* 5 (/ 1 u)))))>
#<alt (* -1 (* (pow u 5) (+ 1 (* -1 (/ (- 5 (* 10 (/ 1 u))) u)))))>
#<alt (* -1 (* (pow u 5) (+ 1 (* -1 (/ (+ 5 (* -1 (/ (- 10 (* 10 (/ 1 u))) u))) u)))))>
#<alt 1>
#<alt (+ 1 (* -5 u))>
#<alt (+ 1 (* u (- (* 10 u) 5)))>
#<alt (+ 1 (* u (- (* u (+ 10 (* -10 u))) 5)))>
#<alt (* -1 (pow u 5))>
#<alt (* (pow u 5) (- (* 5 (/ 1 u)) 1))>
#<alt (* (pow u 5) (- (* 5 (/ 1 u)) (+ 1 (/ 10 (pow u 2)))))>
#<alt (* (pow u 5) (- (+ (* 5 (/ 1 u)) (* 10 (/ 1 (pow u 3)))) (+ 1 (/ 10 (pow u 2)))))>
#<alt (* -1 (pow u 5))>
#<alt (* -1 (* (pow u 5) (- 1 (* 5 (/ 1 u)))))>
#<alt (* -1 (* (pow u 5) (+ 1 (* -1 (/ (- 5 (* 10 (/ 1 u))) u)))))>
#<alt (* -1 (* (pow u 5) (+ 1 (* -1 (/ (+ 5 (* -1 (/ (- 10 (* 10 (/ 1 u))) u))) u)))))>
Calls

129 calls:

TimeVariablePointExpression
24.0ms
n1_i
@-inf
(+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i)))
14.0ms
n1_i
@0
(+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle)))))
10.0ms
n1_i
@0
(+ (* n0_i (- 1 u)) (+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* n0_i (+ (* 1/120 (- (pow (- 1 u) 5) (- 1 u))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))))) (* u n1_i)))
4.0ms
normAngle
@inf
(+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle)))))
2.0ms
normAngle
@0
(+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle)))))

rewrite533.0ms (2.9%)

Memory
-4.9MiB live, 859.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 308×accelerator-lowering-fma.f32
6 308×accelerator-lowering-fma.f64
5 782×*-lowering-*.f32
5 782×*-lowering-*.f64
2 402×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073350
1522347
25422347
09087311
Stop Event
iter limit
node limit
Counts
22 → 736
Calls
Call 1
Inputs
(+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle)))))
(+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i))))
(+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i)))
(* -1/36 (+ (* n0_i -2) (neg n1_i)))
(* n0_i (- 1 u))
(- 1 u)
(+ (* n0_i (- 1 u)) (* (* normAngle normAngle) (* -1/6 (* n0_i (+ (* (- 1 u) (* (- 1 u) (- 1 u))) (- 0 (- 1 u)))))))
(- 0 (- 1 u))
(+ (* (- 1 u) (* (- 1 u) (- 1 u))) (- 0 (- 1 u)))
(+ (* n0_i (- 1 u)) (+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* u (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))))))) (* u n1_i)))
(+ (* n0_i (- 1 u)) (+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* n0_i (+ (* 1/120 (- (pow (- 1 u) 5) (- 1 u))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))))) (* u n1_i)))
(+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)
(+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))
(* -1/120 (- n1_i n0_i))
(* (+ (* n0_i -2) (neg n1_i)) -1/6)
(* (- 1 u) (- 1 u))
(* -1/6 (* n0_i (+ (* (- 1 u) (* (- 1 u) (- 1 u))) (- 0 (- 1 u)))))
(* n0_i (+ (* (- 1 u) (* (- 1 u) (- 1 u))) (- 0 (- 1 u))))
(+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1)
(+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)
(- (pow (- 1 u) 5) (- 1 u))
(pow (- 1 u) 5)
Outputs
(+.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32)))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))
(+.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))) (*.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32)))))
(+.f32 (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i)))))))) (fma.f32 normAngle (*.f32 normAngle (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)))))
(+.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))))))) (*.f32 normAngle (*.f32 normAngle (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32)))))
(pow.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))) (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))) (*.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))))) (*.f32 (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))))))) (fma.f32 #s(literal -1/8 binary32) (*.f32 (*.f32 u (*.f32 u u)) (*.f32 (*.f32 n0_i (*.f32 n0_i n0_i)) (*.f32 (*.f32 normAngle (*.f32 normAngle normAngle)) (*.f32 normAngle (*.f32 normAngle normAngle))))) (pow.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32)))) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal 1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)))) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)))) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal 1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)))))) #s(literal -1 binary32))
(fma.f32 normAngle (*.f32 normAngle (fma.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32)))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u))))
(fma.f32 normAngle (*.f32 normAngle (*.f32 normAngle (*.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 #s(literal 1/36 binary32) n1_i))))))) (fma.f32 normAngle (*.f32 normAngle (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)))))
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(exp.f32 (*.f32 #s(literal 5 binary32) (log1p.f32 (neg.f32 u))))
(exp.f32 (*.f32 (log.f32 (fma.f32 (+.f32 u #s(literal -1 binary32)) (+.f32 u #s(literal -1 binary32)) #s(literal 0 binary32))) #s(literal 5/2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 u #s(literal -1 binary32)) #s(literal 5/2 binary32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (*.f32 (log1p.f32 (neg.f32 u)) #s(literal 2 binary32)) #s(literal 5/2 binary32)))
(exp.f32 (*.f32 (*.f32 (log1p.f32 (neg.f32 u)) #s(literal 5/2 binary32)) #s(literal 2 binary32)))
(exp.f32 (fma.f32 (log1p.f32 (neg.f32 u)) #s(literal 5/2 binary32) (*.f32 (log1p.f32 (neg.f32 u)) #s(literal 5/2 binary32))))
(exp.f32 (fma.f32 (log1p.f32 (neg.f32 u)) #s(literal 3 binary32) (*.f32 (log1p.f32 (neg.f32 u)) #s(literal 2 binary32))))
(exp.f32 (fma.f32 (log1p.f32 (neg.f32 u)) #s(literal 2 binary32) (*.f32 (log1p.f32 (neg.f32 u)) #s(literal 3 binary32))))
(pow.f32 (+.f32 u #s(literal -1 binary32)) #s(literal 5 binary32))
(pow.f32 (fma.f32 (+.f32 u #s(literal -1 binary32)) (+.f32 u #s(literal -1 binary32)) #s(literal 0 binary32)) #s(literal 5/2 binary32))
(pow.f32 (pow.f32 (+.f32 u #s(literal -1 binary32)) #s(literal 5/2 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal 5 binary32)) (log1p.f32 (neg.f32 u)))
(*.f32 (fma.f32 (+.f32 u #s(literal -1 binary32)) (+.f32 u #s(literal -1 binary32)) #s(literal 0 binary32)) (fma.f32 (+.f32 u #s(literal -1 binary32)) (fma.f32 (+.f32 u #s(literal -1 binary32)) (+.f32 u #s(literal -1 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32)))
(*.f32 (fma.f32 (+.f32 u #s(literal -1 binary32)) (fma.f32 (+.f32 u #s(literal -1 binary32)) (+.f32 u #s(literal -1 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32)) (fma.f32 (+.f32 u #s(literal -1 binary32)) (+.f32 u #s(literal -1 binary32)) #s(literal 0 binary32)))
(*.f32 (pow.f32 (+.f32 u #s(literal -1 binary32)) #s(literal 5/2 binary32)) (pow.f32 (+.f32 u #s(literal -1 binary32)) #s(literal 5/2 binary32)))

simplify597.0ms (3.3%)

Memory
32.6MiB live, 854.7MiB allocated
Algorithm
egg-herbie
Rules
10 086×accelerator-lowering-fma.f32
10 086×accelerator-lowering-fma.f64
7 900×+-lowering-+.f64
7 900×+-lowering-+.f32
5 914×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089910946
1308510560
081769859
Stop Event
iter limit
node limit
Counts
516 → 516
Calls
Call 1
Inputs
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -2 n0_i) n1_i))))
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))
(* (pow normAngle 4) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
(* (pow normAngle 4) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
(* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))
(+ (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))))
(+ (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))))
(+ (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))))
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2))))))
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i))))
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i))))
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i))))
(* -1 (* n0_i (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3)))))
(* -1 (* n0_i (+ (* -1 (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))))
(* -1 (* n0_i (+ (* -1 (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))))
(* -1 (* n0_i (+ (* -1 (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))))
(* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i))))
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i))))
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i))))
(* -1 (* n1_i (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))))
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)))))
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)))))
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)))))
(* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)))
(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)))
(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(+ (* -1/120 n1_i) (* 1/36 n1_i))
(+ (* -1/120 n1_i) (+ (* 1/45 n0_i) (* 1/36 n1_i)))
(+ (* -1/120 n1_i) (+ (* 1/45 n0_i) (* 1/36 n1_i)))
(+ (* -1/120 n1_i) (+ (* 1/45 n0_i) (* 1/36 n1_i)))
(* 1/45 n0_i)
(* n0_i (+ 1/45 (+ (* -1/120 (/ n1_i n0_i)) (* 1/36 (/ n1_i n0_i)))))
(* n0_i (+ 1/45 (+ (* -1/120 (/ n1_i n0_i)) (* 1/36 (/ n1_i n0_i)))))
(* n0_i (+ 1/45 (+ (* -1/120 (/ n1_i n0_i)) (* 1/36 (/ n1_i n0_i)))))
(* 1/45 n0_i)
(* -1 (* n0_i (- (* -1 (/ (+ (* -1/120 n1_i) (* 1/36 n1_i)) n0_i)) 1/45)))
(* -1 (* n0_i (- (* -1 (/ (+ (* -1/120 n1_i) (* 1/36 n1_i)) n0_i)) 1/45)))
(* -1 (* n0_i (- (* -1 (/ (+ (* -1/120 n1_i) (* 1/36 n1_i)) n0_i)) 1/45)))
(+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))
(+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i))))
(+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i))))
(+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i))))
(* 7/360 n1_i)
(* n1_i (+ 7/360 (+ (* -1/24 (/ n0_i n1_i)) (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i))))))
(* n1_i (+ 7/360 (+ (* -1/24 (/ n0_i n1_i)) (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i))))))
(* n1_i (+ 7/360 (+ (* -1/24 (/ n0_i n1_i)) (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i))))))
(* 7/360 n1_i)
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)) 7/360)))
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)) 7/360)))
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)) 7/360)))
(* -1/120 n1_i)
(+ (* -1/30 n0_i) (* -1/120 n1_i))
(+ (* -1/30 n0_i) (* -1/120 n1_i))
(+ (* -1/30 n0_i) (* -1/120 n1_i))
(* -1/30 n0_i)
(* n0_i (- (* -1/120 (/ n1_i n0_i)) 1/30))
(* n0_i (- (* -1/120 (/ n1_i n0_i)) 1/30))
(* n0_i (- (* -1/120 (/ n1_i n0_i)) 1/30))
(* -1/30 n0_i)
(* -1 (* n0_i (+ 1/30 (* 1/120 (/ n1_i n0_i)))))
(* -1 (* n0_i (+ 1/30 (* 1/120 (/ n1_i n0_i)))))
(* -1 (* n0_i (+ 1/30 (* 1/120 (/ n1_i n0_i)))))
(+ (* -1/24 n0_i) (* 1/120 n0_i))
(+ (* -1/24 n0_i) (+ (* -1/120 n1_i) (* 1/120 n0_i)))
(+ (* -1/24 n0_i) (+ (* -1/120 n1_i) (* 1/120 n0_i)))
(+ (* -1/24 n0_i) (+ (* -1/120 n1_i) (* 1/120 n0_i)))
(* -1/120 n1_i)
(* n1_i (- (+ (* -1/24 (/ n0_i n1_i)) (* 1/120 (/ n0_i n1_i))) 1/120))
(* n1_i (- (+ (* -1/24 (/ n0_i n1_i)) (* 1/120 (/ n0_i n1_i))) 1/120))
(* n1_i (- (+ (* -1/24 (/ n0_i n1_i)) (* 1/120 (/ n0_i n1_i))) 1/120))
(* -1/120 n1_i)
(* -1 (* n1_i (+ 1/120 (* -1 (/ (+ (* -1/24 n0_i) (* 1/120 n0_i)) n1_i)))))
(* -1 (* n1_i (+ 1/120 (* -1 (/ (+ (* -1/24 n0_i) (* 1/120 n0_i)) n1_i)))))
(* -1 (* n1_i (+ 1/120 (* -1 (/ (+ (* -1/24 n0_i) (* 1/120 n0_i)) n1_i)))))
(* 1/36 n1_i)
(+ (* 1/36 n1_i) (* 1/18 n0_i))
(+ (* 1/36 n1_i) (* 1/18 n0_i))
(+ (* 1/36 n1_i) (* 1/18 n0_i))
(* 1/18 n0_i)
(* n0_i (+ 1/18 (* 1/36 (/ n1_i n0_i))))
(* n0_i (+ 1/18 (* 1/36 (/ n1_i n0_i))))
(* n0_i (+ 1/18 (* 1/36 (/ n1_i n0_i))))
(* 1/18 n0_i)
(* -1 (* n0_i (- (* -1/36 (/ n1_i n0_i)) 1/18)))
(* -1 (* n0_i (- (* -1/36 (/ n1_i n0_i)) 1/18)))
(* -1 (* n0_i (- (* -1/36 (/ n1_i n0_i)) 1/18)))
(* 1/18 n0_i)
(+ (* 1/36 n1_i) (* 1/18 n0_i))
(+ (* 1/36 n1_i) (* 1/18 n0_i))
(+ (* 1/36 n1_i) (* 1/18 n0_i))
(* 1/36 n1_i)
(* n1_i (+ 1/36 (* 1/18 (/ n0_i n1_i))))
(* n1_i (+ 1/36 (* 1/18 (/ n0_i n1_i))))
(* n1_i (+ 1/36 (* 1/18 (/ n0_i n1_i))))
(* 1/36 n1_i)
(* -1 (* n1_i (- (* -1/18 (/ n0_i n1_i)) 1/36)))
(* -1 (* n1_i (- (* -1/18 (/ n0_i n1_i)) 1/36)))
(* -1 (* n1_i (- (* -1/18 (/ n0_i n1_i)) 1/36)))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
n0_i
(+ n0_i (* -1 (* n0_i u)))
(+ n0_i (* -1 (* n0_i u)))
(+ n0_i (* -1 (* n0_i u)))
(* -1 (* n0_i u))
(* u (+ (* -1 n0_i) (/ n0_i u)))
(* u (+ (* -1 n0_i) (/ n0_i u)))
(* u (+ (* -1 n0_i) (/ n0_i u)))
(* -1 (* n0_i u))
(* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))
(* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))
(* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))
1
(+ 1 (* -1 u))
(+ 1 (* -1 u))
(+ 1 (* -1 u))
(* -1 u)
(* u (- (/ 1 u) 1))
(* u (- (/ 1 u) 1))
(* u (- (/ 1 u) 1))
(* -1 u)
(* -1 (* u (- 1 (/ 1 u))))
(* -1 (* u (- 1 (/ 1 u))))
(* -1 (* u (- 1 (/ 1 u))))
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u))
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u))
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u))
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u))
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u))
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u))
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u))
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* 1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* 1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* 1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* 1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))))))
n0_i
(+ n0_i (* u (+ (* -1 n0_i) (* 1/3 (* n0_i (pow normAngle 2))))))
(+ n0_i (* u (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* 1/3 (* n0_i (pow normAngle 2)))))))
(+ n0_i (* u (+ (* -1 n0_i) (+ (* 1/3 (* n0_i (pow normAngle 2))) (* 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 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (* 1/3 (/ (* n0_i (pow normAngle 2)) (pow u 2)))))))
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) (pow u 2))) (/ n0_i (pow u 3)))))))
(* 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 (* -1/3 (* n0_i (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 (/ (+ n0_i (+ (* -1 (/ n0_i u)) (* -1/3 (* n0_i (pow normAngle 2))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))
(* n0_i (- 1 u))
(+ (* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) (* n0_i (- 1 u)))
(+ (* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) (* n0_i (- 1 u)))
(+ (* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) (* n0_i (- 1 u)))
(* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))))
(* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))
(* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))))
(* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))
-1
(- u 1)
(- u 1)
(- u 1)
u
(* u (- 1 (/ 1 u)))
(* u (- 1 (/ 1 u)))
(* u (- 1 (/ 1 u)))
u
(* -1 (* u (- (/ 1 u) 1)))
(* -1 (* u (- (/ 1 u) 1)))
(* -1 (* u (- (/ 1 u) 1)))
(* -2 u)
(* u (- (* 3 u) 2))
(* u (- (* u (+ 3 (* -1 u))) 2))
(* u (- (* u (+ 3 (* -1 u))) 2))
(* -1 (pow u 3))
(* (pow u 3) (- (* 3 (/ 1 u)) 1))
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 2 (pow u 2)))))
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 2 (pow u 2)))))
(* -1 (pow u 3))
(* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u)))))
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 2 (/ 1 u))) u)))))
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 2 (/ 1 u))) u)))))
(+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i)))))))
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/45 (* (pow normAngle 2) u))))) u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i))))))))
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/45 (* (pow normAngle 2) u))))) u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i))))))))
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/45 (* (pow normAngle 2) u))))) u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i))))))))
(* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/45 (* (pow normAngle 2) u))))) u))
(* n0_i (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/45 (* (pow normAngle 2) u)))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i)))))) n0_i)))) u))
(* n0_i (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/45 (* (pow normAngle 2) u)))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i)))))) n0_i)))) u))
(* n0_i (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/45 (* (pow normAngle 2) u)))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i)))))) n0_i)))) u))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* (pow normAngle 2) (+ (* -1/45 (* (pow normAngle 2) u)) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i))))))) n0_i)) (* (pow normAngle 2) (+ (* -1/45 (* (pow normAngle 2) u)) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1))))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i))))))) n0_i)) (* (pow normAngle 2) (+ (* -1/45 (* (pow normAngle 2) u)) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1))))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i))))))) n0_i)) (* (pow normAngle 2) (+ (* -1/45 (* (pow normAngle 2) u)) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1))))))))
n0_i
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))))))
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))))))
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i))))))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))))))
(* -1/6 (* (pow normAngle 2) (* (pow u 3) (+ n1_i (* -1 n0_i)))))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i))))))
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (/ n1_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) (pow u 2)))))))
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (/ n0_i (pow u 3)) (+ (/ n1_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_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)))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))) (* -1/6 (+ n1_i (* 2 n0_i))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) 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)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))) (* -1/6 (+ n1_i (* 2 n0_i)))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))))))
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* -1/6 (* (pow normAngle 2) (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))))) (+ (* n0_i (- 1 u)) (* n1_i u)))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))))
(* (pow normAngle 4) (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))))
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))))
(* (pow normAngle 4) (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))))
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* 7/360 (* (pow normAngle 2) u)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* 7/360 (* (pow normAngle 2) u)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* 7/360 (* (pow normAngle 2) u)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))))
(* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* 7/360 (* (pow normAngle 2) u))))))
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* 7/360 (* (pow normAngle 2) u)))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i)))))
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* 7/360 (* (pow normAngle 2) u)))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i)))))
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* 7/360 (* (pow normAngle 2) u)))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (* (pow normAngle 2) (+ (* -7/360 (* (pow normAngle 2) u)) (* 1/6 (* u (- (pow u 2) 1))))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))) n1_i)) (* (pow normAngle 2) (+ (* -7/360 (* (pow normAngle 2) u)) (* 1/6 (* u (- (pow u 2) 1)))))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))) n1_i)) (* (pow normAngle 2) (+ (* -7/360 (* (pow normAngle 2) u)) (* 1/6 (* u (- (pow u 2) 1)))))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))) n1_i)) (* (pow normAngle 2) (+ (* -7/360 (* (pow normAngle 2) u)) (* 1/6 (* u (- (pow u 2) 1)))))))))
(+ (* -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 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))) u)) (* n1_i u)))
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))) u)) (* n1_i u)))
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))) u)) (* n1_i u)))
(* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))) u))
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))) (/ (* n1_i u) n0_i)))) u))
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))) (/ (* n1_i u) n0_i)))) u))
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))) (/ (* n1_i u) n0_i)))) u))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1))))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1))))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1))))))))
n0_i
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* 1/45 (* n0_i (pow normAngle 2)))))))))
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* 1/45 (* n0_i (pow normAngle 2))))))))))
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/18 (* n0_i (pow normAngle 2)))))))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* 1/45 (* n0_i (pow normAngle 2))))))))))
(* -1/120 (* n0_i (* (pow normAngle 4) (pow u 5))))
(* (pow u 5) (+ (* -1/120 (* n0_i (pow normAngle 4))) (* 1/24 (/ (* n0_i (pow normAngle 4)) u))))
(* (pow u 5) (+ (* -1/120 (* n0_i (pow normAngle 4))) (+ (* 1/24 (/ (* n0_i (pow normAngle 4)) u)) (/ (* (pow normAngle 2) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/18 (* n0_i (pow normAngle 2))))) (pow u 2)))))
(* (pow u 5) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) (pow u 3))) (+ (* -1/120 (* n0_i (pow normAngle 4))) (+ (* 1/24 (/ (* n0_i (pow normAngle 4)) u)) (/ (* (pow normAngle 2) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/18 (* n0_i (pow normAngle 2))))) (pow u 2))))))
(* -1/120 (* n0_i (* (pow normAngle 4) (pow u 5))))
(* -1 (* (pow u 5) (+ (* -1/24 (/ (* n0_i (pow normAngle 4)) u)) (* 1/120 (* n0_i (pow normAngle 4))))))
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/18 (* n0_i (pow normAngle 2))))) u)) (* 1/24 (* n0_i (pow normAngle 4)))) u)) (* 1/120 (* n0_i (pow normAngle 4))))))
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/18 (* n0_i (pow normAngle 2)))))) u)) (* 1/24 (* n0_i (pow normAngle 4)))) u)) (* 1/120 (* n0_i (pow normAngle 4))))))
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* -1/6 (* (pow normAngle 2) (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))))) (+ (* n0_i (- 1 u)) (* n1_i u)))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))))))
(* n0_i (* (pow normAngle 4) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))))
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))))
(* n0_i (* (pow normAngle 4) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))))
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 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)))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))) n1_i)))))
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))) n1_i)))))
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))) n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))))) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))))) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))))) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))))
(* -2 u)
(* u (- (* 3 u) 2))
(* u (- (* u (+ 3 (* -1 u))) 2))
(* u (- (* u (+ 3 (* -1 u))) 2))
(* -1 (pow u 3))
(* (pow u 3) (- (* 3 (/ 1 u)) 1))
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 2 (pow u 2)))))
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 2 (pow u 2)))))
(* -1 (pow u 3))
(* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u)))))
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 2 (/ 1 u))) u)))))
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 2 (/ 1 u))) u)))))
(* n1_i (* u (- (pow u 2) 1)))
(+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))
(+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))
(+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(* n0_i (- (+ u (+ (/ (* n1_i (* u (- (pow u 2) 1))) n0_i) (pow (- 1 u) 3))) 1))
(* n0_i (- (+ u (+ (/ (* n1_i (* u (- (pow u 2) 1))) n0_i) (pow (- 1 u) 3))) 1))
(* n0_i (- (+ u (+ (/ (* n1_i (* u (- (pow u 2) 1))) n0_i) (pow (- 1 u) 3))) 1))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(* -1 (* n0_i (+ (* -1 (- (+ u (pow (- 1 u) 3)) 1)) (* -1 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))
(* -1 (* n0_i (+ (* -1 (- (+ u (pow (- 1 u) 3)) 1)) (* -1 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))
(* -1 (* n0_i (+ (* -1 (- (+ u (pow (- 1 u) 3)) 1)) (* -1 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))
(* u (+ (* -2 n0_i) (* -1 n1_i)))
(* u (+ (* -2 n0_i) (+ (* -1 n1_i) (* 3 (* n0_i u)))))
(* u (+ (* -2 n0_i) (+ (* -1 n1_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i))))))))
(* u (+ (* -2 n0_i) (+ (* -1 n1_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i))))))))
(* (pow u 3) (+ n1_i (* -1 n0_i)))
(* (pow u 3) (+ n1_i (+ (* -1 n0_i) (* 3 (/ n0_i u)))))
(* (pow u 3) (+ n1_i (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* -1 (/ n1_i (pow u 2))) (* 3 (/ n0_i u)))))))
(* (pow u 3) (+ n1_i (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* -1 (/ n1_i (pow u 2))) (* 3 (/ n0_i u)))))))
(* -1 (* (pow u 3) (+ n0_i (* -1 n1_i))))
(* -1 (* (pow u 3) (+ n0_i (+ (* -3 (/ n0_i u)) (* -1 n1_i)))))
(* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ (* -1 (/ (+ n1_i (* 2 n0_i)) u)) (* 3 n0_i)) u))))))
(* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ (* -1 (/ (+ n1_i (* 2 n0_i)) u)) (* 3 n0_i)) u))))))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))
(+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))
(+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))
(* n1_i (* u (- (pow u 2) 1)))
(* n1_i (+ (* u (- (pow u 2) 1)) (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))
(* n1_i (+ (* u (- (pow u 2) 1)) (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))
(* n1_i (+ (* u (- (pow u 2) 1)) (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))
(* n1_i (* u (- (pow u 2) 1)))
(* -1 (* n1_i (+ (* -1 (* u (- (pow u 2) 1))) (* -1 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))))
(* -1 (* n1_i (+ (* -1 (* u (- (pow u 2) 1))) (* -1 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))))
(* -1 (* n1_i (+ (* -1 (* u (- (pow u 2) 1))) (* -1 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))))
(* 1/120 n0_i)
(+ (* -1/120 n1_i) (* 1/120 n0_i))
(+ (* -1/120 n1_i) (* 1/120 n0_i))
(+ (* -1/120 n1_i) (* 1/120 n0_i))
(* -1/120 n1_i)
(* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120))
(* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120))
(* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120))
(* -1/120 n1_i)
(* -1 (* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i)))))
(* -1 (* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i)))))
(* -1 (* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i)))))
(* -1/120 n1_i)
(+ (* -1/120 n1_i) (* 1/120 n0_i))
(+ (* -1/120 n1_i) (* 1/120 n0_i))
(+ (* -1/120 n1_i) (* 1/120 n0_i))
(* 1/120 n0_i)
(* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i))))
(* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i))))
(* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i))))
(* 1/120 n0_i)
(* -1 (* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120)))
(* -1 (* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120)))
(* -1 (* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120)))
(* 1/6 n1_i)
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(* 1/3 n0_i)
(* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))
(* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))
(* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))
(* 1/3 n0_i)
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))
(* 1/3 n0_i)
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(* 1/6 n1_i)
(* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))
(* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))
(* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))
(* 1/6 n1_i)
(* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))
(* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))
(* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))
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 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))
(* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))
(* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))
(* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))
(* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))
(* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))
(* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))
(* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))
(* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))
(* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))
(* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))
(* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))
(* 1/3 (* n0_i u))
(* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i)))
(* u (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u))))))
(* u (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u))))))
(* 1/6 (* n0_i (pow u 3)))
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (* 1/6 n0_i)))
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* 1/6 n0_i) (* 1/3 (/ n0_i (pow u 2))))))
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* 1/6 n0_i) (* 1/3 (/ n0_i (pow u 2))))))
(* 1/6 (* n0_i (pow u 3)))
(* -1 (* (pow u 3) (+ (* -1/6 n0_i) (* 1/2 (/ n0_i u)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/2 n0_i) (* 1/3 (/ n0_i u))) u)) (* -1/6 n0_i))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/2 n0_i) (* 1/3 (/ n0_i u))) u)) (* -1/6 n0_i))))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(* -2 (* n0_i u))
(* u (+ (* -2 n0_i) (* 3 (* n0_i u))))
(* u (+ (* -2 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))
(* u (+ (* -2 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))
(* -1 (* n0_i (pow u 3)))
(* (pow u 3) (+ (* -1 n0_i) (* 3 (/ n0_i u))))
(* (pow u 3) (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (* 3 (/ n0_i u)))))
(* (pow u 3) (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (* 3 (/ n0_i u)))))
(* -1 (* n0_i (pow u 3)))
(* -1 (* (pow u 3) (+ n0_i (* -3 (/ n0_i u)))))
(* -1 (* (pow u 3) (+ n0_i (* -1 (/ (+ (* -2 (/ n0_i u)) (* 3 n0_i)) u)))))
(* -1 (* (pow u 3) (+ n0_i (* -1 (/ (+ (* -2 (/ n0_i u)) (* 3 n0_i)) u)))))
(* -3 u)
(* u (- (* 3 u) 3))
(* u (- (* u (+ 3 (* -1 u))) 3))
(* u (- (* u (+ 3 (* -1 u))) 3))
(* -1 (pow u 3))
(* (pow u 3) (- (* 3 (/ 1 u)) 1))
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2)))))
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2)))))
(* -1 (pow u 3))
(* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u)))))
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u)))))
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u)))))
(* 1/18 u)
(* u (+ 1/18 (* -1/12 u)))
(* u (+ 1/18 (* u (- (* 1/36 u) 1/12))))
(* u (+ 1/18 (* u (- (* 1/36 u) 1/12))))
(* 1/36 (pow u 3))
(* (pow u 3) (- 1/36 (* 1/12 (/ 1 u))))
(* (pow u 3) (- (+ 1/36 (/ 1/18 (pow u 2))) (* 1/12 (/ 1 u))))
(* (pow u 3) (- (+ 1/36 (/ 1/18 (pow u 2))) (* 1/12 (/ 1 u))))
(* 1/36 (pow u 3))
(* -1 (* (pow u 3) (- (* 1/12 (/ 1 u)) 1/36)))
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/18 (/ 1 u)) 1/12) u)) 1/36)))
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/18 (/ 1 u)) 1/12) u)) 1/36)))
(* -4 u)
(* u (- (* 10 u) 4))
(* u (- (* u (+ 10 (* -10 u))) 4))
(* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))
(* -1 (pow u 5))
(* (pow u 5) (- (* 5 (/ 1 u)) 1))
(* (pow u 5) (- (* 5 (/ 1 u)) (+ 1 (/ 10 (pow u 2)))))
(* (pow u 5) (- (+ (* 5 (/ 1 u)) (* 10 (/ 1 (pow u 3)))) (+ 1 (/ 10 (pow u 2)))))
(* -1 (pow u 5))
(* -1 (* (pow u 5) (- 1 (* 5 (/ 1 u)))))
(* -1 (* (pow u 5) (+ 1 (* -1 (/ (- 5 (* 10 (/ 1 u))) u)))))
(* -1 (* (pow u 5) (+ 1 (* -1 (/ (+ 5 (* -1 (/ (- 10 (* 10 (/ 1 u))) u))) u)))))
1
(+ 1 (* -5 u))
(+ 1 (* u (- (* 10 u) 5)))
(+ 1 (* u (- (* u (+ 10 (* -10 u))) 5)))
(* -1 (pow u 5))
(* (pow u 5) (- (* 5 (/ 1 u)) 1))
(* (pow u 5) (- (* 5 (/ 1 u)) (+ 1 (/ 10 (pow u 2)))))
(* (pow u 5) (- (+ (* 5 (/ 1 u)) (* 10 (/ 1 (pow u 3)))) (+ 1 (/ 10 (pow u 2)))))
(* -1 (pow u 5))
(* -1 (* (pow u 5) (- 1 (* 5 (/ 1 u)))))
(* -1 (* (pow u 5) (+ 1 (* -1 (/ (- 5 (* 10 (/ 1 u))) u)))))
(* -1 (* (pow u 5) (+ 1 (* -1 (/ (+ 5 (* -1 (/ (- 10 (* 10 (/ 1 u))) u))) u)))))
Outputs
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -2 n0_i) n1_i))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))))
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)))))
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)))))
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)))))
(* (pow normAngle 4) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))
(*.f32 (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (pow.f32 normAngle #s(literal 4 binary32)))
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i u) (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))))))
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i u) (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))))))
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i u) (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))))))
(* (pow normAngle 4) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))
(*.f32 (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (pow.f32 normAngle #s(literal 4 binary32)))
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i u) (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))))))
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i u) (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))))))
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i u) (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))))))
(* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))
(*.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))))
(+ (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 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))) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))))
(+ (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 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))) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))))
(+ (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 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))) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)))))
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2))))))
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))))
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i))))
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) n0_i)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))))
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i))))
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) n0_i)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))))
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i))))
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) n0_i)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))))
(* -1 (* n0_i (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3)))))
(*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/2 binary32))) (neg.f32 n0_i))
(* -1 (* n0_i (+ (* -1 (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))))
(neg.f32 (*.f32 n0_i (fma.f32 (neg.f32 (*.f32 normAngle normAngle)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/2 binary32))))))
(* -1 (* n0_i (+ (* -1 (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))))
(neg.f32 (*.f32 n0_i (fma.f32 (neg.f32 (*.f32 normAngle normAngle)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/2 binary32))))))
(* -1 (* n0_i (+ (* -1 (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))))
(neg.f32 (*.f32 n0_i (fma.f32 (neg.f32 (*.f32 normAngle normAngle)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/2 binary32))))))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/45 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u)))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))))
(fma.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/45 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u))))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))))
(fma.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/45 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u))))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))))
(fma.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/45 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u))))
(* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))
(*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i))))
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (/.f32 (fma.f32 #s(literal 1/45 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (*.f32 n0_i #s(literal 1/3 binary32))) n1_i)) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u)) n1_i)))
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i))))
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (/.f32 (fma.f32 #s(literal 1/45 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (*.f32 n0_i #s(literal 1/3 binary32))) n1_i)) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u)) n1_i)))
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i))))
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (/.f32 (fma.f32 #s(literal 1/45 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (*.f32 n0_i #s(literal 1/3 binary32))) n1_i)) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u)) n1_i)))
(* -1 (* n1_i (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))))
(neg.f32 (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32))))
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)))))
(*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/45 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u))) (neg.f32 n1_i))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)))))
(*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/45 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u))) (neg.f32 n1_i))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)))))
(*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/45 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u))) (neg.f32 n1_i))) (neg.f32 n1_i))
(* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u)))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u)))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u))
(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)))
(*.f32 u (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) u) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))))
(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)))
(*.f32 u (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) u) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))))
(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)))
(*.f32 u (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) u) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u))
(* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(*.f32 (fma.f32 (neg.f32 (*.f32 normAngle normAngle)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) u) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) (neg.f32 u))
(* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(*.f32 (fma.f32 (neg.f32 (*.f32 normAngle normAngle)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) u) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) (neg.f32 u))
(* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(*.f32 (fma.f32 (neg.f32 (*.f32 normAngle normAngle)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) u) (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) (neg.f32 u))
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(* n0_i (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* 1/45 (* (pow normAngle 2) u)))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i)))))) n0_i)))) u))
(*.f32 n0_i (+.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/45 binary32) (fma.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)) u) #s(literal 1/6 binary32))) (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) n0_i) (/.f32 (*.f32 u n1_i) n0_i))) (-.f32 #s(literal 1 binary32) u)))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* (pow normAngle 2) (+ (* -1/45 (* (pow normAngle 2) u)) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)))))))
(*.f32 (neg.f32 n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/45 binary32) (fma.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)) u) #s(literal -1/6 binary32))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i))))))) n0_i)) (* (pow normAngle 2) (+ (* -1/45 (* (pow normAngle 2) u)) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1))))))))
(*.f32 n0_i (neg.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/45 binary32) (fma.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)) u) #s(literal -1/6 binary32))) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u n1_i)) (neg.f32 n0_i))) (-.f32 #s(literal 1 binary32) u))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i))))))) n0_i)) (* (pow normAngle 2) (+ (* -1/45 (* (pow normAngle 2) u)) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1))))))))
(*.f32 n0_i (neg.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/45 binary32) (fma.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)) u) #s(literal -1/6 binary32))) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u n1_i)) (neg.f32 n0_i))) (-.f32 #s(literal 1 binary32) u))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (* u (+ (* -1/120 n1_i) (* 1/36 n1_i))))))) n0_i)) (* (pow normAngle 2) (+ (* -1/45 (* (pow normAngle 2) u)) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1))))))))
(*.f32 n0_i (neg.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/45 binary32) (fma.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)) u) #s(literal -1/6 binary32))) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u n1_i)) (neg.f32 n0_i))) (-.f32 #s(literal 1 binary32) u))))
n0_i
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))))))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (-.f32 n1_i n0_i)) n0_i)
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))))))
(fma.f32 u (+.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u) (neg.f32 n0_i)))) n0_i)
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i))))))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))))))
(fma.f32 u (+.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (fma.f32 u (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 u (-.f32 n1_i n0_i)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) (neg.f32 n0_i)))) n0_i)
(* -1/6 (* (pow normAngle 2) (* (pow u 3) (+ n1_i (* -1 n0_i)))))
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 n1_i n0_i)))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i))))))
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 n1_i n0_i) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) u)))
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (/ n1_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) (pow u 2)))))))
(*.f32 (*.f32 u (*.f32 u u)) (-.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)) (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 u u)) (/.f32 n1_i (*.f32 u u))))) (/.f32 n0_i (*.f32 u u))))
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (/ n0_i (pow u 3)) (+ (/ n1_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) (pow u 2))))))))
(*.f32 (*.f32 u (*.f32 u u)) (-.f32 (+.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 n1_i n0_i) (/.f32 n0_i (*.f32 u (*.f32 u u))))) (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 u u)) (/.f32 n1_i (*.f32 u u)))) (/.f32 n0_i (*.f32 u u))))
(* 1/6 (* (pow normAngle 2) (* (pow u 3) (+ n0_i (* -1 n1_i)))))
(*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (*.f32 u (*.f32 u u)) (-.f32 n0_i n1_i)))
(* -1 (* (pow u 3) (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u)))))
(*.f32 (neg.f32 (*.f32 u (*.f32 u u))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 n0_i n1_i))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))) (* -1/6 (+ n1_i (* 2 n0_i))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))))))
(*.f32 (neg.f32 (*.f32 u (*.f32 u u))) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (-.f32 n0_i n1_i)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 #s(literal 2 binary32) n0_i n1_i) (*.f32 (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (neg.f32 (*.f32 normAngle normAngle)))) (-.f32 n0_i n1_i)) (neg.f32 u))) (neg.f32 u))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (+ (* -1 (/ n0_i u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))) (* -1/6 (+ n1_i (* 2 n0_i)))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))))))
(neg.f32 (*.f32 (*.f32 u (*.f32 u u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (-.f32 n0_i n1_i)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (/.f32 (+.f32 n0_i (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 #s(literal 2 binary32) n0_i n1_i) (*.f32 (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (neg.f32 (*.f32 normAngle normAngle)))) (-.f32 #s(literal 0 binary32) (/.f32 n0_i u))) n1_i)) (neg.f32 u))) (neg.f32 u)))))
(+ (* n0_i (- 1 u)) (* n1_i u))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(+ (* -1/6 (* (pow normAngle 2) (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))))) (+ (* n0_i (- 1 u)) (* n1_i u)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.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 (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32))))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.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 (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32))))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.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)))
(* (pow normAngle 4) (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))
(*.f32 (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) u) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))))
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 u (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (/.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (*.f32 normAngle normAngle))))
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 normAngle normAngle)) (fma.f32 u (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 u n1_i) (pow.f32 normAngle #s(literal 4 binary32)))))))
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 normAngle normAngle)) (fma.f32 u (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 u n1_i) (pow.f32 normAngle #s(literal 4 binary32)))))))
(* (pow normAngle 4) (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))
(*.f32 (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) u) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))))
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 u (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (/.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (*.f32 normAngle normAngle))))
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 normAngle normAngle)) (fma.f32 u (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 u n1_i) (pow.f32 normAngle #s(literal 4 binary32)))))))
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* u (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 normAngle normAngle)) (fma.f32 u (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 u n1_i) (pow.f32 normAngle #s(literal 4 binary32)))))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 n0_i #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)) u) #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n0_i #s(literal 1/45 binary32)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* 7/360 (* (pow normAngle 2) u)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 n0_i #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)) u) #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n0_i #s(literal 1/45 binary32)))) (fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 7/360 binary32))) u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* 7/360 (* (pow normAngle 2) u)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 n0_i #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)) u) #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n0_i #s(literal 1/45 binary32)))) (fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 7/360 binary32))) u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* 7/360 (* (pow normAngle 2) u)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 n0_i #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)) u) #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n0_i #s(literal 1/45 binary32)))) (fma.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 7/360 binary32))) u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* 7/360 (* (pow normAngle 2) u))))))
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 7/360 binary32))) u))
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* 7/360 (* (pow normAngle 2) u)))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i)))))
(*.f32 n1_i (+.f32 u (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 n0_i #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)) u) #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n0_i #s(literal 1/45 binary32)))) n1_i) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 7/360 binary32))))))))
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* 7/360 (* (pow normAngle 2) u)))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i)))))
(*.f32 n1_i (+.f32 u (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 n0_i #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)) u) #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n0_i #s(literal 1/45 binary32)))) n1_i) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 7/360 binary32))))))))
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* 7/360 (* (pow normAngle 2) u)))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i)))))
(*.f32 n1_i (+.f32 u (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 n0_i #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)) u) #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n0_i #s(literal 1/45 binary32)))) n1_i) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 7/360 binary32))))))))
(* -1 (* n1_i (+ (* -1 u) (* (pow normAngle 2) (+ (* -7/360 (* (pow normAngle 2) u)) (* 1/6 (* u (- (pow u 2) 1))))))))
(*.f32 (neg.f32 n1_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -7/360 binary32))) (neg.f32 u)))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))) n1_i)) (* (pow normAngle 2) (+ (* -7/360 (* (pow normAngle 2) u)) (* 1/6 (* u (- (pow u 2) 1)))))))))
(*.f32 (neg.f32 n1_i) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -7/360 binary32))) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 n0_i #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)) u) #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n0_i #s(literal 1/45 binary32)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (neg.f32 n1_i))) u))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))) n1_i)) (* (pow normAngle 2) (+ (* -7/360 (* (pow normAngle 2) u)) (* 1/6 (* u (- (pow u 2) 1)))))))))
(*.f32 (neg.f32 n1_i) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -7/360 binary32))) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 n0_i #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)) u) #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n0_i #s(literal 1/45 binary32)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (neg.f32 n1_i))) u))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* (pow normAngle 2) (* u (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))) n1_i)) (* (pow normAngle 2) (+ (* -7/360 (* (pow normAngle 2) u)) (* 1/6 (* u (- (pow u 2) 1)))))))))
(*.f32 (neg.f32 n1_i) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -7/360 binary32))) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 n0_i #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)) u) #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n0_i #s(literal 1/45 binary32)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (neg.f32 n1_i))) u))
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u))
(fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))) (*.f32 u n1_i))
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))) u)) (* n1_i u)))
(fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))) (fma.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)) u) #s(literal 1/6 binary32))) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))) (*.f32 u n1_i)))
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))) u)) (* n1_i u)))
(fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))) (fma.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)) u) #s(literal 1/6 binary32))) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))) (*.f32 u n1_i)))
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))) u)) (* n1_i u)))
(fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))) (fma.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)) u) #s(literal 1/6 binary32))) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))) (*.f32 u n1_i)))
(* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))) u))
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))) (fma.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)) u) #s(literal 1/6 binary32))) (-.f32 #s(literal 1 binary32) u)))
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))) (/ (* n1_i u) n0_i)))) u))
(*.f32 n0_i (+.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32)))) n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))) (fma.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)) u) #s(literal 1/6 binary32))) (/.f32 (*.f32 u n1_i) n0_i))) (-.f32 #s(literal 1 binary32) u)))
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))) (/ (* n1_i u) n0_i)))) u))
(*.f32 n0_i (+.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32)))) n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))) (fma.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)) u) #s(literal 1/6 binary32))) (/.f32 (*.f32 u n1_i) n0_i))) (-.f32 #s(literal 1 binary32) u)))
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))) (/ (* n1_i u) n0_i)))) u))
(*.f32 n0_i (+.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32)))) n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))) (fma.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)) u) #s(literal 1/6 binary32))) (/.f32 (*.f32 u n1_i) n0_i))) (-.f32 #s(literal 1 binary32) u)))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)))))))
(neg.f32 (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))) (neg.f32 (*.f32 normAngle normAngle)) (fma.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)) u) #s(literal -1/6 binary32))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) 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)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1))))))))
(neg.f32 (*.f32 n0_i (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))) (neg.f32 (*.f32 normAngle normAngle)) (fma.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)) u) #s(literal -1/6 binary32))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))) (*.f32 u n1_i)) (neg.f32 n0_i))) (-.f32 #s(literal 1 binary32) 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)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1))))))))
(neg.f32 (*.f32 n0_i (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))) (neg.f32 (*.f32 normAngle normAngle)) (fma.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)) u) #s(literal -1/6 binary32))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))) (*.f32 u n1_i)) (neg.f32 n0_i))) (-.f32 #s(literal 1 binary32) 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)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1))))))))
(neg.f32 (*.f32 n0_i (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))) (neg.f32 (*.f32 normAngle normAngle)) (fma.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)) u) #s(literal -1/6 binary32))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))) (*.f32 u n1_i)) (neg.f32 n0_i))) (-.f32 #s(literal 1 binary32) u))))
n0_i
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* 1/45 (* n0_i (pow normAngle 2)))))))))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 #s(literal 1/45 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) (-.f32 n1_i n0_i)) n0_i)
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* 1/45 (* n0_i (pow normAngle 2))))))))))
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 #s(literal 1/45 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u)))) n0_i)
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/18 (* n0_i (pow normAngle 2)))))))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* 1/45 (* n0_i (pow normAngle 2))))))))))
(fma.f32 u (+.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 #s(literal 1/45 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) (fma.f32 u (*.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/18 binary32))) (*.f32 #s(literal -1/2 binary32) n0_i))) (neg.f32 n0_i)))) n0_i)
(* -1/120 (* n0_i (* (pow normAngle 4) (pow u 5))))
(*.f32 #s(literal -1/120 binary32) (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) (pow.f32 u #s(literal 5 binary32))))
(* (pow u 5) (+ (* -1/120 (* n0_i (pow normAngle 4))) (* 1/24 (/ (* n0_i (pow normAngle 4)) u))))
(*.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 #s(literal 1/24 binary32) (*.f32 n0_i (/.f32 (pow.f32 normAngle #s(literal 4 binary32)) u)) (*.f32 (*.f32 #s(literal -1/120 binary32) n0_i) (pow.f32 normAngle #s(literal 4 binary32)))))
(* (pow u 5) (+ (* -1/120 (* n0_i (pow normAngle 4))) (+ (* 1/24 (/ (* n0_i (pow normAngle 4)) u)) (/ (* (pow normAngle 2) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/18 (* n0_i (pow normAngle 2))))) (pow u 2)))))
(*.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/18 binary32))) (*.f32 u u)) (fma.f32 #s(literal 1/24 binary32) (*.f32 n0_i (/.f32 (pow.f32 normAngle #s(literal 4 binary32)) u)) (*.f32 (*.f32 #s(literal -1/120 binary32) n0_i) (pow.f32 normAngle #s(literal 4 binary32))))))
(* (pow u 5) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) (pow u 3))) (+ (* -1/120 (* n0_i (pow normAngle 4))) (+ (* 1/24 (/ (* n0_i (pow normAngle 4)) u)) (/ (* (pow normAngle 2) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/18 (* n0_i (pow normAngle 2))))) (pow u 2))))))
(*.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) (*.f32 u (*.f32 u u))) (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/18 binary32))) (*.f32 u u)) (fma.f32 #s(literal 1/24 binary32) (*.f32 n0_i (/.f32 (pow.f32 normAngle #s(literal 4 binary32)) u)) (*.f32 (*.f32 #s(literal -1/120 binary32) n0_i) (pow.f32 normAngle #s(literal 4 binary32)))))))
(* -1/120 (* n0_i (* (pow normAngle 4) (pow u 5))))
(*.f32 #s(literal -1/120 binary32) (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) (pow.f32 u #s(literal 5 binary32))))
(* -1 (* (pow u 5) (+ (* -1/24 (/ (* n0_i (pow normAngle 4)) u)) (* 1/120 (* n0_i (pow normAngle 4))))))
(*.f32 (fma.f32 #s(literal -1/24 binary32) (*.f32 n0_i (/.f32 (pow.f32 normAngle #s(literal 4 binary32)) u)) (*.f32 (*.f32 n0_i #s(literal 1/120 binary32)) (pow.f32 normAngle #s(literal 4 binary32)))) (-.f32 #s(literal 0 binary32) (pow.f32 u #s(literal 5 binary32))))
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/18 (* n0_i (pow normAngle 2))))) u)) (* 1/24 (* n0_i (pow normAngle 4)))) u)) (* 1/120 (* n0_i (pow normAngle 4))))))
(neg.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (fma.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) #s(literal 1/24 binary32) (/.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (-.f32 n0_i n1_i) (*.f32 #s(literal 1/18 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)))) (neg.f32 u))) (neg.f32 u)))))
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/18 (* n0_i (pow normAngle 2)))))) u)) (* 1/24 (* n0_i (pow normAngle 4)))) u)) (* 1/120 (* n0_i (pow normAngle 4))))))
(neg.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (fma.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) #s(literal 1/24 binary32) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (-.f32 n0_i n1_i) (*.f32 #s(literal 1/18 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) u)) (neg.f32 u))) (neg.f32 u)))))
(+ (* n0_i (- 1 u)) (* n1_i u))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(+ (* -1/6 (* (pow normAngle 2) (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))))) (+ (* n0_i (- 1 u)) (* n1_i u)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.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 (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.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 (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.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 (* (pow normAngle 4) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))
(*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32))))))
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 n0_i (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))) (/.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (*.f32 normAngle normAngle))))
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 n0_i (+.f32 (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 normAngle #s(literal 4 binary32)))) (fma.f32 n1_i (/.f32 u (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (*.f32 normAngle normAngle)))))
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 n0_i (+.f32 (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 normAngle #s(literal 4 binary32)))) (fma.f32 n1_i (/.f32 u (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (*.f32 normAngle normAngle)))))
(* n0_i (* (pow normAngle 4) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))
(*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32))))))
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 n0_i (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))) (/.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (*.f32 normAngle normAngle))))
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 n0_i (+.f32 (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 normAngle #s(literal 4 binary32)))) (fma.f32 n1_i (/.f32 u (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (*.f32 normAngle normAngle)))))
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 n0_i (+.f32 (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 normAngle #s(literal 4 binary32)))) (fma.f32 n1_i (/.f32 u (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (*.f32 normAngle normAngle)))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))))) (fma.f32 n1_i (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))) u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))))) (fma.f32 n1_i (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))) u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))))) (fma.f32 n1_i (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))) u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))
(*.f32 n1_i (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))) u))
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))) n1_i)))))
(*.f32 n1_i (+.f32 u (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))))) n1_i) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))))))))
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))) n1_i)))))
(*.f32 n1_i (+.f32 u (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))))) n1_i) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))))))))
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))) n1_i)))))
(*.f32 n1_i (+.f32 u (fma.f32 (*.f32 normAngle normAngle) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) (+.f32 #s(literal 1/36 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)) u) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32)))))) n1_i) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))))))))
(* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))))
(*.f32 (neg.f32 n1_i) (fma.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))) (neg.f32 u)))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))))) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))))
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(*.f32 u (fma.f32 u (fma.f32 u #s(literal 1/36 binary32) #s(literal -1/12 binary32)) #s(literal 1/18 binary32)))
(* u (+ 1/18 (* u (- (* 1/36 u) 1/12))))
(*.f32 u (fma.f32 u (fma.f32 u #s(literal 1/36 binary32) #s(literal -1/12 binary32)) #s(literal 1/18 binary32)))
(* 1/36 (pow u 3))
(*.f32 #s(literal 1/36 binary32) (*.f32 u (*.f32 u u)))
(* (pow u 3) (- 1/36 (* 1/12 (/ 1 u))))
(*.f32 (*.f32 u (*.f32 u u)) (-.f32 #s(literal 1/36 binary32) (/.f32 #s(literal 1/12 binary32) u)))
(* (pow u 3) (- (+ 1/36 (/ 1/18 (pow u 2))) (* 1/12 (/ 1 u))))
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 u u)) (-.f32 #s(literal 1/36 binary32) (/.f32 #s(literal 1/12 binary32) u))))
(* (pow u 3) (- (+ 1/36 (/ 1/18 (pow u 2))) (* 1/12 (/ 1 u))))
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 u u)) (-.f32 #s(literal 1/36 binary32) (/.f32 #s(literal 1/12 binary32) u))))
(* 1/36 (pow u 3))
(*.f32 #s(literal 1/36 binary32) (*.f32 u (*.f32 u u)))
(* -1 (* (pow u 3) (- (* 1/12 (/ 1 u)) 1/36)))
(*.f32 (*.f32 u (*.f32 u u)) (neg.f32 (+.f32 (/.f32 #s(literal 1/12 binary32) u) #s(literal -1/36 binary32))))
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/18 (/ 1 u)) 1/12) u)) 1/36)))
(*.f32 (neg.f32 (*.f32 u (*.f32 u u))) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/18 binary32) u) #s(literal -1/12 binary32)) (neg.f32 u)) #s(literal -1/36 binary32)))
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/18 (/ 1 u)) 1/12) u)) 1/36)))
(*.f32 (neg.f32 (*.f32 u (*.f32 u u))) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/18 binary32) u) #s(literal -1/12 binary32)) (neg.f32 u)) #s(literal -1/36 binary32)))
(* -4 u)
(*.f32 u #s(literal -4 binary32))
(* u (- (* 10 u) 4))
(*.f32 u (fma.f32 u #s(literal 10 binary32) #s(literal -4 binary32)))
(* u (- (* u (+ 10 (* -10 u))) 4))
(*.f32 u (fma.f32 u (fma.f32 u #s(literal -10 binary32) #s(literal 10 binary32)) #s(literal -4 binary32)))
(* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))
(*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32)))
(* -1 (pow u 5))
(-.f32 #s(literal 0 binary32) (pow.f32 u #s(literal 5 binary32)))
(* (pow u 5) (- (* 5 (/ 1 u)) 1))
(*.f32 (pow.f32 u #s(literal 5 binary32)) (+.f32 (/.f32 #s(literal 5 binary32) u) #s(literal -1 binary32)))
(* (pow u 5) (- (* 5 (/ 1 u)) (+ 1 (/ 10 (pow u 2)))))
(*.f32 (pow.f32 u #s(literal 5 binary32)) (-.f32 (/.f32 #s(literal 5 binary32) u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 10 binary32) (*.f32 u u)))))
(* (pow u 5) (- (+ (* 5 (/ 1 u)) (* 10 (/ 1 (pow u 3)))) (+ 1 (/ 10 (pow u 2)))))
(*.f32 (pow.f32 u #s(literal 5 binary32)) (+.f32 (/.f32 #s(literal 10 binary32) (*.f32 u (*.f32 u u))) (-.f32 (/.f32 #s(literal 5 binary32) u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 10 binary32) (*.f32 u u))))))
(* -1 (pow u 5))
(-.f32 #s(literal 0 binary32) (pow.f32 u #s(literal 5 binary32)))
(* -1 (* (pow u 5) (- 1 (* 5 (/ 1 u)))))
(*.f32 (-.f32 #s(literal 0 binary32) (pow.f32 u #s(literal 5 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -5 binary32) u)))
(* -1 (* (pow u 5) (+ 1 (* -1 (/ (- 5 (* 10 (/ 1 u))) u)))))
(*.f32 (-.f32 #s(literal 0 binary32) (pow.f32 u #s(literal 5 binary32))) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 5 binary32) (/.f32 #s(literal -10 binary32) u)) u)))
(* -1 (* (pow u 5) (+ 1 (* -1 (/ (+ 5 (* -1 (/ (- 10 (* 10 (/ 1 u))) u))) u)))))
(neg.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 5 binary32) (/.f32 (+.f32 #s(literal 10 binary32) (/.f32 #s(literal -10 binary32) u)) u)) u))))
1
#s(literal 1 binary32)
(+ 1 (* -5 u))
(fma.f32 u #s(literal -5 binary32) #s(literal 1 binary32))
(+ 1 (* u (- (* 10 u) 5)))
(fma.f32 u (fma.f32 u #s(literal 10 binary32) #s(literal -5 binary32)) #s(literal 1 binary32))
(+ 1 (* u (- (* u (+ 10 (* -10 u))) 5)))
(fma.f32 u (fma.f32 u (fma.f32 u #s(literal -10 binary32) #s(literal 10 binary32)) #s(literal -5 binary32)) #s(literal 1 binary32))
(* -1 (pow u 5))
(-.f32 #s(literal 0 binary32) (pow.f32 u #s(literal 5 binary32)))
(* (pow u 5) (- (* 5 (/ 1 u)) 1))
(*.f32 (pow.f32 u #s(literal 5 binary32)) (+.f32 (/.f32 #s(literal 5 binary32) u) #s(literal -1 binary32)))
(* (pow u 5) (- (* 5 (/ 1 u)) (+ 1 (/ 10 (pow u 2)))))
(*.f32 (pow.f32 u #s(literal 5 binary32)) (-.f32 (/.f32 #s(literal 5 binary32) u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 10 binary32) (*.f32 u u)))))
(* (pow u 5) (- (+ (* 5 (/ 1 u)) (* 10 (/ 1 (pow u 3)))) (+ 1 (/ 10 (pow u 2)))))
(*.f32 (pow.f32 u #s(literal 5 binary32)) (+.f32 (/.f32 #s(literal 10 binary32) (*.f32 u (*.f32 u u))) (-.f32 (/.f32 #s(literal 5 binary32) u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 10 binary32) (*.f32 u u))))))
(* -1 (pow u 5))
(-.f32 #s(literal 0 binary32) (pow.f32 u #s(literal 5 binary32)))
(* -1 (* (pow u 5) (- 1 (* 5 (/ 1 u)))))
(*.f32 (-.f32 #s(literal 0 binary32) (pow.f32 u #s(literal 5 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -5 binary32) u)))
(* -1 (* (pow u 5) (+ 1 (* -1 (/ (- 5 (* 10 (/ 1 u))) u)))))
(*.f32 (-.f32 #s(literal 0 binary32) (pow.f32 u #s(literal 5 binary32))) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 5 binary32) (/.f32 #s(literal -10 binary32) u)) u)))
(* -1 (* (pow u 5) (+ 1 (* -1 (/ (+ 5 (* -1 (/ (- 10 (* 10 (/ 1 u))) u))) u)))))
(neg.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 5 binary32) (/.f32 (+.f32 #s(literal 10 binary32) (/.f32 #s(literal -10 binary32) u)) u)) u))))

eval853.0ms (4.7%)

Memory
-103.6MiB live, 1 103.9MiB allocated
Compiler

Compiled 197 510 to 12 742 computations (93.5% saved)

prune598.0ms (3.3%)

Memory
-29.9MiB live, 1 191.5MiB allocated
Pruning

43 alts after pruning (40 fresh and 3 done)

PrunedKeptTotal
New3 076263 102
Fresh91423
Picked415
Done022
Total3 089433 132
Accuracy
100.0%
Counts
3 132 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(fma.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))))
99.0%
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle))))
36.1%
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u n1_i))
35.9%
(fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))) (*.f32 u n1_i))
99.0%
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (-.f32 n1_i n0_i)) n0_i)
98.9%
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 #s(literal 1/45 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) (-.f32 n1_i n0_i)) n0_i)
61.0%
(fma.f32 u (fma.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (neg.f32 n0_i)) n0_i)
99.1%
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (/.f32 (*.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) #s(literal -1/120 binary32)) (+.f32 n0_i n1_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i)
99.0%
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (*.f32 n0_i #s(literal -1/30 binary32)) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i)
98.9%
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))))) n0_i)
98.9%
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) n0_i)
97.8%
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u))) n0_i)
98.1%
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))))) n0_i)
97.5%
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
98.3%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (fma.f32 (fma.f32 (+.f32 u #s(literal -1 binary32)) (fma.f32 (+.f32 u #s(literal -1 binary32)) (+.f32 u #s(literal -1 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32)) (fma.f32 (+.f32 u #s(literal -1 binary32)) (+.f32 u #s(literal -1 binary32)) #s(literal 0 binary32)) (+.f32 u #s(literal -1 binary32))) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32)))))) (*.f32 u n1_i)))
98.8%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32))) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32)))))) (*.f32 u n1_i)))
98.7%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i u))))))
60.8%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32))))
60.9%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (*.f32 n0_i #s(literal 1/3 binary32))))))
60.7%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (*.f32 u (*.f32 u u))))))
60.9%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))))))
59.7%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (+.f32 u #s(literal -1 binary32)) (*.f32 u (+.f32 u #s(literal -1 binary32)))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))))))
60.9%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (*.f32 u (fma.f32 u (-.f32 #s(literal 3 binary32) u) #s(literal -2 binary32)))))))
97.4%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
60.9%
(fma.f32 n0_i (neg.f32 u) n0_i)
32.1%
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
99.0%
(+.f32 (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32) (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (*.f32 #s(literal 1/6 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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))))) (fma.f32 #s(literal -1/120 binary32) (neg.f32 u) #s(literal -1/120 binary32))) (fma.f32 #s(literal 1/6 binary32) (neg.f32 u) #s(literal 1/6 binary32)))) #s(literal 1 binary32)) u) n0_i) (*.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i))
98.9%
(+.f32 (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (*.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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal 1 binary32)) u) n0_i) (*.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i))
7.9%
(+.f32 (neg.f32 n0_i) (*.f32 n0_i u))
80.2%
(+.f32 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))
80.5%
(+.f32 n0_i (*.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i))
77.4%
(*.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 (*.f32 u (*.f32 u u)) (sin.f32 normAngle))) (fma.f32 n1_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)) (*.f32 u u)) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))))) (neg.f32 (*.f32 u (*.f32 u u))))
62.6%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
7.9%
(*.f32 (+.f32 u #s(literal -1 binary32)) n0_i)
60.7%
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (neg.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/840 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i #s(literal -7/360 binary32)))) (*.f32 n0_i #s(literal -7/360 binary32)))) (*.f32 n0_i #s(literal 1/6 binary32))) n0_i) normAngle))
60.7%
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
60.5%
(*.f32 u (-.f32 (/.f32 n0_i u) n0_i))
35.9%
(*.f32 n1_i (fma.f32 (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) u))
36.1%
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 7/360 binary32))) u))
61.0%
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/45 binary32) (fma.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)) u) #s(literal 1/6 binary32))) (-.f32 #s(literal 1 binary32) u)))
60.7%
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
8.0%
(*.f32 n0_i (neg.f32 u))
46.7%
n0_i
Compiler

Compiled 2 375 to 1 300 computations (45.3% saved)

simplify575.0ms (3.1%)

Memory
14.8MiB live, 807.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f32 #s(literal 1 binary32) u)
cost-diff32
(fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))
cost-diff64
(+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u)
cost-diff192
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32))) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32)))))) (*.f32 u n1_i)))
cost-diff0
(-.f32 #s(literal 1 binary32) u)
cost-diff96
(-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))
cost-diff128
(fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))
cost-diff224
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))))))
cost-diff0
(*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u))
cost-diff0
(-.f32 n1_i n0_i)
cost-diff0
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u))) n0_i)
cost-diff128
(+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u)))
cost-diff-32
(*.f32 n0_i (neg.f32 u))
cost-diff0
(neg.f32 u)
cost-diff64
(+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (/.f32 (*.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) #s(literal -1/120 binary32)) (+.f32 n0_i n1_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle))))))
cost-diff256
(+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (/.f32 (*.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) #s(literal -1/120 binary32)) (+.f32 n0_i n1_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))
cost-diff320
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (/.f32 (*.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) #s(literal -1/120 binary32)) (+.f32 n0_i n1_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))
cost-diff544
(/.f32 (*.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) #s(literal -1/120 binary32)) (+.f32 n0_i n1_i))
Rules
14 262×accelerator-lowering-fma.f32
14 262×accelerator-lowering-fma.f64
5 710×*-lowering-*.f32
5 710×*-lowering-*.f64
3 434×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092956
1308944
21172918
35533836
08273748
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* u (+ (- n1_i n0_i) (+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle))))))) n0_i)
u
(+ (- n1_i n0_i) (+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle))))))
(- n1_i n0_i)
n1_i
n0_i
(+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle)))))
(* normAngle normAngle)
normAngle
(+ (* (+ (+ (* n0_i -1/24) (/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))
(+ (+ (* n0_i -1/24) (/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i))))
(+ (* n0_i -1/24) (/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i)))
-1/24
(/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i))
(* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120)
(* (+ n0_i n1_i) (- n1_i n0_i))
(+ n0_i n1_i)
-1/120
(* -1/36 (+ (* n0_i -2) (neg n1_i)))
-1/36
(+ (* n0_i -2) (neg n1_i))
-2
(neg n1_i)
(* (+ (* n0_i -2) (neg n1_i)) -1/6)
-1/6
(* -1/2 (* n0_i (* u (* normAngle normAngle))))
-1/2
(* n0_i (* u (* normAngle normAngle)))
(* u (* normAngle normAngle))
(* n0_i (neg u))
n0_i
(neg u)
u
(+ (* u (+ (- n1_i n0_i) (* (* -1/2 n0_i) (* (* normAngle normAngle) u)))) n0_i)
u
(+ (- n1_i n0_i) (* (* -1/2 n0_i) (* (* normAngle normAngle) u)))
(- n1_i n0_i)
n1_i
n0_i
(* (* -1/2 n0_i) (* (* normAngle normAngle) u))
(* -1/2 n0_i)
-1/2
(* (* normAngle normAngle) u)
(* normAngle normAngle)
normAngle
(+ (* n0_i (- 1 u)) (* (* normAngle normAngle) (* -1/6 (* n0_i (+ (* (- 1 u) (+ (* u -2) 1)) (- 0 (- 1 u)))))))
n0_i
(- 1 u)
1
u
(* (* normAngle normAngle) (* -1/6 (* n0_i (+ (* (- 1 u) (+ (* u -2) 1)) (- 0 (- 1 u))))))
(* normAngle normAngle)
normAngle
(* -1/6 (* n0_i (+ (* (- 1 u) (+ (* u -2) 1)) (- 0 (- 1 u)))))
-1/6
(* n0_i (+ (* (- 1 u) (+ (* u -2) 1)) (- 0 (- 1 u))))
(+ (* (- 1 u) (+ (* u -2) 1)) (- 0 (- 1 u)))
(+ (* u -2) 1)
-2
(- 0 (- 1 u))
0
(+ (* n0_i (- 1 u)) (+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* n0_i (+ (* 1/120 (* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))))) (* u n1_i)))
n0_i
(- 1 u)
1
u
(+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* n0_i (+ (* 1/120 (* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))))) (* u n1_i))
(* normAngle normAngle)
normAngle
(+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* n0_i (+ (* 1/120 (* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))))
-1/6
(+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))
(+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)
(+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1)
(* (- 1 u) (- 1 u))
-1
(* n1_i (* u (+ (* u u) -1)))
n1_i
(* u (+ (* u u) -1))
(+ (* u u) -1)
(* (* normAngle normAngle) (* n0_i (+ (* 1/120 (* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36))))
(* n0_i (+ (* 1/120 (* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))
(+ (* 1/120 (* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36))
1/120
(* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4))
(+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4)
(+ (* u (+ (* u 5) -10)) 10)
(+ (* u 5) -10)
5
-10
10
-4
(+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)
(+ (* (- 1 u) (* (- 1 u) (- 1 u))) u)
-1/36
1/36
(* u n1_i)
Outputs
(+ (* u (+ (- n1_i n0_i) (+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle))))))) n0_i)
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (*.f32 n0_i #s(literal -1/2 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/36 binary32) (fma.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32)) #s(literal 1 binary32) (*.f32 n0_i #s(literal 1/72 binary32)))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))) (-.f32 n1_i n0_i)) n0_i)
u
(+ (- n1_i n0_i) (+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (*.f32 n0_i #s(literal -1/2 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/36 binary32) (fma.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32)) #s(literal 1 binary32) (*.f32 n0_i #s(literal 1/72 binary32)))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))) (-.f32 n1_i n0_i))
(- n1_i n0_i)
(-.f32 n1_i n0_i)
n1_i
n0_i
(+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle)))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 u (*.f32 n0_i #s(literal -1/2 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/36 binary32) (fma.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32)) #s(literal 1 binary32) (*.f32 n0_i #s(literal 1/72 binary32)))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))))
(* normAngle normAngle)
(*.f32 normAngle normAngle)
normAngle
(+ (* (+ (+ (* n0_i -1/24) (/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/36 binary32) (fma.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32)) #s(literal 1 binary32) (*.f32 n0_i #s(literal 1/72 binary32)))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))
(+ (+ (* n0_i -1/24) (/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i))))
(fma.f32 n1_i #s(literal 1/36 binary32) (fma.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32)) #s(literal 1 binary32) (*.f32 n0_i #s(literal 1/72 binary32))))
(+ (* n0_i -1/24) (/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i)))
(fma.f32 #s(literal -1/120 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1 binary32)) (*.f32 n0_i #s(literal -1/24 binary32)))
-1/24
#s(literal -1/24 binary32)
(/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i))
(*.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32)) #s(literal 1 binary32))
(* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120)
(*.f32 (-.f32 n1_i n0_i) (*.f32 (+.f32 n1_i n0_i) #s(literal -1/120 binary32)))
(* (+ n0_i n1_i) (- n1_i n0_i))
(*.f32 (-.f32 n1_i n0_i) (+.f32 n1_i n0_i))
(+ n0_i n1_i)
(+.f32 n1_i n0_i)
-1/120
#s(literal -1/120 binary32)
(* -1/36 (+ (* n0_i -2) (neg n1_i)))
(fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n1_i #s(literal 1/36 binary32)))
-1/36
#s(literal -1/36 binary32)
(+ (* n0_i -2) (neg n1_i))
(fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))
-2
#s(literal -2 binary32)
(neg n1_i)
(neg.f32 n1_i)
(* (+ (* n0_i -2) (neg n1_i)) -1/6)
(fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))
-1/6
#s(literal -1/6 binary32)
(* -1/2 (* n0_i (* u (* normAngle normAngle))))
(*.f32 u (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32))))
-1/2
#s(literal -1/2 binary32)
(* n0_i (* u (* normAngle normAngle)))
(*.f32 u (*.f32 n0_i (*.f32 normAngle normAngle)))
(* u (* normAngle normAngle))
(*.f32 u (*.f32 normAngle normAngle))
(* n0_i (neg u))
(-.f32 #s(literal 0 binary32) (*.f32 u n0_i))
n0_i
(neg u)
(neg.f32 u)
u
(+ (* u (+ (- n1_i n0_i) (* (* -1/2 n0_i) (* (* normAngle normAngle) u)))) n0_i)
(fma.f32 u (fma.f32 n0_i (fma.f32 u (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)) #s(literal -1 binary32)) n1_i) n0_i)
u
(+ (- n1_i n0_i) (* (* -1/2 n0_i) (* (* normAngle normAngle) u)))
(fma.f32 n0_i (fma.f32 u (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)) #s(literal -1 binary32)) n1_i)
(- n1_i n0_i)
(-.f32 n1_i n0_i)
n1_i
n0_i
(* (* -1/2 n0_i) (* (* normAngle normAngle) u))
(*.f32 u (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32))))
(* -1/2 n0_i)
(*.f32 n0_i #s(literal -1/2 binary32))
-1/2
#s(literal -1/2 binary32)
(* (* normAngle normAngle) u)
(*.f32 u (*.f32 normAngle normAngle))
(* normAngle normAngle)
(*.f32 normAngle normAngle)
normAngle
(+ (* n0_i (- 1 u)) (* (* normAngle normAngle) (* -1/6 (* n0_i (+ (* (- 1 u) (+ (* u -2) 1)) (- 0 (- 1 u)))))))
(*.f32 n0_i (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 #s(literal -2 binary32) (*.f32 u (-.f32 #s(literal 1 binary32) u)) #s(literal 0 binary32)) #s(literal 0 binary32)) #s(literal 1 binary32)) u))
n0_i
(- 1 u)
(-.f32 #s(literal 1 binary32) u)
1
#s(literal 1 binary32)
u
(* (* normAngle normAngle) (* -1/6 (* n0_i (+ (* (- 1 u) (+ (* u -2) 1)) (- 0 (- 1 u))))))
(fma.f32 normAngle (fma.f32 (fma.f32 n0_i (fma.f32 #s(literal -2 binary32) (*.f32 u (-.f32 #s(literal 1 binary32) u)) #s(literal 0 binary32)) #s(literal 0 binary32)) (*.f32 normAngle #s(literal -1/6 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32))
(* normAngle normAngle)
(*.f32 normAngle normAngle)
normAngle
(* -1/6 (* n0_i (+ (* (- 1 u) (+ (* u -2) 1)) (- 0 (- 1 u)))))
(fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (fma.f32 #s(literal -2 binary32) (*.f32 u (-.f32 #s(literal 1 binary32) u)) #s(literal 0 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32))
-1/6
#s(literal -1/6 binary32)
(* n0_i (+ (* (- 1 u) (+ (* u -2) 1)) (- 0 (- 1 u))))
(fma.f32 n0_i (fma.f32 #s(literal -2 binary32) (*.f32 u (-.f32 #s(literal 1 binary32) u)) #s(literal 0 binary32)) #s(literal 0 binary32))
(+ (* (- 1 u) (+ (* u -2) 1)) (- 0 (- 1 u)))
(fma.f32 #s(literal -2 binary32) (*.f32 u (-.f32 #s(literal 1 binary32) u)) #s(literal 0 binary32))
(+ (* u -2) 1)
(fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32))
-2
#s(literal -2 binary32)
(- 0 (- 1 u))
(+.f32 u #s(literal -1 binary32))
0
#s(literal 0 binary32)
(+ (* n0_i (- 1 u)) (+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* n0_i (+ (* 1/120 (* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))))) (* u n1_i)))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 u (fma.f32 (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) (*.f32 u #s(literal 1/120 binary32)) #s(literal -1/30 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)) u) #s(literal 1/36 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) #s(literal 0 binary32)))) (*.f32 u (*.f32 (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))) #s(literal -1/6 binary32)))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
n0_i
(- 1 u)
(-.f32 #s(literal 1 binary32) u)
1
#s(literal 1 binary32)
u
(+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* n0_i (+ (* 1/120 (* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))))) (* u n1_i))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 u (fma.f32 (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) (*.f32 u #s(literal 1/120 binary32)) #s(literal -1/30 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)) u) #s(literal 1/36 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) #s(literal 0 binary32)))) (*.f32 u (*.f32 (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))) #s(literal -1/6 binary32)))) (fma.f32 u n1_i #s(literal 0 binary32)))
(* normAngle normAngle)
(*.f32 normAngle normAngle)
normAngle
(+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* n0_i (+ (* 1/120 (* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))))
(fma.f32 n0_i (fma.f32 normAngle (*.f32 normAngle (fma.f32 u (fma.f32 (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) (*.f32 u #s(literal 1/120 binary32)) #s(literal -1/30 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)) u) #s(literal 1/36 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) #s(literal 0 binary32)))) (*.f32 u (*.f32 (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))) #s(literal -1/6 binary32))))
-1/6
#s(literal -1/6 binary32)
(+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))
(fma.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (fma.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))) #s(literal 0 binary32)))
(+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)
(fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) #s(literal 0 binary32))
(+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1)
(fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))
(* (- 1 u) (- 1 u))
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))
-1
#s(literal -1 binary32)
(* n1_i (* u (+ (* u u) -1)))
(fma.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32))) #s(literal 0 binary32))
n1_i
(* u (+ (* u u) -1))
(fma.f32 u (fma.f32 u u #s(literal -1 binary32)) #s(literal 0 binary32))
(+ (* u u) -1)
(fma.f32 u u #s(literal -1 binary32))
(* (* normAngle normAngle) (* n0_i (+ (* 1/120 (* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36))))
(*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) (*.f32 u #s(literal 1/120 binary32)) #s(literal -1/30 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)) u) #s(literal 1/36 binary32)))))
(* n0_i (+ (* 1/120 (* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))
(*.f32 n0_i (fma.f32 u (fma.f32 (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) (*.f32 u #s(literal 1/120 binary32)) #s(literal -1/30 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)) u) #s(literal 1/36 binary32))))
(+ (* 1/120 (* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36))
(fma.f32 u (fma.f32 (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) (*.f32 u #s(literal 1/120 binary32)) #s(literal -1/30 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)) u) #s(literal 1/36 binary32)))
1/120
#s(literal 1/120 binary32)
(* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4))
(*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32)))
(+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4)
(fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32))
(+ (* u (+ (* u 5) -10)) 10)
(fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32))
(+ (* u 5) -10)
(fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32))
5
#s(literal 5 binary32)
-10
#s(literal -10 binary32)
10
#s(literal 10 binary32)
-4
#s(literal -4 binary32)
(+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)
(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)) u) #s(literal 1/36 binary32))
(+ (* (- 1 u) (* (- 1 u) (- 1 u))) u)
(fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u)
-1/36
#s(literal -1/36 binary32)
1/36
#s(literal 1/36 binary32)
(* u n1_i)
(fma.f32 u n1_i #s(literal 0 binary32))

localize469.0ms (2.6%)

Memory
-1.0MiB live, 601.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy98.6%
(+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u)
accuracy97.3%
(fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32))) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32)))
accuracy61.7%
(fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))
accuracy60.7%
(fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32))
accuracy99.5%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))))))
accuracy99.3%
(*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u))))
accuracy99.1%
(*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))))
accuracy60.5%
(fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))
accuracy100.0%
(+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u)))
accuracy99.9%
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u))) n0_i)
accuracy99.9%
(*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u))
accuracy99.7%
(*.f32 (*.f32 normAngle normAngle) u)
accuracy100.0%
(*.f32 n0_i (neg.f32 u))
accuracy100.0%
(neg.f32 u)
accuracy98.9%
(*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))
accuracy98.7%
(*.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) #s(literal -1/120 binary32))
accuracy98.5%
(+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (/.f32 (*.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) #s(literal -1/120 binary32)) (+.f32 n0_i n1_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))
accuracy78.6%
(/.f32 (*.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) #s(literal -1/120 binary32)) (+.f32 n0_i n1_i))
Samples
249.0ms254×0valid
2.0ms2valid
Compiler

Compiled 956 to 94 computations (90.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 163.0ms
ival-mult: 96.0ms (58.9% of total)
ival-add: 39.0ms (23.9% of total)
const: 18.0ms (11% of total)
ival-sub: 4.0ms (2.5% of total)
ival-div: 2.0ms (1.2% of total)
ival-neg: 2.0ms (1.2% of total)
exact: 1.0ms (0.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series85.0ms (0.5%)

Memory
23.0MiB live, 100.3MiB allocated
Counts
25 → 660
Calls
Call 1
Inputs
#<alt (/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i))>
#<alt (+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle)))))>
#<alt (+ (+ (* n0_i -1/24) (/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i))))>
#<alt (+ (- n1_i n0_i) (+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle))))))>
#<alt (neg u)>
#<alt (* n0_i (neg u))>
#<alt (+ (- n1_i n0_i) (* (* -1/2 n0_i) (* (* normAngle normAngle) u)))>
#<alt (+ (* u (+ (- n1_i n0_i) (* (* -1/2 n0_i) (* (* normAngle normAngle) u)))) n0_i)>
#<alt (- n1_i n0_i)>
#<alt (* (* -1/2 n0_i) (* (* normAngle normAngle) u))>
#<alt (+ (* n0_i (- 1 u)) (* (* normAngle normAngle) (* -1/6 (* n0_i (+ (* (- 1 u) (+ (* u -2) 1)) (- 0 (- 1 u)))))))>
#<alt (+ (* (- 1 u) (+ (* u -2) 1)) (- 0 (- 1 u)))>
#<alt (- 0 (- 1 u))>
#<alt (- 1 u)>
#<alt (+ (* n0_i (- 1 u)) (+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* n0_i (+ (* 1/120 (* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))))) (* u n1_i)))>
#<alt (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)>
#<alt (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))>
#<alt (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120)>
#<alt (* (+ (* n0_i -2) (neg n1_i)) -1/6)>
#<alt (* (* normAngle normAngle) u)>
#<alt (* -1/6 (* n0_i (+ (* (- 1 u) (+ (* u -2) 1)) (- 0 (- 1 u)))))>
#<alt (* n0_i (+ (* (- 1 u) (+ (* u -2) 1)) (- 0 (- 1 u))))>
#<alt (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)>
#<alt (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1)>
#<alt (+ (* 1/120 (* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36))>
Outputs
#<alt (* -1/120 n1_i)>
#<alt (+ (* -1/120 n1_i) (* 1/120 n0_i))>
#<alt (+ (* -1/120 n1_i) (* 1/120 n0_i))>
#<alt (+ (* -1/120 n1_i) (* 1/120 n0_i))>
#<alt (* 1/120 n0_i)>
#<alt (* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i))))>
#<alt (* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i))))>
#<alt (* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i))))>
#<alt (* 1/120 n0_i)>
#<alt (* -1 (* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120)))>
#<alt (* -1 (* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120)))>
#<alt (* -1 (* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120)))>
#<alt (* 1/120 n0_i)>
#<alt (+ (* -1/120 n1_i) (* 1/120 n0_i))>
#<alt (+ (* -1/120 n1_i) (* 1/120 n0_i))>
#<alt (+ (* -1/120 n1_i) (* 1/120 n0_i))>
#<alt (* -1/120 n1_i)>
#<alt (* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120))>
#<alt (* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120))>
#<alt (* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120))>
#<alt (* -1/120 n1_i)>
#<alt (* -1 (* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i)))))>
#<alt (* -1 (* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i)))))>
#<alt (* -1 (* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i)))))>
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -2 n0_i) n1_i))))>
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))>
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))>
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))>
#<alt (* (pow normAngle 4) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))>
#<alt (* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))>
#<alt (* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))>
#<alt (* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))>
#<alt (* (pow normAngle 4) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))>
#<alt (* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))>
#<alt (* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))>
#<alt (* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))>
#<alt (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))>
#<alt (+ (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))))>
#<alt (+ (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))))>
#<alt (+ (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))))>
#<alt (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2))))))>
#<alt (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i))))>
#<alt (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i))))>
#<alt (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i))))>
#<alt (* -1 (* n0_i (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3)))))>
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#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))))>
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))))>
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))))>
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#<alt (* -1 (* n1_i (+ (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))>
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))>
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))>
#<alt (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
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#<alt (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)))>
#<alt (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)))>
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#<alt (* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))>
#<alt (* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))>
#<alt (* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))>
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#<alt (- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n0_i)>
#<alt (- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))) n0_i)>
#<alt (- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))) n0_i)>
#<alt (- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))) n0_i)>
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#<alt (* n1_i (- (+ 1 (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i)))) (/ n0_i n1_i)))>
#<alt (* n1_i (- (+ 1 (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i)))) (/ n0_i n1_i)))>
#<alt (* n1_i (- (+ 1 (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i)))) (/ n0_i n1_i)))>
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#<alt (* -1 (* n1_i (- (+ (* -1 (/ (- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n0_i) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))) 1)))>
#<alt (* -1 (* n1_i (- (+ (* -1 (/ (- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n0_i) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))) 1)))>
#<alt (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))))>
#<alt (+ n1_i (+ (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2))))) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))))>
#<alt (+ n1_i (+ (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2))))) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))))>
#<alt (+ n1_i (+ (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2))))) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))))>
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#<alt (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)))) 1))>
#<alt (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)))) 1))>
#<alt (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)))) 1))>
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#<alt (* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3)))))))>
#<alt (* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3)))))))>
#<alt (- n1_i n0_i)>
#<alt (- (+ n1_i (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -2 n0_i) n1_i))))) n0_i)>
#<alt (- (+ n1_i (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))) n0_i)>
#<alt (- (+ n1_i (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))) n0_i)>
#<alt (* (pow normAngle 4) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))>
#<alt (* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))>
#<alt (* (pow normAngle 4) (- (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (/ n1_i (pow normAngle 4))))))) (/ n0_i (pow normAngle 4))))>
#<alt (* (pow normAngle 4) (- (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (/ n1_i (pow normAngle 4))))))) (/ n0_i (pow normAngle 4))))>
#<alt (* (pow normAngle 4) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))>
#<alt (* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))>
#<alt (* (pow normAngle 4) (- (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (/ n1_i (pow normAngle 4))))))) (/ n0_i (pow normAngle 4))))>
#<alt (* (pow normAngle 4) (- (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (/ n1_i (pow normAngle 4))))))) (/ n0_i (pow normAngle 4))))>
#<alt (- (+ n1_i (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) n0_i)>
#<alt (- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))) n0_i)>
#<alt (- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))) n0_i)>
#<alt (- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))) n0_i)>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u))) (/ n0_i u)))>
#<alt (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u))) (/ n0_i u)))>
#<alt (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u))) (/ n0_i u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1 (* u (+ (* -1 (/ (- (+ n1_i (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2))))))>
#<alt (* -1 (* u (+ (* -1 (/ (- (+ n1_i (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2))))))>
#<alt (* -1 (* u (+ (* -1 (/ (- (+ n1_i (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2))))))>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* -1 u)>
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#<alt (* -1 u)>
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#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i)>
#<alt (- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i)>
#<alt (- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i)>
#<alt (- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i)>
#<alt n1_i>
#<alt (* n1_i (- (+ 1 (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i))) (/ n0_i n1_i)))>
#<alt (* n1_i (- (+ 1 (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i))) (/ n0_i n1_i)))>
#<alt (* n1_i (- (+ 1 (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i))) (/ n0_i n1_i)))>
#<alt n1_i>
#<alt (* -1 (* n1_i (- (* -1 (/ (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i) n1_i)) 1)))>
#<alt (* -1 (* n1_i (- (* -1 (/ (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i) n1_i)) 1)))>
#<alt (* -1 (* n1_i (- (* -1 (/ (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i) n1_i)) 1)))>
#<alt n1_i>
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#<alt (+ n1_i (* n0_i (- (* -1/2 (* (pow normAngle 2) u)) 1)))>
#<alt (+ n1_i (* n0_i (- (* -1/2 (* (pow normAngle 2) u)) 1)))>
#<alt (* n0_i (- (* -1/2 (* (pow normAngle 2) u)) 1))>
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#<alt (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (/ n1_i n0_i)) 1))>
#<alt (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (/ n1_i n0_i)) 1))>
#<alt (* -1 (* n0_i (+ 1 (* 1/2 (* (pow normAngle 2) u)))))>
#<alt (* -1 (* n0_i (+ 1 (+ (* -1 (/ n1_i n0_i)) (* 1/2 (* (pow normAngle 2) u))))))>
#<alt (* -1 (* n0_i (+ 1 (+ (* -1 (/ n1_i n0_i)) (* 1/2 (* (pow normAngle 2) u))))))>
#<alt (* -1 (* n0_i (+ 1 (+ (* -1 (/ n1_i n0_i)) (* 1/2 (* (pow normAngle 2) u))))))>
#<alt (- n1_i n0_i)>
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#<alt (- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i)>
#<alt (- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i)>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2))))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2))))>
#<alt (- n1_i n0_i)>
#<alt (- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i)>
#<alt (- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i)>
#<alt (- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i)>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ n1_i u)) (/ n0_i u)))>
#<alt (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ n1_i u)) (/ n0_i u)))>
#<alt (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ n1_i u)) (/ n0_i u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1 (* u (+ (* -1 (/ (- n1_i n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2))))))>
#<alt (* -1 (* u (+ (* -1 (/ (- n1_i n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2))))))>
#<alt (* -1 (* u (+ (* -1 (/ (- n1_i n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2))))))>
#<alt n0_i>
#<alt (+ n0_i (* u (- n1_i n0_i)))>
#<alt (+ n0_i (* u (- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i)))>
#<alt (+ n0_i (* u (- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))>
#<alt (* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ n1_i u)) (/ n0_i u)))>
#<alt (* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ n1_i u))) (/ n0_i u)))>
#<alt (* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ n1_i u))) (/ n0_i u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))>
#<alt (* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ n1_i u)) (/ n0_i u)))>
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#<alt (+ n0_i (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i)))>
#<alt (+ n0_i (+ (* n1_i u) (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i))))>
#<alt (+ n0_i (+ (* n1_i u) (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i))))>
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#<alt (* n1_i u)>
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#<alt (* n1_i u)>
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#<alt (* n1_i u)>
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#<alt (* -1 (* n0_i (- (* u (+ 1 (* 1/2 (* (pow normAngle 2) u)))) 1)))>
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#<alt (* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))>
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#<alt (* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))>
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#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i (pow u 2))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))>
#<alt (* -1 n0_i)>
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#<alt n1_i>
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#<alt n1_i>
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#<alt (* -1 (* n1_i (- (/ n0_i n1_i) 1)))>
#<alt n1_i>
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#<alt (+ n1_i (* -1 n0_i))>
#<alt (* -1 n0_i)>
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#<alt (* n0_i (- (/ n1_i n0_i) 1))>
#<alt (* -1 n0_i)>
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#<alt (* -1 (* n0_i (+ 1 (* -1 (/ n1_i n0_i)))))>
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#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
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#<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 (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))) u))>
#<alt (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))) u))>
#<alt (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))) u))>
#<alt (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))) u))>
#<alt (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))) u))>
#<alt (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))) u))>
#<alt (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))) u))>
#<alt (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))) u))>
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* 1/6 (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))))))>
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* 1/6 (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))))))>
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* 1/6 (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))))))>
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* 1/6 (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))))))>
#<alt n0_i>
#<alt (+ n0_i (* u (+ (* -1 n0_i) (* 1/3 (* n0_i (pow normAngle 2))))))>
#<alt (+ n0_i (* u (+ (* -1 n0_i) (+ (* -1/3 (* n0_i (* (pow normAngle 2) u))) (* 1/3 (* n0_i (pow normAngle 2)))))))>
#<alt (+ n0_i (* u (+ (* -1 n0_i) (+ (* -1/3 (* n0_i (* (pow normAngle 2) u))) (* 1/3 (* n0_i (pow normAngle 2)))))))>
#<alt (* -1/3 (* n0_i (* (pow normAngle 2) (pow u 2))))>
#<alt (* (pow u 2) (+ (* -1 (/ n0_i u)) (+ (* -1/3 (* n0_i (pow normAngle 2))) (* 1/3 (/ (* n0_i (pow normAngle 2)) u)))))>
#<alt (* (pow u 2) (+ (* -1 (/ n0_i u)) (+ (* -1/3 (* n0_i (pow normAngle 2))) (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 2))))))>
#<alt (* (pow u 2) (+ (* -1 (/ n0_i u)) (+ (* -1/3 (* n0_i (pow normAngle 2))) (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 2))))))>
#<alt (* -1/3 (* n0_i (* (pow normAngle 2) (pow u 2))))>
#<alt (* (pow u 2) (+ (* -1 (/ (+ n0_i (* -1/3 (* n0_i (pow normAngle 2)))) u)) (* -1/3 (* n0_i (pow normAngle 2)))))>
#<alt (* (pow u 2) (+ (* -1 (/ (+ n0_i (+ (* -1 (/ n0_i u)) (* -1/3 (* n0_i (pow normAngle 2))))) u)) (* -1/3 (* n0_i (pow normAngle 2)))))>
#<alt (* (pow u 2) (+ (* -1 (/ (+ n0_i (+ (* -1 (/ n0_i u)) (* -1/3 (* n0_i (pow normAngle 2))))) u)) (* -1/3 (* n0_i (pow normAngle 2)))))>
#<alt (* n0_i (- 1 u))>
#<alt (+ (* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))) (* n0_i (- 1 u)))>
#<alt (+ (* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))) (* n0_i (- 1 u)))>
#<alt (+ (* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))) (* n0_i (- 1 u)))>
#<alt (* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))>
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#<alt (* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))) n1_i)))))>
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#<alt (* (pow n0_i 2) (+ 1/120 (* -1/120 (/ (+ n1_i (* -1 n1_i)) n0_i))))>
#<alt (* (pow n0_i 2) (+ 1/120 (+ (* -1/120 (/ (+ n1_i (* -1 n1_i)) n0_i)) (* -1/120 (/ (pow n1_i 2) (pow n0_i 2))))))>
#<alt (* (pow n0_i 2) (+ 1/120 (+ (* -1/120 (/ (+ n1_i (* -1 n1_i)) n0_i)) (* -1/120 (/ (pow n1_i 2) (pow n0_i 2))))))>
#<alt (* 1/120 (pow n0_i 2))>
#<alt (* (pow n0_i 2) (+ 1/120 (* 1/120 (/ (+ n1_i (* -1 n1_i)) n0_i))))>
#<alt (* (pow n0_i 2) (+ 1/120 (* -1 (/ (+ (* -1/120 (+ n1_i (* -1 n1_i))) (* 1/120 (/ (pow n1_i 2) n0_i))) n0_i))))>
#<alt (* (pow n0_i 2) (+ 1/120 (* -1 (/ (+ (* -1/120 (+ n1_i (* -1 n1_i))) (* 1/120 (/ (pow n1_i 2) n0_i))) n0_i))))>
#<alt (* 1/120 (pow n0_i 2))>
#<alt (+ (* -1/120 (* n1_i (+ n0_i (* -1 n0_i)))) (* 1/120 (pow n0_i 2)))>
#<alt (+ (* 1/120 (pow n0_i 2)) (* n1_i (+ (* -1/120 n1_i) (* -1/120 (+ n0_i (* -1 n0_i))))))>
#<alt (+ (* 1/120 (pow n0_i 2)) (* n1_i (+ (* -1/120 n1_i) (* -1/120 (+ n0_i (* -1 n0_i))))))>
#<alt (* -1/120 (pow n1_i 2))>
#<alt (* (pow n1_i 2) (- (* -1/120 (/ (+ n0_i (* -1 n0_i)) n1_i)) 1/120))>
#<alt (* (pow n1_i 2) (- (+ (* -1/120 (/ (+ n0_i (* -1 n0_i)) n1_i)) (* 1/120 (/ (pow n0_i 2) (pow n1_i 2)))) 1/120))>
#<alt (* (pow n1_i 2) (- (+ (* -1/120 (/ (+ n0_i (* -1 n0_i)) n1_i)) (* 1/120 (/ (pow n0_i 2) (pow n1_i 2)))) 1/120))>
#<alt (* -1/120 (pow n1_i 2))>
#<alt (* (pow n1_i 2) (- (* -1/120 (/ (+ n0_i (* -1 n0_i)) n1_i)) 1/120))>
#<alt (* (pow n1_i 2) (- (* -1 (/ (+ (* -1/120 (/ (pow n0_i 2) n1_i)) (* 1/120 (+ n0_i (* -1 n0_i)))) n1_i)) 1/120))>
#<alt (* (pow n1_i 2) (- (* -1 (/ (+ (* -1/120 (/ (pow n0_i 2) n1_i)) (* 1/120 (+ n0_i (* -1 n0_i)))) n1_i)) 1/120))>
#<alt (* 1/6 n1_i)>
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))>
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))>
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))>
#<alt (* 1/3 n0_i)>
#<alt (* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))>
#<alt (* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))>
#<alt (* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))>
#<alt (* 1/3 n0_i)>
#<alt (* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))>
#<alt (* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))>
#<alt (* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))>
#<alt (* 1/3 n0_i)>
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))>
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))>
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))>
#<alt (* 1/6 n1_i)>
#<alt (* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))>
#<alt (* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))>
#<alt (* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))>
#<alt (* 1/6 n1_i)>
#<alt (* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))>
#<alt (* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))>
#<alt (* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))>
#<alt (* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))>
#<alt (* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))>
#<alt (* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))>
#<alt (* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))>
#<alt (* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))>
#<alt (* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))>
#<alt (* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))>
#<alt (* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))>
#<alt (* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))>
#<alt (* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))>
#<alt (* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))>
#<alt (* 1/3 (* n0_i u))>
#<alt (* u (+ (* -1/3 (* n0_i u)) (* 1/3 n0_i)))>
#<alt (* u (+ (* -1/3 (* n0_i u)) (* 1/3 n0_i)))>
#<alt (* u (+ (* -1/3 (* n0_i u)) (* 1/3 n0_i)))>
#<alt (* -1/3 (* n0_i (pow u 2)))>
#<alt (* (pow u 2) (+ (* -1/3 n0_i) (* 1/3 (/ n0_i u))))>
#<alt (* (pow u 2) (+ (* -1/3 n0_i) (* 1/3 (/ n0_i u))))>
#<alt (* (pow u 2) (+ (* -1/3 n0_i) (* 1/3 (/ n0_i u))))>
#<alt (* -1/3 (* n0_i (pow u 2)))>
#<alt (* (pow u 2) (+ (* -1/3 n0_i) (* 1/3 (/ n0_i u))))>
#<alt (* (pow u 2) (+ (* -1/3 n0_i) (* 1/3 (/ n0_i u))))>
#<alt (* (pow u 2) (+ (* -1/3 n0_i) (* 1/3 (/ n0_i u))))>
#<alt (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))>
#<alt (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))>
#<alt (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))>
#<alt (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))>
#<alt (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))>
#<alt (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))>
#<alt (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))>
#<alt (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))>
#<alt (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))>
#<alt (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))>
#<alt (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))>
#<alt (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))>
#<alt (* -2 (* n0_i u))>
#<alt (* u (+ (* -2 n0_i) (* 2 (* n0_i u))))>
#<alt (* u (+ (* -2 n0_i) (* 2 (* n0_i u))))>
#<alt (* u (+ (* -2 n0_i) (* 2 (* n0_i u))))>
#<alt (* 2 (* n0_i (pow u 2)))>
#<alt (* (pow u 2) (+ (* -2 (/ n0_i u)) (* 2 n0_i)))>
#<alt (* (pow u 2) (+ (* -2 (/ n0_i u)) (* 2 n0_i)))>
#<alt (* (pow u 2) (+ (* -2 (/ n0_i u)) (* 2 n0_i)))>
#<alt (* 2 (* n0_i (pow u 2)))>
#<alt (* (pow u 2) (+ (* -2 (/ n0_i u)) (* 2 n0_i)))>
#<alt (* (pow u 2) (+ (* -2 (/ n0_i u)) (* 2 n0_i)))>
#<alt (* (pow u 2) (+ (* -2 (/ n0_i u)) (* 2 n0_i)))>
#<alt (* 1/18 u)>
#<alt (* u (+ 1/18 (* -1/12 u)))>
#<alt (* u (+ 1/18 (* u (- (* 1/36 u) 1/12))))>
#<alt (* u (+ 1/18 (* u (- (* 1/36 u) 1/12))))>
#<alt (* 1/36 (pow u 3))>
#<alt (* (pow u 3) (- 1/36 (* 1/12 (/ 1 u))))>
#<alt (* (pow u 3) (- (+ 1/36 (/ 1/18 (pow u 2))) (* 1/12 (/ 1 u))))>
#<alt (* (pow u 3) (- (+ 1/36 (/ 1/18 (pow u 2))) (* 1/12 (/ 1 u))))>
#<alt (* 1/36 (pow u 3))>
#<alt (* -1 (* (pow u 3) (- (* 1/12 (/ 1 u)) 1/36)))>
#<alt (* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/18 (/ 1 u)) 1/12) u)) 1/36)))>
#<alt (* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/18 (/ 1 u)) 1/12) u)) 1/36)))>
#<alt (* -3 u)>
#<alt (* u (- (* 3 u) 3))>
#<alt (* u (- (* u (+ 3 (* -1 u))) 3))>
#<alt (* u (- (* u (+ 3 (* -1 u))) 3))>
#<alt (* -1 (pow u 3))>
#<alt (* (pow u 3) (- (* 3 (/ 1 u)) 1))>
#<alt (* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2)))))>
#<alt (* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2)))))>
#<alt (* -1 (pow u 3))>
#<alt (* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u)))))>
#<alt (* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u)))))>
#<alt (* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u)))))>
#<alt (* 1/45 u)>
#<alt (* u (+ 1/45 (* -1/18 (pow u 2))))>
#<alt (* u (+ 1/45 (* (pow u 2) (- (* 1/24 u) 1/18))))>
#<alt (* u (+ 1/45 (* (pow u 2) (- (* 1/24 u) 1/18))))>
#<alt (* 1/24 (pow u 4))>
#<alt (* (pow u 4) (- 1/24 (* 1/18 (/ 1 u))))>
#<alt (* (pow u 4) (- (+ 1/24 (/ 1/45 (pow u 3))) (* 1/18 (/ 1 u))))>
#<alt (* (pow u 4) (- (+ 1/24 (/ 1/45 (pow u 3))) (* 1/18 (/ 1 u))))>
#<alt (* 1/24 (pow u 4))>
#<alt (* (pow u 4) (- 1/24 (* 1/18 (/ 1 u))))>
#<alt (* (pow u 4) (+ 1/24 (* -1 (/ (- 1/18 (* 1/45 (/ 1 (pow u 2)))) u))))>
#<alt (* (pow u 4) (+ 1/24 (* -1 (/ (- 1/18 (* 1/45 (/ 1 (pow u 2)))) u))))>
Calls

165 calls:

TimeVariablePointExpression
35.0ms
n0_i
@0
(+ (* n0_i (- 1 u)) (* (* normAngle normAngle) (* -1/6 (* n0_i (+ (* (- 1 u) (+ (* u -2) 1)) (- 0 (- 1 u)))))))
2.0ms
u
@inf
(* -1/6 (* n0_i (+ (* (- 1 u) (+ (* u -2) 1)) (- 0 (- 1 u)))))
2.0ms
n0_i
@0
(+ (* n0_i (- 1 u)) (+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* n0_i (+ (* 1/120 (* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))))) (* u n1_i)))
1.0ms
n1_i
@0
(+ (* n0_i (- 1 u)) (+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* n0_i (+ (* 1/120 (* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))))) (* u n1_i)))
1.0ms
normAngle
@inf
(+ (* n0_i (- 1 u)) (+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* n0_i (+ (* 1/120 (* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))))) (* u n1_i)))

rewrite667.0ms (3.6%)

Memory
-10.7MiB live, 617.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 662×accelerator-lowering-fma.f32
5 662×accelerator-lowering-fma.f64
4 978×*-lowering-*.f32
4 978×*-lowering-*.f64
2 410×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090441
1636405
26566405
08173363
Stop Event
iter limit
node limit
Counts
25 → 670
Calls
Call 1
Inputs
(/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i))
(+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle)))))
(+ (+ (* n0_i -1/24) (/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i))))
(+ (- n1_i n0_i) (+ (* (* normAngle normAngle) (+ (* (+ (+ (* n0_i -1/24) (/ (* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120) (+ n0_i n1_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i)))) (* normAngle normAngle)) (* (+ (* n0_i -2) (neg n1_i)) -1/6))) (* -1/2 (* n0_i (* u (* normAngle normAngle))))))
(neg u)
(* n0_i (neg u))
(+ (- n1_i n0_i) (* (* -1/2 n0_i) (* (* normAngle normAngle) u)))
(+ (* u (+ (- n1_i n0_i) (* (* -1/2 n0_i) (* (* normAngle normAngle) u)))) n0_i)
(- n1_i n0_i)
(* (* -1/2 n0_i) (* (* normAngle normAngle) u))
(+ (* n0_i (- 1 u)) (* (* normAngle normAngle) (* -1/6 (* n0_i (+ (* (- 1 u) (+ (* u -2) 1)) (- 0 (- 1 u)))))))
(+ (* (- 1 u) (+ (* u -2) 1)) (- 0 (- 1 u)))
(- 0 (- 1 u))
(- 1 u)
(+ (* n0_i (- 1 u)) (+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (* n0_i (+ (* 1/120 (* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)))))) (* u n1_i)))
(+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)
(+ (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u)) (* n1_i (* u (+ (* u u) -1))))
(* (* (+ n0_i n1_i) (- n1_i n0_i)) -1/120)
(* (+ (* n0_i -2) (neg n1_i)) -1/6)
(* (* normAngle normAngle) u)
(* -1/6 (* n0_i (+ (* (- 1 u) (+ (* u -2) 1)) (- 0 (- 1 u)))))
(* n0_i (+ (* (- 1 u) (+ (* u -2) 1)) (- 0 (- 1 u))))
(+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36)
(+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1)
(+ (* 1/120 (* u (+ (* u (+ (* u (+ (* u 5) -10)) 10)) -4))) (+ (* (+ (* (- 1 u) (* (- 1 u) (- 1 u))) u) -1/36) 1/36))
Outputs
(neg.f32 (/.f32 (*.f32 (+.f32 n0_i n1_i) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))) (-.f32 #s(literal 0 binary32) (+.f32 n0_i n1_i))))
(neg.f32 (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i))) (+.f32 n0_i n1_i)))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 (*.f32 (+.f32 n0_i n1_i) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))) (+.f32 n0_i n1_i))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32)))))
(/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i))) (-.f32 #s(literal 0 binary32) (+.f32 n0_i n1_i)))
(/.f32 (*.f32 (*.f32 (+.f32 n0_i n1_i) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))) #s(literal 1 binary32)) (+.f32 n0_i n1_i))
(/.f32 (neg.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)))) (neg.f32 (-.f32 #s(literal 0 binary32) (+.f32 n0_i n1_i))))
(/.f32 (*.f32 (*.f32 (fma.f32 n0_i (+.f32 n0_i n1_i) (*.f32 n1_i n1_i)) (-.f32 n1_i n0_i)) #s(literal -1/120 binary32)) (fma.f32 n0_i (+.f32 n0_i n1_i) (*.f32 n1_i n1_i)))
(*.f32 (+.f32 n0_i n1_i) (*.f32 (-.f32 n1_i n0_i) (/.f32 #s(literal -1/120 binary32) (+.f32 n0_i n1_i))))
(*.f32 (+.f32 n0_i n1_i) (*.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 n0_i n1_i))))
(*.f32 (+.f32 n0_i n1_i) (/.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32)) (+.f32 n0_i n1_i)))
(*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))
(*.f32 (-.f32 n1_i n0_i) (*.f32 (+.f32 n0_i n1_i) (/.f32 #s(literal -1/120 binary32) (+.f32 n0_i n1_i))))
(*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))
(*.f32 (*.f32 (+.f32 n0_i n1_i) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 n0_i n1_i)))
(*.f32 #s(literal 1 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32)))
(*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (+.f32 n0_i n1_i))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 n0_i n1_i)) (*.f32 (+.f32 n0_i n1_i) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))))
(*.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) (/.f32 #s(literal -1/120 binary32) (+.f32 n0_i n1_i)))
(*.f32 (/.f32 #s(literal -1/120 binary32) (+.f32 n0_i n1_i)) (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)))
(*.f32 (/.f32 (*.f32 (+.f32 n0_i n1_i) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))) (fma.f32 n1_i (*.f32 n1_i n1_i) (*.f32 n0_i (*.f32 n0_i n0_i)))) (fma.f32 n0_i n0_i (*.f32 n1_i (-.f32 n1_i n0_i))))
(*.f32 (/.f32 (*.f32 (+.f32 n0_i n1_i) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))) (*.f32 (+.f32 n0_i n1_i) (-.f32 n0_i n1_i))) (-.f32 n0_i n1_i))
(+.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/18 binary32) (fma.f32 #s(literal 1/36 binary32) n1_i (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32))))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32)))) (*.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))))
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(/.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal 0 binary32)) u) (*.f32 (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32)) (*.f32 u #s(literal 1/120 binary32)))) (fma.f32 #s(literal -1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal 0 binary32)) u) (*.f32 (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32)) (*.f32 u #s(literal 1/120 binary32))))) #s(literal 1/1296 binary32)) (-.f32 (fma.f32 #s(literal -1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal 0 binary32)) u) (*.f32 (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32)) (*.f32 u #s(literal 1/120 binary32)))) #s(literal 1/36 binary32)))
(*.f32 (fma.f32 (*.f32 (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32)) (*.f32 u #s(literal 1/120 binary32))) (*.f32 #s(literal 1/14400 binary32) (*.f32 (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32))) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32))))) (*.f32 (fma.f32 #s(literal -1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal 0 binary32)) u) #s(literal 1/36 binary32)) (*.f32 (fma.f32 #s(literal -1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal 0 binary32)) u) #s(literal 1/36 binary32)) (fma.f32 #s(literal -1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal 0 binary32)) u) #s(literal 1/36 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/14400 binary32) (*.f32 (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32))) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32)))) (*.f32 (fma.f32 #s(literal -1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal 0 binary32)) u) #s(literal 1/36 binary32)) (-.f32 (fma.f32 #s(literal -1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal 0 binary32)) u) #s(literal 1/36 binary32)) (*.f32 (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32)) (*.f32 u #s(literal 1/120 binary32))))))))
(*.f32 (*.f32 (fma.f32 (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32)) (*.f32 u #s(literal 1/120 binary32)) (fma.f32 #s(literal -1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal 0 binary32)) u) #s(literal 1/36 binary32))) (-.f32 (*.f32 (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32)) (*.f32 u #s(literal 1/120 binary32))) (fma.f32 #s(literal -1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal 0 binary32)) u) #s(literal 1/36 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32)) (*.f32 u #s(literal 1/120 binary32))) (fma.f32 #s(literal -1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal 0 binary32)) u) #s(literal 1/36 binary32)))))

simplify703.0ms (3.8%)

Memory
14.9MiB live, 1 059.7MiB allocated
Algorithm
egg-herbie
Rules
12 646×accelerator-lowering-fma.f32
12 646×accelerator-lowering-fma.f64
6 752×*-lowering-*.f32
6 752×*-lowering-*.f64
6 730×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085012544
1287412033
0856810998
Stop Event
iter limit
node limit
Counts
660 → 660
Calls
Call 1
Inputs
(* -1/120 n1_i)
(+ (* -1/120 n1_i) (* 1/120 n0_i))
(+ (* -1/120 n1_i) (* 1/120 n0_i))
(+ (* -1/120 n1_i) (* 1/120 n0_i))
(* 1/120 n0_i)
(* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i))))
(* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i))))
(* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i))))
(* 1/120 n0_i)
(* -1 (* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120)))
(* -1 (* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120)))
(* -1 (* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120)))
(* 1/120 n0_i)
(+ (* -1/120 n1_i) (* 1/120 n0_i))
(+ (* -1/120 n1_i) (* 1/120 n0_i))
(+ (* -1/120 n1_i) (* 1/120 n0_i))
(* -1/120 n1_i)
(* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120))
(* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120))
(* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120))
(* -1/120 n1_i)
(* -1 (* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i)))))
(* -1 (* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i)))))
(* -1 (* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i)))))
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -2 n0_i) n1_i))))
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))
(* (pow normAngle 4) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
(* (pow normAngle 4) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
(* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))
(+ (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))))
(+ (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))))
(+ (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))))
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2))))))
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i))))
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i))))
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i))))
(* -1 (* n0_i (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3)))))
(* -1 (* n0_i (+ (* -1 (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))))
(* -1 (* n0_i (+ (* -1 (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))))
(* -1 (* n0_i (+ (* -1 (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))))
(* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i))))
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i))))
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i))))
(* -1 (* n1_i (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))))
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)))))
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)))))
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)))))
(* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)))
(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)))
(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(+ (* -1/120 n1_i) (* 1/36 n1_i))
(+ (* -1/120 n1_i) (+ (* 1/45 n0_i) (* 1/36 n1_i)))
(+ (* -1/120 n1_i) (+ (* 1/45 n0_i) (* 1/36 n1_i)))
(+ (* -1/120 n1_i) (+ (* 1/45 n0_i) (* 1/36 n1_i)))
(* 1/45 n0_i)
(* n0_i (+ 1/45 (+ (* -1/120 (/ n1_i n0_i)) (* 1/36 (/ n1_i n0_i)))))
(* n0_i (+ 1/45 (+ (* -1/120 (/ n1_i n0_i)) (* 1/36 (/ n1_i n0_i)))))
(* n0_i (+ 1/45 (+ (* -1/120 (/ n1_i n0_i)) (* 1/36 (/ n1_i n0_i)))))
(* 1/45 n0_i)
(* -1 (* n0_i (- (* -1 (/ (+ (* -1/120 n1_i) (* 1/36 n1_i)) n0_i)) 1/45)))
(* -1 (* n0_i (- (* -1 (/ (+ (* -1/120 n1_i) (* 1/36 n1_i)) n0_i)) 1/45)))
(* -1 (* n0_i (- (* -1 (/ (+ (* -1/120 n1_i) (* 1/36 n1_i)) n0_i)) 1/45)))
(+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))
(+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i))))
(+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i))))
(+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i))))
(* 7/360 n1_i)
(* n1_i (+ 7/360 (+ (* -1/24 (/ n0_i n1_i)) (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i))))))
(* n1_i (+ 7/360 (+ (* -1/24 (/ n0_i n1_i)) (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i))))))
(* n1_i (+ 7/360 (+ (* -1/24 (/ n0_i n1_i)) (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i))))))
(* 7/360 n1_i)
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)) 7/360)))
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)) 7/360)))
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)) 7/360)))
(- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n0_i)
(- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))) n0_i)
(- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))) n0_i)
(- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))) n0_i)
(* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))
(* n1_i (- (+ 1 (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i)))) (/ n0_i n1_i)))
(* n1_i (- (+ 1 (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i)))) (/ n0_i n1_i)))
(* n1_i (- (+ 1 (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i)))) (/ n0_i n1_i)))
(* -1 (* n1_i (- (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)) 1)))
(* -1 (* n1_i (- (+ (* -1 (/ (- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n0_i) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))) 1)))
(* -1 (* n1_i (- (+ (* -1 (/ (- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n0_i) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))) 1)))
(* -1 (* n1_i (- (+ (* -1 (/ (- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n0_i) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))) 1)))
(+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))))
(+ n1_i (+ (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2))))) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))))
(+ n1_i (+ (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2))))) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))))
(+ n1_i (+ (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2))))) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))))
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2))))) 1))
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)))) 1))
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)))) 1))
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)))) 1))
(* -1 (* n0_i (+ 1 (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3)))))))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3)))))))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3)))))))
(- n1_i n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -2 n0_i) n1_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))) n0_i)
(* (pow normAngle 4) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
(* (pow normAngle 4) (- (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (/ n1_i (pow normAngle 4))))))) (/ n0_i (pow normAngle 4))))
(* (pow normAngle 4) (- (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (/ n1_i (pow normAngle 4))))))) (/ n0_i (pow normAngle 4))))
(* (pow normAngle 4) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
(* (pow normAngle 4) (- (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (/ n1_i (pow normAngle 4))))))) (/ n0_i (pow normAngle 4))))
(* (pow normAngle 4) (- (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (/ n1_i (pow normAngle 4))))))) (/ n0_i (pow normAngle 4))))
(- (+ n1_i (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) n0_i)
(- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))) n0_i)
(- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))) n0_i)
(- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))) n0_i)
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u))) (/ n0_i u)))
(* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u))) (/ n0_i u)))
(* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u))) (/ n0_i u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1 (* u (+ (* -1 (/ (- (+ n1_i (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(* -1 (* u (+ (* -1 (/ (- (+ n1_i (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(* -1 (* u (+ (* -1 (/ (- (+ n1_i (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i)
(- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i)
(- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i)
(- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i)
n1_i
(* n1_i (- (+ 1 (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i))) (/ n0_i n1_i)))
(* n1_i (- (+ 1 (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i))) (/ n0_i n1_i)))
(* n1_i (- (+ 1 (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i))) (/ n0_i n1_i)))
n1_i
(* -1 (* n1_i (- (* -1 (/ (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i) n1_i)) 1)))
(* -1 (* n1_i (- (* -1 (/ (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i) n1_i)) 1)))
(* -1 (* n1_i (- (* -1 (/ (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i) n1_i)) 1)))
n1_i
(+ n1_i (* n0_i (- (* -1/2 (* (pow normAngle 2) u)) 1)))
(+ n1_i (* n0_i (- (* -1/2 (* (pow normAngle 2) u)) 1)))
(+ n1_i (* n0_i (- (* -1/2 (* (pow normAngle 2) u)) 1)))
(* n0_i (- (* -1/2 (* (pow normAngle 2) u)) 1))
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (/ n1_i n0_i)) 1))
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (/ n1_i n0_i)) 1))
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (/ n1_i n0_i)) 1))
(* -1 (* n0_i (+ 1 (* 1/2 (* (pow normAngle 2) u)))))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ n1_i n0_i)) (* 1/2 (* (pow normAngle 2) u))))))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ n1_i n0_i)) (* 1/2 (* (pow normAngle 2) u))))))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ n1_i n0_i)) (* 1/2 (* (pow normAngle 2) u))))))
(- n1_i n0_i)
(- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i)
(- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i)
(- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i)
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2))))
(* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2))))
(* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2))))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2))))
(* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2))))
(* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2))))
(- n1_i n0_i)
(- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i)
(- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i)
(- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i)
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ n1_i u)) (/ n0_i u)))
(* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ n1_i u)) (/ n0_i u)))
(* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ n1_i u)) (/ n0_i u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1 (* u (+ (* -1 (/ (- n1_i n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(* -1 (* u (+ (* -1 (/ (- n1_i n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(* -1 (* u (+ (* -1 (/ (- n1_i n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
n0_i
(+ n0_i (* u (- n1_i n0_i)))
(+ n0_i (* u (- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i)))
(+ n0_i (* u (- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i)))
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))
(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ n1_i u)) (/ n0_i u)))
(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ n1_i u))) (/ n0_i u)))
(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ n1_i u))) (/ n0_i u)))
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))
(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ n1_i u)) (/ n0_i u)))
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))
(+ n0_i (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i)))
(+ n0_i (+ (* n1_i u) (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i))))
(+ n0_i (+ (* n1_i u) (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i))))
(+ n0_i (+ (* n1_i u) (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i))))
(* n1_i u)
(* n1_i (+ u (+ (/ n0_i n1_i) (/ (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i)) n1_i))))
(* n1_i (+ u (+ (/ n0_i n1_i) (/ (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i)) n1_i))))
(* n1_i (+ u (+ (/ n0_i n1_i) (/ (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i)) n1_i))))
(* n1_i u)
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ n0_i (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i))) n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ n0_i (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i))) n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ n0_i (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i))) n1_i)))))
(* n1_i u)
(+ (* n0_i (+ 1 (* u (- (* -1/2 (* (pow normAngle 2) u)) 1)))) (* n1_i u))
(+ (* n0_i (+ 1 (* u (- (* -1/2 (* (pow normAngle 2) u)) 1)))) (* n1_i u))
(+ (* n0_i (+ 1 (* u (- (* -1/2 (* (pow normAngle 2) u)) 1)))) (* n1_i u))
(* n0_i (+ 1 (* u (- (* -1/2 (* (pow normAngle 2) u)) 1))))
(* n0_i (+ 1 (+ (* u (- (* -1/2 (* (pow normAngle 2) u)) 1)) (/ (* n1_i u) n0_i))))
(* n0_i (+ 1 (+ (* u (- (* -1/2 (* (pow normAngle 2) u)) 1)) (/ (* n1_i u) n0_i))))
(* n0_i (+ 1 (+ (* u (- (* -1/2 (* (pow normAngle 2) u)) 1)) (/ (* n1_i u) n0_i))))
(* -1 (* n0_i (- (* u (+ 1 (* 1/2 (* (pow normAngle 2) u)))) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i u) n0_i)) (* u (+ 1 (* 1/2 (* (pow normAngle 2) u))))) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i u) n0_i)) (* u (+ 1 (* 1/2 (* (pow normAngle 2) u))))) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i u) n0_i)) (* u (+ 1 (* 1/2 (* (pow normAngle 2) u))))) 1)))
(+ n0_i (* u (- n1_i n0_i)))
(+ n0_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2)))) (* u (- n1_i n0_i))))
(+ n0_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2)))) (* u (- n1_i n0_i))))
(+ n0_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2)))) (* u (- n1_i n0_i))))
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))
(* (pow normAngle 2) (+ (* -1/2 (* n0_i (pow u 2))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1/2 (* n0_i (pow u 2))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1/2 (* n0_i (pow u 2))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))
(* (pow normAngle 2) (+ (* -1/2 (* n0_i (pow u 2))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1/2 (* n0_i (pow u 2))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1/2 (* n0_i (pow u 2))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
(* -1 n0_i)
(- n1_i n0_i)
(- n1_i n0_i)
(- n1_i n0_i)
n1_i
(* n1_i (+ 1 (* -1 (/ n0_i n1_i))))
(* n1_i (+ 1 (* -1 (/ n0_i n1_i))))
(* n1_i (+ 1 (* -1 (/ n0_i n1_i))))
n1_i
(* -1 (* n1_i (- (/ n0_i n1_i) 1)))
(* -1 (* n1_i (- (/ n0_i n1_i) 1)))
(* -1 (* n1_i (- (/ n0_i n1_i) 1)))
n1_i
(+ n1_i (* -1 n0_i))
(+ n1_i (* -1 n0_i))
(+ n1_i (* -1 n0_i))
(* -1 n0_i)
(* n0_i (- (/ n1_i n0_i) 1))
(* n0_i (- (/ n1_i n0_i) 1))
(* n0_i (- (/ n1_i n0_i) 1))
(* -1 n0_i)
(* -1 (* n0_i (+ 1 (* -1 (/ n1_i n0_i)))))
(* -1 (* n0_i (+ 1 (* -1 (/ n1_i n0_i)))))
(* -1 (* n0_i (+ 1 (* -1 (/ n1_i n0_i)))))
(* -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)))
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))) u))
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))) u))
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))) u))
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))) u))
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))) u))
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))) u))
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))) u))
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))) u))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* 1/6 (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* 1/6 (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* 1/6 (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* 1/6 (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))))))
n0_i
(+ n0_i (* u (+ (* -1 n0_i) (* 1/3 (* n0_i (pow normAngle 2))))))
(+ n0_i (* u (+ (* -1 n0_i) (+ (* -1/3 (* n0_i (* (pow normAngle 2) u))) (* 1/3 (* n0_i (pow normAngle 2)))))))
(+ n0_i (* u (+ (* -1 n0_i) (+ (* -1/3 (* n0_i (* (pow normAngle 2) u))) (* 1/3 (* n0_i (pow normAngle 2)))))))
(* -1/3 (* n0_i (* (pow normAngle 2) (pow u 2))))
(* (pow u 2) (+ (* -1 (/ n0_i u)) (+ (* -1/3 (* n0_i (pow normAngle 2))) (* 1/3 (/ (* n0_i (pow normAngle 2)) u)))))
(* (pow u 2) (+ (* -1 (/ n0_i u)) (+ (* -1/3 (* n0_i (pow normAngle 2))) (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 2))))))
(* (pow u 2) (+ (* -1 (/ n0_i u)) (+ (* -1/3 (* n0_i (pow normAngle 2))) (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) u)) (/ n0_i (pow u 2))))))
(* -1/3 (* n0_i (* (pow normAngle 2) (pow u 2))))
(* (pow u 2) (+ (* -1 (/ (+ n0_i (* -1/3 (* n0_i (pow normAngle 2)))) u)) (* -1/3 (* n0_i (pow normAngle 2)))))
(* (pow u 2) (+ (* -1 (/ (+ n0_i (+ (* -1 (/ n0_i u)) (* -1/3 (* n0_i (pow normAngle 2))))) u)) (* -1/3 (* n0_i (pow normAngle 2)))))
(* (pow u 2) (+ (* -1 (/ (+ n0_i (+ (* -1 (/ n0_i u)) (* -1/3 (* n0_i (pow normAngle 2))))) u)) (* -1/3 (* n0_i (pow normAngle 2)))))
(* n0_i (- 1 u))
(+ (* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))) (* n0_i (- 1 u)))
(+ (* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))) (* n0_i (- 1 u)))
(+ (* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))) (* n0_i (- 1 u)))
(* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))))
(* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))
(* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))))
(* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))
(* -2 u)
(* u (- (* 2 u) 2))
(* u (- (* 2 u) 2))
(* u (- (* 2 u) 2))
(* 2 (pow u 2))
(* (pow u 2) (- 2 (* 2 (/ 1 u))))
(* (pow u 2) (- 2 (* 2 (/ 1 u))))
(* (pow u 2) (- 2 (* 2 (/ 1 u))))
(* 2 (pow u 2))
(* (pow u 2) (- 2 (* 2 (/ 1 u))))
(* (pow u 2) (- 2 (* 2 (/ 1 u))))
(* (pow u 2) (- 2 (* 2 (/ 1 u))))
-1
(- u 1)
(- u 1)
(- u 1)
u
(* u (- 1 (/ 1 u)))
(* u (- 1 (/ 1 u)))
(* u (- 1 (/ 1 u)))
u
(* -1 (* u (- (/ 1 u) 1)))
(* -1 (* u (- (/ 1 u) 1)))
(* -1 (* u (- (/ 1 u) 1)))
1
(+ 1 (* -1 u))
(+ 1 (* -1 u))
(+ 1 (* -1 u))
(* -1 u)
(* u (- (/ 1 u) 1))
(* u (- (/ 1 u) 1))
(* u (- (/ 1 u) 1))
(* -1 u)
(* -1 (* u (- 1 (/ 1 u))))
(* -1 (* u (- 1 (/ 1 u))))
(* -1 (* u (- 1 (/ 1 u))))
(+ (* -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 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))) u)) (* n1_i u)))
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))) u)) (* n1_i u)))
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))) u)) (* n1_i u)))
(* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))) u))
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))) (/ (* n1_i u) n0_i)))) u))
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))) (/ (* n1_i u) n0_i)))) u))
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (+ (* (pow normAngle 2) (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))) (/ (* n1_i u) n0_i)))) u))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1)))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1))))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1))))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))) (* 1/6 (- (+ u (pow (- 1 u) 3)) 1))))))))
n0_i
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* 1/45 (* n0_i (pow normAngle 2)))))))))
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* 1/45 (* n0_i (pow normAngle 2))))))))))
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/18 (* n0_i (pow normAngle 2)))))))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* 1/45 (* n0_i (pow normAngle 2))))))))))
(* 1/24 (* n0_i (* (pow normAngle 4) (pow u 4))))
(* (pow u 4) (+ (* 1/24 (* n0_i (pow normAngle 4))) (/ (* (pow normAngle 2) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/18 (* n0_i (pow normAngle 2))))) u)))
(* (pow u 4) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) (pow u 2))) (+ (* 1/24 (* n0_i (pow normAngle 4))) (/ (* (pow normAngle 2) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/18 (* n0_i (pow normAngle 2))))) u))))
(* (pow u 4) (+ (* -1 (/ n0_i (pow u 3))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) (pow u 2))) (+ (* 1/24 (* n0_i (pow normAngle 4))) (+ (/ n1_i (pow u 3)) (+ (/ (* (pow normAngle 2) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/18 (* n0_i (pow normAngle 2))))) u) (/ (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* 1/45 (* n0_i (pow normAngle 2))))) (pow u 3))))))))
(* 1/24 (* n0_i (* (pow normAngle 4) (pow u 4))))
(* (pow u 4) (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/18 (* n0_i (pow normAngle 2))))) u)) (* 1/24 (* n0_i (pow normAngle 4)))))
(* (pow u 4) (+ (* -1 (/ (+ (* 1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/18 (* n0_i (pow normAngle 2)))))) u)) (* 1/24 (* n0_i (pow normAngle 4)))))
(* (pow u 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (* (pow normAngle 2) (+ (* -1/6 (+ n1_i (* 2 n0_i))) (* -1/45 (* n0_i (pow normAngle 2))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/18 (* n0_i (pow normAngle 2)))))) u)) (* 1/24 (* n0_i (pow normAngle 4)))))
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* -1/6 (* (pow normAngle 2) (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))))) (+ (* n0_i (- 1 u)) (* n1_i u)))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))))))
(* n0_i (* (pow normAngle 4) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))))
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))))
(* n0_i (* (pow normAngle 4) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))))
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))))))
(* 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)))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))) n1_i)))))
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))) n1_i)))))
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))) n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))))) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))))) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))))) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))))
(* -2 u)
(* u (- (* 3 u) 2))
(* u (- (* u (+ 3 (* -1 u))) 2))
(* u (- (* u (+ 3 (* -1 u))) 2))
(* -1 (pow u 3))
(* (pow u 3) (- (* 3 (/ 1 u)) 1))
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 2 (pow u 2)))))
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 2 (pow u 2)))))
(* -1 (pow u 3))
(* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u)))))
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 2 (/ 1 u))) u)))))
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 2 (/ 1 u))) u)))))
(* n1_i (* u (- (pow u 2) 1)))
(+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))
(+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))
(+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(* n0_i (- (+ u (+ (/ (* n1_i (* u (- (pow u 2) 1))) n0_i) (pow (- 1 u) 3))) 1))
(* n0_i (- (+ u (+ (/ (* n1_i (* u (- (pow u 2) 1))) n0_i) (pow (- 1 u) 3))) 1))
(* n0_i (- (+ u (+ (/ (* n1_i (* u (- (pow u 2) 1))) n0_i) (pow (- 1 u) 3))) 1))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(* -1 (* n0_i (+ (* -1 (- (+ u (pow (- 1 u) 3)) 1)) (* -1 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))
(* -1 (* n0_i (+ (* -1 (- (+ u (pow (- 1 u) 3)) 1)) (* -1 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))
(* -1 (* n0_i (+ (* -1 (- (+ u (pow (- 1 u) 3)) 1)) (* -1 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))
(* u (+ (* -2 n0_i) (* -1 n1_i)))
(* u (+ (* -2 n0_i) (+ (* -1 n1_i) (* 3 (* n0_i u)))))
(* u (+ (* -2 n0_i) (+ (* -1 n1_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i))))))))
(* u (+ (* -2 n0_i) (+ (* -1 n1_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i))))))))
(* (pow u 3) (+ n1_i (* -1 n0_i)))
(* (pow u 3) (+ n1_i (+ (* -1 n0_i) (* 3 (/ n0_i u)))))
(* (pow u 3) (+ n1_i (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* -1 (/ n1_i (pow u 2))) (* 3 (/ n0_i u)))))))
(* (pow u 3) (+ n1_i (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* -1 (/ n1_i (pow u 2))) (* 3 (/ n0_i u)))))))
(* -1 (* (pow u 3) (+ n0_i (* -1 n1_i))))
(* -1 (* (pow u 3) (+ n0_i (+ (* -3 (/ n0_i u)) (* -1 n1_i)))))
(* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ (* -1 (/ (+ n1_i (* 2 n0_i)) u)) (* 3 n0_i)) u))))))
(* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ (* -1 (/ (+ n1_i (* 2 n0_i)) u)) (* 3 n0_i)) u))))))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))
(+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))
(+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))
(* n1_i (* u (- (pow u 2) 1)))
(* n1_i (+ (* u (- (pow u 2) 1)) (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))
(* n1_i (+ (* u (- (pow u 2) 1)) (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))
(* n1_i (+ (* u (- (pow u 2) 1)) (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))
(* n1_i (* u (- (pow u 2) 1)))
(* -1 (* n1_i (+ (* -1 (* u (- (pow u 2) 1))) (* -1 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))))
(* -1 (* n1_i (+ (* -1 (* u (- (pow u 2) 1))) (* -1 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))))
(* -1 (* n1_i (+ (* -1 (* u (- (pow u 2) 1))) (* -1 (/ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) n1_i)))))
(* -1/120 (pow n1_i 2))
(+ (* -1/120 (* n0_i (+ n1_i (* -1 n1_i)))) (* -1/120 (pow n1_i 2)))
(+ (* -1/120 (pow n1_i 2)) (* n0_i (+ (* -1/120 (+ n1_i (* -1 n1_i))) (* 1/120 n0_i))))
(+ (* -1/120 (pow n1_i 2)) (* n0_i (+ (* -1/120 (+ n1_i (* -1 n1_i))) (* 1/120 n0_i))))
(* 1/120 (pow n0_i 2))
(* (pow n0_i 2) (+ 1/120 (* -1/120 (/ (+ n1_i (* -1 n1_i)) n0_i))))
(* (pow n0_i 2) (+ 1/120 (+ (* -1/120 (/ (+ n1_i (* -1 n1_i)) n0_i)) (* -1/120 (/ (pow n1_i 2) (pow n0_i 2))))))
(* (pow n0_i 2) (+ 1/120 (+ (* -1/120 (/ (+ n1_i (* -1 n1_i)) n0_i)) (* -1/120 (/ (pow n1_i 2) (pow n0_i 2))))))
(* 1/120 (pow n0_i 2))
(* (pow n0_i 2) (+ 1/120 (* 1/120 (/ (+ n1_i (* -1 n1_i)) n0_i))))
(* (pow n0_i 2) (+ 1/120 (* -1 (/ (+ (* -1/120 (+ n1_i (* -1 n1_i))) (* 1/120 (/ (pow n1_i 2) n0_i))) n0_i))))
(* (pow n0_i 2) (+ 1/120 (* -1 (/ (+ (* -1/120 (+ n1_i (* -1 n1_i))) (* 1/120 (/ (pow n1_i 2) n0_i))) n0_i))))
(* 1/120 (pow n0_i 2))
(+ (* -1/120 (* n1_i (+ n0_i (* -1 n0_i)))) (* 1/120 (pow n0_i 2)))
(+ (* 1/120 (pow n0_i 2)) (* n1_i (+ (* -1/120 n1_i) (* -1/120 (+ n0_i (* -1 n0_i))))))
(+ (* 1/120 (pow n0_i 2)) (* n1_i (+ (* -1/120 n1_i) (* -1/120 (+ n0_i (* -1 n0_i))))))
(* -1/120 (pow n1_i 2))
(* (pow n1_i 2) (- (* -1/120 (/ (+ n0_i (* -1 n0_i)) n1_i)) 1/120))
(* (pow n1_i 2) (- (+ (* -1/120 (/ (+ n0_i (* -1 n0_i)) n1_i)) (* 1/120 (/ (pow n0_i 2) (pow n1_i 2)))) 1/120))
(* (pow n1_i 2) (- (+ (* -1/120 (/ (+ n0_i (* -1 n0_i)) n1_i)) (* 1/120 (/ (pow n0_i 2) (pow n1_i 2)))) 1/120))
(* -1/120 (pow n1_i 2))
(* (pow n1_i 2) (- (* -1/120 (/ (+ n0_i (* -1 n0_i)) n1_i)) 1/120))
(* (pow n1_i 2) (- (* -1 (/ (+ (* -1/120 (/ (pow n0_i 2) n1_i)) (* 1/120 (+ n0_i (* -1 n0_i)))) n1_i)) 1/120))
(* (pow n1_i 2) (- (* -1 (/ (+ (* -1/120 (/ (pow n0_i 2) n1_i)) (* 1/120 (+ n0_i (* -1 n0_i)))) n1_i)) 1/120))
(* 1/6 n1_i)
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(* 1/3 n0_i)
(* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))
(* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))
(* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))
(* 1/3 n0_i)
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))
(* 1/3 n0_i)
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(* 1/6 n1_i)
(* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))
(* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))
(* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))
(* 1/6 n1_i)
(* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))
(* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))
(* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* (pow normAngle 2) u)
(* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))
(* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))
(* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))
(* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))
(* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))
(* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))
(* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))
(* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))
(* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))
(* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))
(* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))
(* -1/6 (* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1)))
(* 1/3 (* n0_i u))
(* u (+ (* -1/3 (* n0_i u)) (* 1/3 n0_i)))
(* u (+ (* -1/3 (* n0_i u)) (* 1/3 n0_i)))
(* u (+ (* -1/3 (* n0_i u)) (* 1/3 n0_i)))
(* -1/3 (* n0_i (pow u 2)))
(* (pow u 2) (+ (* -1/3 n0_i) (* 1/3 (/ n0_i u))))
(* (pow u 2) (+ (* -1/3 n0_i) (* 1/3 (/ n0_i u))))
(* (pow u 2) (+ (* -1/3 n0_i) (* 1/3 (/ n0_i u))))
(* -1/3 (* n0_i (pow u 2)))
(* (pow u 2) (+ (* -1/3 n0_i) (* 1/3 (/ n0_i u))))
(* (pow u 2) (+ (* -1/3 n0_i) (* 1/3 (/ n0_i u))))
(* (pow u 2) (+ (* -1/3 n0_i) (* 1/3 (/ n0_i u))))
(* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))
(* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))
(* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))
(* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))
(* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))
(* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))
(* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))
(* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))
(* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))
(* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))
(* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))
(* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))
(* -2 (* n0_i u))
(* u (+ (* -2 n0_i) (* 2 (* n0_i u))))
(* u (+ (* -2 n0_i) (* 2 (* n0_i u))))
(* u (+ (* -2 n0_i) (* 2 (* n0_i u))))
(* 2 (* n0_i (pow u 2)))
(* (pow u 2) (+ (* -2 (/ n0_i u)) (* 2 n0_i)))
(* (pow u 2) (+ (* -2 (/ n0_i u)) (* 2 n0_i)))
(* (pow u 2) (+ (* -2 (/ n0_i u)) (* 2 n0_i)))
(* 2 (* n0_i (pow u 2)))
(* (pow u 2) (+ (* -2 (/ n0_i u)) (* 2 n0_i)))
(* (pow u 2) (+ (* -2 (/ n0_i u)) (* 2 n0_i)))
(* (pow u 2) (+ (* -2 (/ n0_i u)) (* 2 n0_i)))
(* 1/18 u)
(* u (+ 1/18 (* -1/12 u)))
(* u (+ 1/18 (* u (- (* 1/36 u) 1/12))))
(* u (+ 1/18 (* u (- (* 1/36 u) 1/12))))
(* 1/36 (pow u 3))
(* (pow u 3) (- 1/36 (* 1/12 (/ 1 u))))
(* (pow u 3) (- (+ 1/36 (/ 1/18 (pow u 2))) (* 1/12 (/ 1 u))))
(* (pow u 3) (- (+ 1/36 (/ 1/18 (pow u 2))) (* 1/12 (/ 1 u))))
(* 1/36 (pow u 3))
(* -1 (* (pow u 3) (- (* 1/12 (/ 1 u)) 1/36)))
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/18 (/ 1 u)) 1/12) u)) 1/36)))
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/18 (/ 1 u)) 1/12) u)) 1/36)))
(* -3 u)
(* u (- (* 3 u) 3))
(* u (- (* u (+ 3 (* -1 u))) 3))
(* u (- (* u (+ 3 (* -1 u))) 3))
(* -1 (pow u 3))
(* (pow u 3) (- (* 3 (/ 1 u)) 1))
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2)))))
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2)))))
(* -1 (pow u 3))
(* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u)))))
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u)))))
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u)))))
(* 1/45 u)
(* u (+ 1/45 (* -1/18 (pow u 2))))
(* u (+ 1/45 (* (pow u 2) (- (* 1/24 u) 1/18))))
(* u (+ 1/45 (* (pow u 2) (- (* 1/24 u) 1/18))))
(* 1/24 (pow u 4))
(* (pow u 4) (- 1/24 (* 1/18 (/ 1 u))))
(* (pow u 4) (- (+ 1/24 (/ 1/45 (pow u 3))) (* 1/18 (/ 1 u))))
(* (pow u 4) (- (+ 1/24 (/ 1/45 (pow u 3))) (* 1/18 (/ 1 u))))
(* 1/24 (pow u 4))
(* (pow u 4) (- 1/24 (* 1/18 (/ 1 u))))
(* (pow u 4) (+ 1/24 (* -1 (/ (- 1/18 (* 1/45 (/ 1 (pow u 2)))) u))))
(* (pow u 4) (+ 1/24 (* -1 (/ (- 1/18 (* 1/45 (/ 1 (pow u 2)))) u))))
Outputs
(* -1/120 n1_i)
(*.f32 #s(literal -1/120 binary32) n1_i)
(+ (* -1/120 n1_i) (* 1/120 n0_i))
(*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))
(+ (* -1/120 n1_i) (* 1/120 n0_i))
(*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))
(+ (* -1/120 n1_i) (* 1/120 n0_i))
(*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))
(* 1/120 n0_i)
(*.f32 #s(literal 1/120 binary32) n0_i)
(* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i))))
(*.f32 n0_i (fma.f32 #s(literal -1/120 binary32) (/.f32 n1_i n0_i) #s(literal 1/120 binary32)))
(* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i))))
(*.f32 n0_i (fma.f32 #s(literal -1/120 binary32) (/.f32 n1_i n0_i) #s(literal 1/120 binary32)))
(* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i))))
(*.f32 n0_i (fma.f32 #s(literal -1/120 binary32) (/.f32 n1_i n0_i) #s(literal 1/120 binary32)))
(* 1/120 n0_i)
(*.f32 #s(literal 1/120 binary32) n0_i)
(* -1 (* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120)))
(-.f32 #s(literal 0 binary32) (*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (/.f32 n1_i n0_i) #s(literal -1/120 binary32))))
(* -1 (* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120)))
(-.f32 #s(literal 0 binary32) (*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (/.f32 n1_i n0_i) #s(literal -1/120 binary32))))
(* -1 (* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120)))
(-.f32 #s(literal 0 binary32) (*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (/.f32 n1_i n0_i) #s(literal -1/120 binary32))))
(* 1/120 n0_i)
(*.f32 #s(literal 1/120 binary32) n0_i)
(+ (* -1/120 n1_i) (* 1/120 n0_i))
(*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))
(+ (* -1/120 n1_i) (* 1/120 n0_i))
(*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))
(+ (* -1/120 n1_i) (* 1/120 n0_i))
(*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))
(* -1/120 n1_i)
(*.f32 #s(literal -1/120 binary32) n1_i)
(* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120))
(*.f32 n1_i (fma.f32 #s(literal 1/120 binary32) (/.f32 n0_i n1_i) #s(literal -1/120 binary32)))
(* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120))
(*.f32 n1_i (fma.f32 #s(literal 1/120 binary32) (/.f32 n0_i n1_i) #s(literal -1/120 binary32)))
(* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120))
(*.f32 n1_i (fma.f32 #s(literal 1/120 binary32) (/.f32 n0_i n1_i) #s(literal -1/120 binary32)))
(* -1/120 n1_i)
(*.f32 #s(literal -1/120 binary32) n1_i)
(* -1 (* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i)))))
(-.f32 #s(literal 0 binary32) (*.f32 n1_i (fma.f32 #s(literal -1/120 binary32) (/.f32 n0_i n1_i) #s(literal 1/120 binary32))))
(* -1 (* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i)))))
(-.f32 #s(literal 0 binary32) (*.f32 n1_i (fma.f32 #s(literal -1/120 binary32) (/.f32 n0_i n1_i) #s(literal 1/120 binary32))))
(* -1 (* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i)))))
(-.f32 #s(literal 0 binary32) (*.f32 n1_i (fma.f32 #s(literal -1/120 binary32) (/.f32 n0_i n1_i) #s(literal 1/120 binary32))))
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -2 n0_i) n1_i))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u) n0_i))))
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u) n0_i)))))
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u) n0_i)))))
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u) n0_i)))))
(* (pow normAngle 4) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))
(*.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (pow.f32 normAngle #s(literal 4 binary32)))
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (/.f32 u (*.f32 normAngle normAngle)) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 normAngle normAngle)))))
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (/.f32 u (*.f32 normAngle normAngle)) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 normAngle normAngle)))))
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (/.f32 u (*.f32 normAngle normAngle)) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 normAngle normAngle)))))
(* (pow normAngle 4) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))
(*.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (pow.f32 normAngle #s(literal 4 binary32)))
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (/.f32 u (*.f32 normAngle normAngle)) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 normAngle normAngle)))))
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (/.f32 u (*.f32 normAngle normAngle)) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 normAngle normAngle)))))
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (/.f32 u (*.f32 normAngle normAngle)) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 normAngle normAngle)))))
(* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32))))
(+ (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))))
(fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32)))))
(+ (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))))
(fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32)))))
(+ (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))))
(fma.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32)))))
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2))))))
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))))
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i))))
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32))) n0_i)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))))
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i))))
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32))) n0_i)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))))
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i))))
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32))) n0_i)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))))
(* -1 (* n0_i (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3)))))
(*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/2 binary32))) (neg.f32 n0_i))
(* -1 (* n0_i (+ (* -1 (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))))
(*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/2 binary32))) (/.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32)))) n0_i)) (neg.f32 n0_i))
(* -1 (* n0_i (+ (* -1 (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))))
(*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/2 binary32))) (/.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32)))) n0_i)) (neg.f32 n0_i))
(* -1 (* n0_i (+ (* -1 (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))))
(*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/2 binary32))) (/.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32)))) n0_i)) (neg.f32 n0_i))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))
(fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)) (*.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)))))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 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))) (fma.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)))))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 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))) (fma.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)))))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 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))) (fma.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)))))
(* n1_i (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))
(*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i))))
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/45 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) n1_i)) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (/.f32 (*.f32 (*.f32 normAngle normAngle) u) n1_i))))
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i))))
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/45 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) n1_i)) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (/.f32 (*.f32 (*.f32 normAngle normAngle) u) n1_i))))
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i))))
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(* -1 (* n1_i (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))))
(neg.f32 (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32))))
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)))))
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(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)))))
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(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)))))
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(* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
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(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))
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(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))
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(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))
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(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)))
(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)))
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(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)))
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(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)))
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(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)))
(* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
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(* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
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(* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
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(+ (* -1/120 n1_i) (+ (* 1/45 n0_i) (* 1/36 n1_i)))
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(+ (* -1/120 n1_i) (+ (* 1/45 n0_i) (* 1/36 n1_i)))
(fma.f32 n1_i #s(literal 7/360 binary32) (*.f32 n0_i #s(literal 1/45 binary32)))
(+ (* -1/120 n1_i) (+ (* 1/45 n0_i) (* 1/36 n1_i)))
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(* 1/45 n0_i)
(*.f32 n0_i #s(literal 1/45 binary32))
(* n0_i (+ 1/45 (+ (* -1/120 (/ n1_i n0_i)) (* 1/36 (/ n1_i n0_i)))))
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(* n0_i (+ 1/45 (+ (* -1/120 (/ n1_i n0_i)) (* 1/36 (/ n1_i n0_i)))))
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(* n0_i (+ 1/45 (+ (* -1/120 (/ n1_i n0_i)) (* 1/36 (/ n1_i n0_i)))))
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(* 1/45 n0_i)
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(* -1 (* n0_i (- (* -1 (/ (+ (* -1/120 n1_i) (* 1/36 n1_i)) n0_i)) 1/45)))
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(+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i))))
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(* 7/360 n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(* n1_i (+ 7/360 (+ (* -1/24 (/ n0_i n1_i)) (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i))))))
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(* n1_i (+ 7/360 (+ (* -1/24 (/ n0_i n1_i)) (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i))))))
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(* n1_i (+ 7/360 (+ (* -1/24 (/ n0_i n1_i)) (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i))))))
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(* 7/360 n1_i)
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(* -1 (* n1_i (- (* -1 (/ (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)) 7/360)))
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(* -1 (* n1_i (- (* -1 (/ (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)) 7/360)))
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(* -1 (* n1_i (- (* -1 (/ (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)) 7/360)))
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(- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) 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))) (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))))
(- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))) n0_i)
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(- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))) n0_i)
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(- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))) n0_i)
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(* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)))
(* n1_i (- (+ 1 (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i)))) (/ n0_i n1_i)))
(*.f32 n1_i (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/45 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) n1_i)) (/.f32 (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) n1_i))))
(* n1_i (- (+ 1 (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i)))) (/ n0_i n1_i)))
(*.f32 n1_i (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/45 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) n1_i)) (/.f32 (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) n1_i))))
(* n1_i (- (+ 1 (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i)))) (/ n0_i n1_i)))
(*.f32 n1_i (+.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/45 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))) n1_i)) (/.f32 (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) n1_i))))
(* -1 (* n1_i (- (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)) 1)))
(-.f32 #s(literal 0 binary32) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32)) #s(literal -1 binary32))))
(* -1 (* n1_i (- (+ (* -1 (/ (- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n0_i) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))) 1)))
(neg.f32 (*.f32 n1_i (+.f32 (/.f32 (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))) (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) (neg.f32 n1_i)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32)) #s(literal -1 binary32)))))
(* -1 (* n1_i (- (+ (* -1 (/ (- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n0_i) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))) 1)))
(neg.f32 (*.f32 n1_i (+.f32 (/.f32 (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))) (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) (neg.f32 n1_i)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32)) #s(literal -1 binary32)))))
(* -1 (* n1_i (- (+ (* -1 (/ (- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))) n0_i) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))) 1)))
(neg.f32 (*.f32 n1_i (+.f32 (/.f32 (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))) (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) (neg.f32 n1_i)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32)) #s(literal -1 binary32)))))
(+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32))) n1_i)
(+ n1_i (+ (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2))))) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))))
(fma.f32 n0_i (fma.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) normAngle) normAngle (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32))) n1_i))
(+ n1_i (+ (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2))))) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))))
(fma.f32 n0_i (fma.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) normAngle) normAngle (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32))) n1_i))
(+ n1_i (+ (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2))))) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))))
(fma.f32 n0_i (fma.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) normAngle) normAngle (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32))) n1_i))
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2))))) 1))
(*.f32 n0_i (fma.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) normAngle) normAngle (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))))
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)))) 1))
(*.f32 n0_i (+.f32 (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32))) n0_i)) (/.f32 n1_i n0_i)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))))
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)))) 1))
(*.f32 n0_i (+.f32 (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32))) n0_i)) (/.f32 n1_i n0_i)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))))
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))) n0_i)))) 1))
(*.f32 n0_i (+.f32 (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32))) n0_i)) (/.f32 n1_i n0_i)) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))))
(* -1 (* n0_i (+ 1 (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))))
(*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32)) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/2 binary32) #s(literal 1 binary32))) (neg.f32 n0_i))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3)))))))
(neg.f32 (fma.f32 n0_i (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/2 binary32))) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32))) n1_i) n0_i)) n0_i))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3)))))))
(neg.f32 (fma.f32 n0_i (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/2 binary32))) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32))) n1_i) n0_i)) n0_i))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))) n0_i)) (+ (* 1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3)))))))
(neg.f32 (fma.f32 n0_i (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) #s(literal -1/3 binary32)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/2 binary32))) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32))) n1_i) n0_i)) n0_i))
(- n1_i n0_i)
(-.f32 n1_i n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -2 n0_i) n1_i))))) n0_i)
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u) n0_i))) (-.f32 n1_i n0_i))
(- (+ n1_i (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))) n0_i)
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u) n0_i)))) (-.f32 n1_i n0_i))
(- (+ n1_i (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))) n0_i)
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u) n0_i)))) (-.f32 n1_i n0_i))
(* (pow normAngle 4) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))
(*.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (pow.f32 normAngle #s(literal 4 binary32)))
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (/.f32 u (*.f32 normAngle normAngle)) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 normAngle normAngle)))))
(* (pow normAngle 4) (- (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (/ n1_i (pow normAngle 4))))))) (/ n0_i (pow normAngle 4))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (+.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i u) (*.f32 normAngle normAngle)) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 normAngle normAngle))) (-.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (/.f32 n1_i (pow.f32 normAngle #s(literal 4 binary32)))))) (/.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))))))
(* (pow normAngle 4) (- (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (/ n1_i (pow normAngle 4))))))) (/ n0_i (pow normAngle 4))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (+.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i u) (*.f32 normAngle normAngle)) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 normAngle normAngle))) (-.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (/.f32 n1_i (pow.f32 normAngle #s(literal 4 binary32)))))) (/.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))))))
(* (pow normAngle 4) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))
(*.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (pow.f32 normAngle #s(literal 4 binary32)))
(* (pow normAngle 4) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (/.f32 u (*.f32 normAngle normAngle)) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 normAngle normAngle)))))
(* (pow normAngle 4) (- (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (/ n1_i (pow normAngle 4))))))) (/ n0_i (pow normAngle 4))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (+.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i u) (*.f32 normAngle normAngle)) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (*.f32 normAngle normAngle))) (-.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (/.f32 n1_i (pow.f32 normAngle #s(literal 4 binary32)))))) (/.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))))))
(* (pow normAngle 4) (- (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (/ n1_i (pow normAngle 4))))))) (/ n0_i (pow normAngle 4))))
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(- (+ n1_i (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) n0_i)
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i))
(- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))) n0_i)
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u) n0_i)))) (-.f32 n1_i n0_i))
(- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))) n0_i)
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u) n0_i)))) (-.f32 n1_i n0_i))
(- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))))) n0_i)
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u) n0_i)))) (-.f32 n1_i n0_i))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)))
(* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u))) (/ n0_i u)))
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(* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u))) (/ n0_i u)))
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(* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))) u))) (/ n0_i u)))
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(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)))
(* -1 (* u (+ (* -1 (/ (- (+ n1_i (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(neg.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) (neg.f32 u)))))
(* -1 (* u (+ (* -1 (/ (- (+ n1_i (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(neg.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) (neg.f32 u)))))
(* -1 (* u (+ (* -1 (/ (- (+ n1_i (* (pow normAngle 2) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
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n1_i
(* n1_i (- (+ 1 (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i))) (/ n0_i n1_i)))
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n1_i
(* -1 (* n1_i (- (* -1 (/ (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) n0_i) n1_i)) 1)))
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n1_i
(+ n1_i (* n0_i (- (* -1/2 (* (pow normAngle 2) u)) 1)))
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(+ n1_i (* n0_i (- (* -1/2 (* (pow normAngle 2) u)) 1)))
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(+ n1_i (* n0_i (- (* -1/2 (* (pow normAngle 2) u)) 1)))
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(* n0_i (- (* -1/2 (* (pow normAngle 2) u)) 1))
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(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (/ n1_i n0_i)) 1))
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(* -1 (* n0_i (+ 1 (+ (* -1 (/ n1_i n0_i)) (* 1/2 (* (pow normAngle 2) u))))))
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(- (+ n1_i (* -1/2 (* n0_i (* (pow normAngle 2) u)))) n0_i)
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(* -1/2 (* n0_i (* (pow normAngle 2) u)))
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(* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2))))
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(* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2))))
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(* -1/2 (* n0_i (* (pow normAngle 2) u)))
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(* (pow u 4) (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/18 (* n0_i (pow normAngle 2))))) u)) (* 1/24 (* n0_i (pow normAngle 4)))))
(*.f32 (pow.f32 u #s(literal 4 binary32)) (fma.f32 #s(literal 1/24 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/18 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 #s(literal -1/6 binary32) (-.f32 n0_i n1_i)))) (neg.f32 u))))
(* (pow u 4) (+ (* -1 (/ (+ (* 1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/18 (* n0_i (pow normAngle 2)))))) u)) (* 1/24 (* n0_i (pow normAngle 4)))))
(*.f32 (pow.f32 u #s(literal 4 binary32)) (fma.f32 #s(literal 1/24 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/18 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 #s(literal -1/6 binary32) (-.f32 n0_i n1_i))) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) (/.f32 (*.f32 normAngle normAngle) u))) (neg.f32 u))))
(* (pow u 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (* (pow normAngle 2) (+ (* -1/6 (+ n1_i (* 2 n0_i))) (* -1/45 (* n0_i (pow normAngle 2))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/18 (* n0_i (pow normAngle 2)))))) u)) (* 1/24 (* n0_i (pow normAngle 4)))))
(*.f32 (pow.f32 u #s(literal 4 binary32)) (fma.f32 #s(literal 1/24 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/18 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)) (*.f32 #s(literal -1/6 binary32) (-.f32 n0_i n1_i))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) n1_i (fma.f32 n0_i #s(literal -1/3 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32)) n0_i))) (-.f32 n0_i n1_i)) (neg.f32 u))) (neg.f32 u))) (neg.f32 u))))
(+ (* n0_i (- 1 u)) (* n1_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+ (* -1/6 (* (pow normAngle 2) (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))))) (+ (* n0_i (- 1 u)) (* n1_i u)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 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)) (+.f32 u #s(literal -1 binary32))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 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)) u) #s(literal 1/36 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 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)) (+.f32 u #s(literal -1 binary32))))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1))))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 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)) u) #s(literal 1/36 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 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)) (+.f32 u #s(literal -1 binary32))))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(* n0_i (* (pow normAngle 4) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 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)) u) #s(literal 1/36 binary32)))))
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 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)) u) #s(literal 1/36 binary32))) (/.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 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)) (+.f32 u #s(literal -1 binary32)))))) (*.f32 normAngle normAngle))))
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 n0_i (+.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 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)) u) #s(literal 1/36 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 normAngle #s(literal 4 binary32)))) (fma.f32 n1_i (/.f32 u (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 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)) (+.f32 u #s(literal -1 binary32)))))) (*.f32 normAngle normAngle)))))
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 n0_i (+.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 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)) u) #s(literal 1/36 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 normAngle #s(literal 4 binary32)))) (fma.f32 n1_i (/.f32 u (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 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)) (+.f32 u #s(literal -1 binary32)))))) (*.f32 normAngle normAngle)))))
(* n0_i (* (pow normAngle 4) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 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)) u) #s(literal 1/36 binary32)))))
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 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)) u) #s(literal 1/36 binary32))) (/.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 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)) (+.f32 u #s(literal -1 binary32)))))) (*.f32 normAngle normAngle))))
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 n0_i (+.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 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)) u) #s(literal 1/36 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 normAngle #s(literal 4 binary32)))) (fma.f32 n1_i (/.f32 u (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 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)) (+.f32 u #s(literal -1 binary32)))))) (*.f32 normAngle normAngle)))))
(* (pow normAngle 4) (+ (* -1/6 (/ (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (* u (- (pow u 2) 1)))) (pow normAngle 2))) (+ (* n0_i (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 n0_i (+.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 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)) u) #s(literal 1/36 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 normAngle #s(literal 4 binary32)))) (fma.f32 n1_i (/.f32 u (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 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)) (+.f32 u #s(literal -1 binary32)))))) (*.f32 normAngle normAngle)))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 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)) u) #s(literal 1/36 binary32)))) (*.f32 (fma.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)) u) #s(literal 1/6 binary32)) n0_i)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 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)) u) #s(literal 1/36 binary32)))) (*.f32 (fma.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)) u) #s(literal 1/6 binary32)) n0_i)) (*.f32 n1_i (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u) (fma.f32 u u #s(literal -1 binary32)) u))))
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 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)) u) #s(literal 1/36 binary32)))) (*.f32 (fma.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)) u) #s(literal 1/6 binary32)) n0_i)) (*.f32 n1_i (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u) (fma.f32 u u #s(literal -1 binary32)) u))))
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4)))))))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 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)) u) #s(literal 1/36 binary32)))) (*.f32 (fma.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)) u) #s(literal 1/6 binary32)) n0_i)) (*.f32 n1_i (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u) (fma.f32 u u #s(literal -1 binary32)) u))))
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u) (fma.f32 u u #s(literal -1 binary32)) u))
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))) n1_i)))))
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(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))) n1_i)))))
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(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* n0_i (* (pow normAngle 2) (+ 1/36 (+ (* -1/36 (+ u (pow (- 1 u) 3))) (* 1/120 (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))))))))) n1_i)))))
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(* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))
(*.f32 n0_i (+.f32 u (fma.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))
(* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))
(*.f32 n0_i (+.f32 u (fma.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))
(* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))
(*.f32 n0_i (+.f32 u (fma.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))
(* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))
(*.f32 n0_i (+.f32 u (fma.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))
(* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))
(*.f32 n0_i (+.f32 u (fma.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))
(* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))
(*.f32 n0_i (+.f32 u (fma.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))
(* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))
(*.f32 n0_i (+.f32 u (fma.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))
(* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))
(*.f32 n0_i (+.f32 u (fma.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))
(* n0_i (- (+ u (* (+ 1 (* -2 u)) (- 1 u))) 1))
(*.f32 n0_i (+.f32 u (fma.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))
(* -2 (* n0_i u))
(*.f32 u (*.f32 n0_i #s(literal -2 binary32)))
(* u (+ (* -2 n0_i) (* 2 (* n0_i u))))
(*.f32 u (fma.f32 #s(literal 2 binary32) (*.f32 n0_i u) (*.f32 n0_i #s(literal -2 binary32))))
(* u (+ (* -2 n0_i) (* 2 (* n0_i u))))
(*.f32 u (fma.f32 #s(literal 2 binary32) (*.f32 n0_i u) (*.f32 n0_i #s(literal -2 binary32))))
(* u (+ (* -2 n0_i) (* 2 (* n0_i u))))
(*.f32 u (fma.f32 #s(literal 2 binary32) (*.f32 n0_i u) (*.f32 n0_i #s(literal -2 binary32))))
(* 2 (* n0_i (pow u 2)))
(*.f32 #s(literal 2 binary32) (*.f32 n0_i (*.f32 u u)))
(* (pow u 2) (+ (* -2 (/ n0_i u)) (* 2 n0_i)))
(*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) (/.f32 n0_i u) (*.f32 n0_i #s(literal 2 binary32))) u) u)
(* (pow u 2) (+ (* -2 (/ n0_i u)) (* 2 n0_i)))
(*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) (/.f32 n0_i u) (*.f32 n0_i #s(literal 2 binary32))) u) u)
(* (pow u 2) (+ (* -2 (/ n0_i u)) (* 2 n0_i)))
(*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) (/.f32 n0_i u) (*.f32 n0_i #s(literal 2 binary32))) u) u)
(* 2 (* n0_i (pow u 2)))
(*.f32 #s(literal 2 binary32) (*.f32 n0_i (*.f32 u u)))
(* (pow u 2) (+ (* -2 (/ n0_i u)) (* 2 n0_i)))
(*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) (/.f32 n0_i u) (*.f32 n0_i #s(literal 2 binary32))) u) u)
(* (pow u 2) (+ (* -2 (/ n0_i u)) (* 2 n0_i)))
(*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) (/.f32 n0_i u) (*.f32 n0_i #s(literal 2 binary32))) u) u)
(* (pow u 2) (+ (* -2 (/ n0_i u)) (* 2 n0_i)))
(*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) (/.f32 n0_i u) (*.f32 n0_i #s(literal 2 binary32))) u) u)
(* 1/18 u)
(*.f32 u #s(literal 1/18 binary32))
(* u (+ 1/18 (* -1/12 u)))
(*.f32 u (fma.f32 u #s(literal -1/12 binary32) #s(literal 1/18 binary32)))
(* u (+ 1/18 (* u (- (* 1/36 u) 1/12))))
(*.f32 u (fma.f32 u (fma.f32 u #s(literal 1/36 binary32) #s(literal -1/12 binary32)) #s(literal 1/18 binary32)))
(* u (+ 1/18 (* u (- (* 1/36 u) 1/12))))
(*.f32 u (fma.f32 u (fma.f32 u #s(literal 1/36 binary32) #s(literal -1/12 binary32)) #s(literal 1/18 binary32)))
(* 1/36 (pow u 3))
(*.f32 #s(literal 1/36 binary32) (*.f32 u (*.f32 u u)))
(* (pow u 3) (- 1/36 (* 1/12 (/ 1 u))))
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 #s(literal 1/36 binary32) (/.f32 #s(literal -1/12 binary32) u)))
(* (pow u 3) (- (+ 1/36 (/ 1/18 (pow u 2))) (* 1/12 (/ 1 u))))
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 u u)) (+.f32 #s(literal 1/36 binary32) (/.f32 #s(literal -1/12 binary32) u))))
(* (pow u 3) (- (+ 1/36 (/ 1/18 (pow u 2))) (* 1/12 (/ 1 u))))
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 #s(literal 1/18 binary32) (*.f32 u u)) (+.f32 #s(literal 1/36 binary32) (/.f32 #s(literal -1/12 binary32) u))))
(* 1/36 (pow u 3))
(*.f32 #s(literal 1/36 binary32) (*.f32 u (*.f32 u u)))
(* -1 (* (pow u 3) (- (* 1/12 (/ 1 u)) 1/36)))
(*.f32 (*.f32 u (*.f32 u u)) (neg.f32 (+.f32 (/.f32 #s(literal 1/12 binary32) u) #s(literal -1/36 binary32))))
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/18 (/ 1 u)) 1/12) u)) 1/36)))
(*.f32 (neg.f32 (*.f32 u (*.f32 u u))) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/18 binary32) u) #s(literal 1/12 binary32)) u) #s(literal -1/36 binary32)))
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/18 (/ 1 u)) 1/12) u)) 1/36)))
(*.f32 (neg.f32 (*.f32 u (*.f32 u u))) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/18 binary32) u) #s(literal 1/12 binary32)) u) #s(literal -1/36 binary32)))
(* -3 u)
(*.f32 u #s(literal -3 binary32))
(* u (- (* 3 u) 3))
(*.f32 u (fma.f32 u #s(literal 3 binary32) #s(literal -3 binary32)))
(* u (- (* u (+ 3 (* -1 u))) 3))
(*.f32 u (fma.f32 u (-.f32 #s(literal 3 binary32) u) #s(literal -3 binary32)))
(* u (- (* u (+ 3 (* -1 u))) 3))
(*.f32 u (fma.f32 u (-.f32 #s(literal 3 binary32) u) #s(literal -3 binary32)))
(* -1 (pow u 3))
(neg.f32 (*.f32 u (*.f32 u u)))
(* (pow u 3) (- (* 3 (/ 1 u)) 1))
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 #s(literal 3 binary32) u) #s(literal -1 binary32)))
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2)))))
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 #s(literal 3 binary32) u) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 3 binary32) (*.f32 u u)))))
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2)))))
(*.f32 (*.f32 u (*.f32 u u)) (+.f32 (/.f32 #s(literal 3 binary32) u) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 3 binary32) (*.f32 u u)))))
(* -1 (pow u 3))
(neg.f32 (*.f32 u (*.f32 u u)))
(* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u)))))
(*.f32 (neg.f32 (*.f32 u (*.f32 u u))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -3 binary32) u)))
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u)))))
(*.f32 (neg.f32 (*.f32 u (*.f32 u u))) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal -3 binary32) u)) u)))
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u)))))
(*.f32 (neg.f32 (*.f32 u (*.f32 u u))) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal -3 binary32) u)) u)))
(* 1/45 u)
(*.f32 u #s(literal 1/45 binary32))
(* u (+ 1/45 (* -1/18 (pow u 2))))
(*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/18 binary32) #s(literal 1/45 binary32)))
(* u (+ 1/45 (* (pow u 2) (- (* 1/24 u) 1/18))))
(*.f32 u (fma.f32 (*.f32 u u) (fma.f32 u #s(literal 1/24 binary32) #s(literal -1/18 binary32)) #s(literal 1/45 binary32)))
(* u (+ 1/45 (* (pow u 2) (- (* 1/24 u) 1/18))))
(*.f32 u (fma.f32 (*.f32 u u) (fma.f32 u #s(literal 1/24 binary32) #s(literal -1/18 binary32)) #s(literal 1/45 binary32)))
(* 1/24 (pow u 4))
(*.f32 #s(literal 1/24 binary32) (pow.f32 u #s(literal 4 binary32)))
(* (pow u 4) (- 1/24 (* 1/18 (/ 1 u))))
(*.f32 (pow.f32 u #s(literal 4 binary32)) (+.f32 #s(literal 1/24 binary32) (/.f32 #s(literal -1/18 binary32) u)))
(* (pow u 4) (- (+ 1/24 (/ 1/45 (pow u 3))) (* 1/18 (/ 1 u))))
(*.f32 (pow.f32 u #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 1/45 binary32) (*.f32 u (*.f32 u u))) (+.f32 #s(literal 1/24 binary32) (/.f32 #s(literal -1/18 binary32) u))))
(* (pow u 4) (- (+ 1/24 (/ 1/45 (pow u 3))) (* 1/18 (/ 1 u))))
(*.f32 (pow.f32 u #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 1/45 binary32) (*.f32 u (*.f32 u u))) (+.f32 #s(literal 1/24 binary32) (/.f32 #s(literal -1/18 binary32) u))))
(* 1/24 (pow u 4))
(*.f32 #s(literal 1/24 binary32) (pow.f32 u #s(literal 4 binary32)))
(* (pow u 4) (- 1/24 (* 1/18 (/ 1 u))))
(*.f32 (pow.f32 u #s(literal 4 binary32)) (+.f32 #s(literal 1/24 binary32) (/.f32 #s(literal -1/18 binary32) u)))
(* (pow u 4) (+ 1/24 (* -1 (/ (- 1/18 (* 1/45 (/ 1 (pow u 2)))) u))))
(*.f32 (pow.f32 u #s(literal 4 binary32)) (-.f32 #s(literal 1/24 binary32) (/.f32 (+.f32 #s(literal 1/18 binary32) (/.f32 #s(literal -1/45 binary32) (*.f32 u u))) u)))
(* (pow u 4) (+ 1/24 (* -1 (/ (- 1/18 (* 1/45 (/ 1 (pow u 2)))) u))))
(*.f32 (pow.f32 u #s(literal 4 binary32)) (-.f32 #s(literal 1/24 binary32) (/.f32 (+.f32 #s(literal 1/18 binary32) (/.f32 #s(literal -1/45 binary32) (*.f32 u u))) u)))

eval692.0ms (3.8%)

Memory
36.5MiB live, 728.1MiB allocated
Compiler

Compiled 103 809 to 6 700 computations (93.5% saved)

prune631.0ms (3.4%)

Memory
-23.7MiB live, 829.7MiB allocated
Pruning

44 alts after pruning (41 fresh and 3 done)

PrunedKeptTotal
New1 824171 841
Fresh112435
Picked505
Done033
Total1 840441 884
Accuracy
100.0%
Counts
1 884 → 44
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(fma.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))))
99.0%
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle))))
36.1%
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u n1_i))
35.9%
(fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))) (*.f32 u n1_i))
98.9%
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/45 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
98.9%
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u) n0_i))) (-.f32 n1_i n0_i)) n0_i)
61.2%
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)) (fma.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) #s(literal -1/3 binary32) (neg.f32 n0_i))) n0_i)
61.0%
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)) (neg.f32 n0_i)) n0_i)
97.8%
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
98.8%
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (/.f32 (*.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) #s(literal -1/120 binary32)) (+.f32 n0_i n1_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i)
99.0%
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (*.f32 n0_i #s(literal -1/30 binary32)) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i)
98.9%
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) n0_i)
98.1%
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))))) n0_i)
80.4%
(fma.f32 u (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32))) n0_i)
61.1%
(fma.f32 u (*.f32 n0_i (fma.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) normAngle) normAngle (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32)))) n0_i)
79.5%
(fma.f32 u n1_i n0_i)
97.5%
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
98.7%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32))) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32)))))) (*.f32 u n1_i)))
98.8%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 u u) (fma.f32 u #s(literal 1/24 binary32) #s(literal -1/18 binary32)) #s(literal 1/45 binary32)))))) (*.f32 u n1_i)))
98.0%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.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)) (+.f32 u #s(literal -1 binary32)))) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32))) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32)))))) (*.f32 u n1_i)))
98.7%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i u))))))
60.8%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32))))
60.9%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 (*.f32 n0_i u) #s(literal -1/3 binary32))))))
60.9%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (*.f32 n0_i #s(literal 1/3 binary32))))))
60.7%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (*.f32 u (*.f32 u u))))))
59.7%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (+.f32 u #s(literal -1 binary32)) (*.f32 u (+.f32 u #s(literal -1 binary32)))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))))))
60.9%
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (*.f32 u (fma.f32 u (-.f32 #s(literal 3 binary32) u) #s(literal -2 binary32)))))))
60.9%
(fma.f32 n0_i (neg.f32 u) n0_i)
32.1%
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
99.0%
(+.f32 (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32) (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (*.f32 #s(literal 1/6 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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))))) (fma.f32 #s(literal -1/120 binary32) (neg.f32 u) #s(literal -1/120 binary32))) (fma.f32 #s(literal 1/6 binary32) (neg.f32 u) #s(literal 1/6 binary32)))) #s(literal 1 binary32)) u) n0_i) (*.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i))
98.9%
(+.f32 (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (*.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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal 1 binary32)) u) n0_i) (*.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i))
80.2%
(+.f32 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))
80.5%
(+.f32 n0_i (*.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i))
62.6%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
60.7%
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (neg.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/840 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i #s(literal -7/360 binary32)))) (*.f32 n0_i #s(literal -7/360 binary32)))) (*.f32 n0_i #s(literal 1/6 binary32))) n0_i) normAngle))
60.7%
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
35.9%
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u) (fma.f32 u u #s(literal -1 binary32)) u))
36.1%
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 7/360 binary32))) u))
97.1%
(*.f32 n1_i (fma.f32 u (/.f32 (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) n1_i) (+.f32 (/.f32 n0_i n1_i) u)))
35.1%
(*.f32 n1_i u)
61.0%
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/45 binary32) (fma.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)) u) #s(literal 1/6 binary32))) (-.f32 #s(literal 1 binary32) u)))
60.9%
(*.f32 n0_i (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (+.f32 u (fma.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)))
60.7%
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
46.7%
n0_i
Compiler

Compiled 3 650 to 1 154 computations (68.4% saved)

regimes137.0ms (0.7%)

Memory
-0.3MiB live, 254.2MiB allocated
Counts
87 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n1_i u)
(fma.f32 u n1_i n0_i)
(*.f32 n0_i (neg.f32 u))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(*.f32 (+.f32 u #s(literal -1 binary32)) n0_i)
(fma.f32 n0_i (neg.f32 u) n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (neg.f32 n0_i) (*.f32 n0_i u))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(*.f32 u (-.f32 (/.f32 n0_i u) n0_i))
(fma.f32 u (fma.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (neg.f32 n0_i)) n0_i)
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)) (neg.f32 n0_i)) n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32))))
(*.f32 n1_i (fma.f32 (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) u))
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u) (fma.f32 u u #s(literal -1 binary32)) u))
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u))) n0_i)
(fma.f32 u (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32))) n0_i)
(+.f32 n0_i (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))) (*.f32 u n1_i))
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (*.f32 u (*.f32 u u))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (*.f32 n0_i #s(literal 1/3 binary32))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 (*.f32 n0_i u) #s(literal -1/3 binary32))))))
(*.f32 n0_i (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (+.f32 u (fma.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u) n0_i))) (-.f32 n1_i n0_i)) n0_i)
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (*.f32 u (fma.f32 u (-.f32 #s(literal 3 binary32) u) #s(literal -2 binary32)))))))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)) (fma.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) #s(literal -1/3 binary32) (neg.f32 n0_i))) n0_i)
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))))) n0_i)
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/45 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 7/360 binary32))) u))
(fma.f32 u (*.f32 n0_i (fma.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) normAngle) normAngle (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 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 #s(literal 1/45 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))))))
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))))) n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle 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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))))))
(*.f32 n1_i (fma.f32 u (/.f32 (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) n1_i) (+.f32 (/.f32 n0_i n1_i) u)))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (+.f32 u #s(literal -1 binary32)) (*.f32 u (+.f32 u #s(literal -1 binary32)))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u n1_i))
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/45 binary32) (fma.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)) u) #s(literal 1/6 binary32))) (-.f32 #s(literal 1 binary32) u)))
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i u))))))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 u n1_i (*.f32 (*.f32 normAngle normAngle) (fma.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 n1_i #s(literal -1/6 binary32)) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))))
(fma.f32 u (+.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (neg.f32 n0_i))) n0_i)
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (*.f32 n0_i #s(literal -1/30 binary32)) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i)
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i)
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (/.f32 (*.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) #s(literal -1/120 binary32)) (+.f32 n0_i n1_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 u u) (fma.f32 u #s(literal 1/24 binary32) #s(literal -1/18 binary32)) #s(literal 1/45 binary32)))))) (*.f32 u n1_i)))
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (/.f32 (*.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) #s(literal -1/120 binary32)) (+.f32 n0_i n1_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i)
(/.f32 (*.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))))) (*.f32 u n1_i)))
(+.f32 n0_i (*.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.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)) (+.f32 u #s(literal -1 binary32)))) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32))) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32)))))) (*.f32 u n1_i)))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32))) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32)))))) (*.f32 u n1_i)))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32))) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32)))))) (*.f32 u n1_i)))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 (*.f32 u u) (fma.f32 n0_i #s(literal -1/12 binary32) (fma.f32 #s(literal 1/24 binary32) (*.f32 u n0_i) (*.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i)))) (neg.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))))))))) (*.f32 u n1_i)))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (fma.f32 (fma.f32 (+.f32 u #s(literal -1 binary32)) (fma.f32 (+.f32 u #s(literal -1 binary32)) (+.f32 u #s(literal -1 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32)) (fma.f32 (+.f32 u #s(literal -1 binary32)) (+.f32 u #s(literal -1 binary32)) #s(literal 0 binary32)) (+.f32 u #s(literal -1 binary32))) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32)))))) (*.f32 u n1_i)))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (-.f32 (fma.f32 (*.f32 u u) (fma.f32 n0_i #s(literal -1/12 binary32) (fma.f32 u (fma.f32 #s(literal 1/120 binary32) (*.f32 u (-.f32 n1_i n0_i)) (*.f32 n0_i #s(literal 1/24 binary32))) (*.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i)))) (*.f32 n0_i #s(literal -1/24 binary32))) (fma.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))))))) (*.f32 u n1_i)))
(+.f32 (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (*.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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal 1 binary32)) u) n0_i) (*.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (neg.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/840 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i #s(literal -7/360 binary32)))) (*.f32 n0_i #s(literal -7/360 binary32)))) (*.f32 n0_i #s(literal 1/6 binary32))) n0_i) normAngle))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (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)) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1/36 binary32) #s(literal 1/36 binary32)))))) (*.f32 u 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 u n1_i))
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(fma.f32 u (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)))) n0_i)
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u) n1_i))
(fma.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) u) n1_i (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(+.f32 (*.f32 (fma.f32 normAngle (*.f32 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 (neg.f32 n0_i) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 (*.f32 u (*.f32 u u)) (sin.f32 normAngle))) (fma.f32 n1_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)) (*.f32 u u)) (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle))))) (neg.f32 (*.f32 u (*.f32 u u))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(+.f32 (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32) (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (*.f32 #s(literal 1/6 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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))))) (fma.f32 #s(literal -1/120 binary32) (neg.f32 u) #s(literal -1/120 binary32))) (fma.f32 #s(literal 1/6 binary32) (neg.f32 u) #s(literal 1/6 binary32)))) #s(literal 1 binary32)) u) n0_i) (*.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i))
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle))))
(fma.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))))
(fma.f32 u (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (-.f32 #s(literal 0 binary32) (sin.f32 normAngle)))) n0_i)
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i))
(fma.f32 u (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 0 binary32) (cos.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle)) (*.f32 u (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 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 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 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)))))) (*.f32 u n1_i)))
(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (/.f32 (*.f32 normAngle (fma.f32 u (neg.f32 u) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u))) (/.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 (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (/.f32 (*.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) #s(literal -1/120 binary32)) (+.f32 n0_i n1_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i)
Calls

5 calls:

31.0ms
n0_i
27.0ms
(+.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))
24.0ms
u
23.0ms
n1_i
22.0ms
normAngle
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)

regimes68.0ms (0.4%)

Memory
-9.7MiB live, 144.8MiB allocated
Counts
52 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n1_i u)
(fma.f32 u n1_i n0_i)
(*.f32 n0_i (neg.f32 u))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(*.f32 (+.f32 u #s(literal -1 binary32)) n0_i)
(fma.f32 n0_i (neg.f32 u) n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (neg.f32 n0_i) (*.f32 n0_i u))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(*.f32 u (-.f32 (/.f32 n0_i u) n0_i))
(fma.f32 u (fma.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (neg.f32 n0_i)) n0_i)
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)) (neg.f32 n0_i)) n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32))))
(*.f32 n1_i (fma.f32 (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) u))
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u) (fma.f32 u u #s(literal -1 binary32)) u))
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u))) n0_i)
(fma.f32 u (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32))) n0_i)
(+.f32 n0_i (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))) (*.f32 u n1_i))
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (*.f32 u (*.f32 u u))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (*.f32 n0_i #s(literal 1/3 binary32))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 (*.f32 n0_i u) #s(literal -1/3 binary32))))))
(*.f32 n0_i (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (+.f32 u (fma.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u) n0_i))) (-.f32 n1_i n0_i)) n0_i)
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (*.f32 u (fma.f32 u (-.f32 #s(literal 3 binary32) u) #s(literal -2 binary32)))))))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)) (fma.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) #s(literal -1/3 binary32) (neg.f32 n0_i))) n0_i)
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))))) n0_i)
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/45 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 7/360 binary32))) u))
(fma.f32 u (*.f32 n0_i (fma.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) normAngle) normAngle (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 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 #s(literal 1/45 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))))))
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))))) n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle 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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))))))
(*.f32 n1_i (fma.f32 u (/.f32 (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) n1_i) (+.f32 (/.f32 n0_i n1_i) u)))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (+.f32 u #s(literal -1 binary32)) (*.f32 u (+.f32 u #s(literal -1 binary32)))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u n1_i))
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/45 binary32) (fma.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)) u) #s(literal 1/6 binary32))) (-.f32 #s(literal 1 binary32) u)))
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i u))))))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 u n1_i (*.f32 (*.f32 normAngle normAngle) (fma.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 n1_i #s(literal -1/6 binary32)) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))))
(fma.f32 u (+.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (neg.f32 n0_i))) n0_i)
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (*.f32 n0_i #s(literal -1/30 binary32)) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i)
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i)
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (/.f32 (*.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) #s(literal -1/120 binary32)) (+.f32 n0_i n1_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 (*.f32 normAngle normAngle) (*.f32 n0_i (*.f32 u (fma.f32 (*.f32 u u) (fma.f32 u #s(literal 1/24 binary32) #s(literal -1/18 binary32)) #s(literal 1/45 binary32)))))) (*.f32 u n1_i)))
Outputs
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i)
Calls

4 calls:

17.0ms
u
16.0ms
n0_i
15.0ms
n1_i
14.0ms
normAngle
Results
AccuracySegmentsBranch
99.1%1normAngle
99.1%1u
99.1%1n0_i
99.1%1n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes63.0ms (0.3%)

Memory
6.9MiB live, 127.7MiB allocated
Counts
49 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n1_i u)
(fma.f32 u n1_i n0_i)
(*.f32 n0_i (neg.f32 u))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(*.f32 (+.f32 u #s(literal -1 binary32)) n0_i)
(fma.f32 n0_i (neg.f32 u) n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (neg.f32 n0_i) (*.f32 n0_i u))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(*.f32 u (-.f32 (/.f32 n0_i u) n0_i))
(fma.f32 u (fma.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (neg.f32 n0_i)) n0_i)
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)) (neg.f32 n0_i)) n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32))))
(*.f32 n1_i (fma.f32 (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) u))
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u) (fma.f32 u u #s(literal -1 binary32)) u))
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u))) n0_i)
(fma.f32 u (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32))) n0_i)
(+.f32 n0_i (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))) (*.f32 u n1_i))
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (*.f32 u (*.f32 u u))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (*.f32 n0_i #s(literal 1/3 binary32))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 (*.f32 n0_i u) #s(literal -1/3 binary32))))))
(*.f32 n0_i (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (+.f32 u (fma.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u) n0_i))) (-.f32 n1_i n0_i)) n0_i)
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (*.f32 u (fma.f32 u (-.f32 #s(literal 3 binary32) u) #s(literal -2 binary32)))))))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)) (fma.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) #s(literal -1/3 binary32) (neg.f32 n0_i))) n0_i)
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))))) n0_i)
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/45 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 7/360 binary32))) u))
(fma.f32 u (*.f32 n0_i (fma.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) normAngle) normAngle (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 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 #s(literal 1/45 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))))))
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))))) n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle 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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))))))
(*.f32 n1_i (fma.f32 u (/.f32 (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) n1_i) (+.f32 (/.f32 n0_i n1_i) u)))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (+.f32 u #s(literal -1 binary32)) (*.f32 u (+.f32 u #s(literal -1 binary32)))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u n1_i))
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/45 binary32) (fma.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)) u) #s(literal 1/6 binary32))) (-.f32 #s(literal 1 binary32) u)))
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i u))))))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 u n1_i (*.f32 (*.f32 normAngle normAngle) (fma.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 n1_i #s(literal -1/6 binary32)) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))))
(fma.f32 u (+.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (neg.f32 n0_i))) n0_i)
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (*.f32 n0_i #s(literal -1/30 binary32)) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i)
Outputs
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (*.f32 n0_i #s(literal -1/30 binary32)) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i)
Calls

4 calls:

16.0ms
u
14.0ms
normAngle
14.0ms
n1_i
13.0ms
n0_i
Results
AccuracySegmentsBranch
99.0%1normAngle
99.0%1u
99.0%1n0_i
99.0%1n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes62.0ms (0.3%)

Memory
8.1MiB live, 125.6MiB allocated
Counts
48 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n1_i u)
(fma.f32 u n1_i n0_i)
(*.f32 n0_i (neg.f32 u))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(*.f32 (+.f32 u #s(literal -1 binary32)) n0_i)
(fma.f32 n0_i (neg.f32 u) n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (neg.f32 n0_i) (*.f32 n0_i u))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(*.f32 u (-.f32 (/.f32 n0_i u) n0_i))
(fma.f32 u (fma.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (neg.f32 n0_i)) n0_i)
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)) (neg.f32 n0_i)) n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32))))
(*.f32 n1_i (fma.f32 (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) u))
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u) (fma.f32 u u #s(literal -1 binary32)) u))
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u))) n0_i)
(fma.f32 u (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32))) n0_i)
(+.f32 n0_i (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))) (*.f32 u n1_i))
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (*.f32 u (*.f32 u u))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (*.f32 n0_i #s(literal 1/3 binary32))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 (*.f32 n0_i u) #s(literal -1/3 binary32))))))
(*.f32 n0_i (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (+.f32 u (fma.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u) n0_i))) (-.f32 n1_i n0_i)) n0_i)
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (*.f32 u (fma.f32 u (-.f32 #s(literal 3 binary32) u) #s(literal -2 binary32)))))))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)) (fma.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) #s(literal -1/3 binary32) (neg.f32 n0_i))) n0_i)
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))))) n0_i)
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/45 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 7/360 binary32))) u))
(fma.f32 u (*.f32 n0_i (fma.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) normAngle) normAngle (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 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 #s(literal 1/45 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))))))
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))))) n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle 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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))))))
(*.f32 n1_i (fma.f32 u (/.f32 (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) n1_i) (+.f32 (/.f32 n0_i n1_i) u)))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (+.f32 u #s(literal -1 binary32)) (*.f32 u (+.f32 u #s(literal -1 binary32)))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u n1_i))
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/45 binary32) (fma.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)) u) #s(literal 1/6 binary32))) (-.f32 #s(literal 1 binary32) u)))
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i u))))))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal -1 binary32)) (*.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 u n1_i (*.f32 (*.f32 normAngle normAngle) (fma.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 n1_i #s(literal -1/6 binary32)) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))))
(fma.f32 u (+.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (neg.f32 n0_i))) n0_i)
Outputs
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (-.f32 n1_i n0_i)) n0_i)
Calls

4 calls:

15.0ms
normAngle
15.0ms
n0_i
14.0ms
n1_i
12.0ms
u
Results
AccuracySegmentsBranch
99.0%1normAngle
99.0%1u
99.0%1n0_i
99.0%1n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes53.0ms (0.3%)

Memory
6.9MiB live, 123.7MiB allocated
Counts
44 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n1_i u)
(fma.f32 u n1_i n0_i)
(*.f32 n0_i (neg.f32 u))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(*.f32 (+.f32 u #s(literal -1 binary32)) n0_i)
(fma.f32 n0_i (neg.f32 u) n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (neg.f32 n0_i) (*.f32 n0_i u))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(*.f32 u (-.f32 (/.f32 n0_i u) n0_i))
(fma.f32 u (fma.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (neg.f32 n0_i)) n0_i)
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)) (neg.f32 n0_i)) n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32))))
(*.f32 n1_i (fma.f32 (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) u))
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u) (fma.f32 u u #s(literal -1 binary32)) u))
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u))) n0_i)
(fma.f32 u (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32))) n0_i)
(+.f32 n0_i (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))) (*.f32 u n1_i))
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (*.f32 u (*.f32 u u))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (*.f32 n0_i #s(literal 1/3 binary32))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 (*.f32 n0_i u) #s(literal -1/3 binary32))))))
(*.f32 n0_i (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (+.f32 u (fma.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u) n0_i))) (-.f32 n1_i n0_i)) n0_i)
(+.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (*.f32 u (fma.f32 u (-.f32 #s(literal 3 binary32) u) #s(literal -2 binary32)))))))
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)) (fma.f32 (*.f32 n0_i (*.f32 (*.f32 normAngle normAngle) u)) #s(literal -1/3 binary32) (neg.f32 n0_i))) n0_i)
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))))) n0_i)
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/45 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 7/360 binary32))) u))
(fma.f32 u (*.f32 n0_i (fma.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) normAngle) normAngle (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 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 #s(literal 1/45 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))))))
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u))))) n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle 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)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))))))
(*.f32 n1_i (fma.f32 u (/.f32 (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1 binary32))) n1_i) (+.f32 (/.f32 n0_i n1_i) u)))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (+.f32 u #s(literal -1 binary32)) (*.f32 u (+.f32 u #s(literal -1 binary32)))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 u n1_i))
(*.f32 n0_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/45 binary32) (fma.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)) u) #s(literal 1/6 binary32))) (-.f32 #s(literal 1 binary32) u)))
(*.f32 (*.f32 u (*.f32 u u)) (fma.f32 n1_i (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (*.f32 normAngle normAngle)))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i u))))))
Outputs
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u) n0_i))) (-.f32 n1_i n0_i)) n0_i)
Calls

4 calls:

13.0ms
n0_i
13.0ms
n1_i
13.0ms
normAngle
11.0ms
u
Results
AccuracySegmentsBranch
98.9%1normAngle
98.9%1u
98.9%1n0_i
98.9%1n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes37.0ms (0.2%)

Memory
-27.5MiB live, 101.6MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n1_i u)
(fma.f32 u n1_i n0_i)
(*.f32 n0_i (neg.f32 u))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(*.f32 (+.f32 u #s(literal -1 binary32)) n0_i)
(fma.f32 n0_i (neg.f32 u) n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (neg.f32 n0_i) (*.f32 n0_i u))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(*.f32 u (-.f32 (/.f32 n0_i u) n0_i))
(fma.f32 u (fma.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (neg.f32 n0_i)) n0_i)
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)) (neg.f32 n0_i)) n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32))))
(*.f32 n1_i (fma.f32 (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) u))
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u) (fma.f32 u u #s(literal -1 binary32)) u))
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u))) n0_i)
(fma.f32 u (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32))) n0_i)
(+.f32 n0_i (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))) (*.f32 u n1_i))
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (*.f32 u (*.f32 u u))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (*.f32 n0_i #s(literal 1/3 binary32))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 (*.f32 n0_i u) #s(literal -1/3 binary32))))))
(*.f32 n0_i (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (+.f32 u (fma.f32 (fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)))
Outputs
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) n0_i)
Calls

4 calls:

12.0ms
n1_i
8.0ms
n0_i
8.0ms
normAngle
7.0ms
u
Results
AccuracySegmentsBranch
98.9%1normAngle
98.9%1u
98.9%1n0_i
98.9%1n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes27.0ms (0.1%)

Memory
0.8MiB live, 82.7MiB allocated
Counts
21 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n1_i u)
(fma.f32 u n1_i n0_i)
(*.f32 n0_i (neg.f32 u))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(*.f32 (+.f32 u #s(literal -1 binary32)) n0_i)
(fma.f32 n0_i (neg.f32 u) n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+.f32 (neg.f32 n0_i) (*.f32 n0_i u))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(*.f32 u (-.f32 (/.f32 n0_i u) n0_i))
(fma.f32 u (fma.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (neg.f32 n0_i)) n0_i)
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)) (neg.f32 n0_i)) n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32))))
(*.f32 n1_i (fma.f32 (*.f32 u (*.f32 normAngle normAngle)) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) u))
(*.f32 n1_i (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u) (fma.f32 u u #s(literal -1 binary32)) u))
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u))) n0_i)
(fma.f32 u (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32))) n0_i)
(+.f32 n0_i (*.f32 (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 u u #s(literal -1 binary32))) (*.f32 u n1_i))
Outputs
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
Calls

4 calls:

7.0ms
u
7.0ms
n1_i
6.0ms
n0_i
6.0ms
normAngle
Results
AccuracySegmentsBranch
97.8%1normAngle
97.8%1u
97.8%1n0_i
97.8%1n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes12.0ms (0.1%)

Memory
-8.3MiB live, 31.3MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
n0_i
(*.f32 n1_i u)
(fma.f32 u n1_i n0_i)
(*.f32 n0_i (neg.f32 u))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(*.f32 (+.f32 u #s(literal -1 binary32)) n0_i)
(fma.f32 n0_i (neg.f32 u) n0_i)
Outputs
(fma.f32 u n1_i n0_i)
(fma.f32 n0_i (neg.f32 u) n0_i)
(fma.f32 u n1_i n0_i)
Calls

4 calls:

3.0ms
u
3.0ms
n1_i
3.0ms
n0_i
3.0ms
normAngle
Results
AccuracySegmentsBranch
79.5%1normAngle
79.5%1u
79.5%1n0_i
86.9%3n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes3.0ms (0%)

Memory
8.7MiB live, 8.7MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
n0_i
(*.f32 n1_i u)
(fma.f32 u n1_i n0_i)
(*.f32 n0_i (neg.f32 u))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(*.f32 (+.f32 u #s(literal -1 binary32)) n0_i)
Outputs
(fma.f32 u n1_i n0_i)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(fma.f32 u n1_i n0_i)
Calls

1 calls:

3.0ms
n1_i
Results
AccuracySegmentsBranch
86.7%3n1_i
Compiler

Compiled 5 to 4 computations (20% saved)

regimes2.0ms (0%)

Memory
7.8MiB live, 7.8MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
n0_i
(*.f32 n1_i u)
(fma.f32 u n1_i n0_i)
(*.f32 n0_i (neg.f32 u))
Outputs
(fma.f32 u n1_i n0_i)
Calls

1 calls:

2.0ms
n1_i
Results
AccuracySegmentsBranch
79.5%1n1_i
Compiler

Compiled 5 to 4 computations (20% saved)

regimes7.0ms (0%)

Memory
-17.6MiB live, 21.8MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
n0_i
(*.f32 n1_i u)
Outputs
(*.f32 n1_i u)
n0_i
(*.f32 n1_i u)
Calls

4 calls:

2.0ms
u
2.0ms
n1_i
2.0ms
n0_i
1.0ms
normAngle
Results
AccuracySegmentsBranch
46.7%1normAngle
50.0%2u
57.6%3n0_i
58.5%3n1_i
Compiler

Compiled 20 to 16 computations (20% saved)

regimes4.0ms (0%)

Memory
13.5MiB live, 13.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
n1_i
1.0ms
n0_i
1.0ms
u
Results
AccuracySegmentsBranch
46.7%1u
46.7%1n0_i
46.7%1n1_i
Compiler

Compiled 15 to 12 computations (20% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
2.376441836147615e-22
2.859784612058964e-22
0.0ms
-4.934886631121946e-24
-1.5218136357152968e-25
Compiler

Compiled 32 to 24 computations (25% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
2.376441836147615e-22
2.859784612058964e-22
0.0ms
-4.934886631121946e-24
-1.5218136357152968e-25
Compiler

Compiled 32 to 24 computations (25% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
2.1480057316169976e-11
1.148455566757356e-10
0.0ms
-5.400079057026868e-19
-3.9858961851241196e-19
Compiler

Compiled 32 to 24 computations (25% saved)

simplify13.0ms (0.1%)

Memory
-7.5MiB live, 32.1MiB allocated
Algorithm
egg-herbie
Rules
38×*-commutative_binary32
26×+-commutative_binary32
10×sub-neg_binary32
neg-sub0_binary32
neg-mul-1_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086280
1128280
2136280
3140280
4141280
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (/.f32 (*.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) #s(literal -1/120 binary32)) (+.f32 n0_i n1_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i)
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i)
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (*.f32 n0_i #s(literal -1/30 binary32)) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.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 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (-.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 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u) n0_i))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(if (<=.f32 n1_i #s(literal -10141205/2535301200456458802993406410752 binary32)) (fma.f32 u n1_i n0_i) (if (<=.f32 n1_i #s(literal 309485/1237940039285380274899124224 binary32)) (fma.f32 n0_i (neg.f32 u) n0_i) (fma.f32 u n1_i n0_i)))
(if (<=.f32 n1_i #s(literal -10141205/2535301200456458802993406410752 binary32)) (fma.f32 u n1_i n0_i) (if (<=.f32 n1_i #s(literal 309485/1237940039285380274899124224 binary32)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (fma.f32 u n1_i n0_i)))
(fma.f32 u n1_i n0_i)
(if (<=.f32 n1_i #s(literal -9671407/19342813113834066795298816 binary32)) (*.f32 n1_i u) (if (<=.f32 n1_i #s(literal 11529215/288230376151711744 binary32)) n0_i (*.f32 n1_i u)))
n0_i
Outputs
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (/.f32 (*.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) #s(literal -1/120 binary32)) (+.f32 n0_i n1_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i)
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (/.f32 (*.f32 (*.f32 (-.f32 n1_i n0_i) (+.f32 n1_i n0_i)) #s(literal -1/120 binary32)) (+.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i)
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i)
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))) (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i)
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (*.f32 n0_i #s(literal -1/30 binary32)) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 u (*.f32 normAngle normAngle)))))) n0_i)
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (+.f32 (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))) (*.f32 n0_i #s(literal -1/30 binary32))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (*.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 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -1/24 binary32)))) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/6 binary32))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) u) n0_i))) (-.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 n1_i #s(literal 1/6 binary32) (*.f32 n0_i (*.f32 u #s(literal -1/2 binary32))))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(if (<=.f32 n1_i #s(literal -10141205/2535301200456458802993406410752 binary32)) (fma.f32 u n1_i n0_i) (if (<=.f32 n1_i #s(literal 309485/1237940039285380274899124224 binary32)) (fma.f32 n0_i (neg.f32 u) n0_i) (fma.f32 u n1_i n0_i)))
(if (<=.f32 n1_i #s(literal -10141205/2535301200456458802993406410752 binary32)) (fma.f32 u n1_i n0_i) (if (<=.f32 n1_i #s(literal 309485/1237940039285380274899124224 binary32)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (fma.f32 u n1_i n0_i)))
(fma.f32 u n1_i n0_i)
(if (<=.f32 n1_i #s(literal -9671407/19342813113834066795298816 binary32)) (*.f32 n1_i u) (if (<=.f32 n1_i #s(literal 11529215/288230376151711744 binary32)) n0_i (*.f32 n1_i u)))
(if (<=.f32 n1_i #s(literal -9671407/19342813113834066795298816 binary32)) (*.f32 u n1_i) (if (<=.f32 n1_i #s(literal 11529215/288230376151711744 binary32)) n0_i (*.f32 u n1_i)))
n0_i

soundness1.0s (5.7%)

Memory
37.8MiB live, 1 220.1MiB allocated
Rules
13 832×accelerator-lowering-fma.f32
13 832×accelerator-lowering-fma.f64
12 646×accelerator-lowering-fma.f32
12 646×accelerator-lowering-fma.f64
10 086×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085012544
1287412033
0856810998
073350
1522347
25422347
09087311
096112380
1330311844
0802511161
089910946
1308510560
081769859
03593068
111132964
238632904
089302781
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 794 to 370 computations (53.4% saved)

preprocess97.0ms (0.5%)

Memory
-19.4MiB live, 136.4MiB allocated
Remove

(abs normAngle)

Compiler

Compiled 1 350 to 552 computations (59.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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