Curve intersection, scale width based on ribbon orientation

Time bar (total: 11.3s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze410.0ms (3.6%)

Memory
-3.1MiB live, 757.8MiB allocated; 121ms collecting garbage
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)

sample3.8s (33.5%)

Memory
66.5MiB live, 5 699.5MiB allocated; 1.3s collecting garbage
Samples
2.2s8 256×0valid
753.0ms2 046×0invalid
Precisions
Click to see histograms. Total time spent on operations: 2.3s
ival-sin: 652.0ms (27.8% of total)
ival-mult: 583.0ms (24.9% of total)
ival-<=: 311.0ms (13.3% of total)
const: 296.0ms (12.6% of total)
ival-div: 216.0ms (9.2% of total)
ival-sub: 71.0ms (3% of total)
ival-add: 69.0ms (2.9% of total)
ival-pi: 62.0ms (2.6% of total)
ival-and: 56.0ms (2.4% of total)
exact: 22.0ms (0.9% of total)
ival-assert: 5.0ms (0.2% of total)
adjust: 4.0ms (0.2% of total)
Bogosity

explain306.0ms (2.7%)

Memory
-0.2MiB live, 286.4MiB allocated; 71ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
170-14(1.3641499901987334e-33 8.300230724955782e-9 2.3974301044706924e-26 3.9653020386882194e-35)(*.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*u10
Confusion
Predicted +Predicted -
+14
-0251
Precision
1.0
Recall
0.2
Confusion?
Predicted +Predicted MaybePredicted -
+104
-00251
Precision?
1.0
Recall?
0.2
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
69.0ms496×0valid
4.0ms16×1valid
Compiler

Compiled 231 to 55 computations (76.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-mult: 17.0ms (32.6% of total)
ival-sub: 15.0ms (28.7% of total)
ival-sin: 12.0ms (23% of total)
ival-div: 4.0ms (7.7% of total)
ival-add: 2.0ms (3.8% of total)
adjust: 1.0ms (1.9% of total)
ival-true: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess260.0ms (2.3%)

Memory
37.8MiB live, 230.1MiB allocated; 58ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106368
1284302
2842268
32688256
44855252
57086252
01725
02925
14921
211018
331418
462718
598818
6169418
7347118
8689518
0838917
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
Outputs
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
Symmetry

(abs normAngle)

Compiler

Compiled 25 to 17 computations (32% saved)

eval0.0ms (0%)

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

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.6%
(+.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 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
Compiler

Compiled 25 to 17 computations (32% saved)

simplify221.0ms (2%)

Memory
-35.3MiB live, 200.0MiB allocated; 30ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
cost-diff2
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
cost-diff2
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
cost-diff4
(+.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))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017101
029101
14989
211086
331486
462786
598886
6169486
7347186
8689586
0838985
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n0_i
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
n1_i
Outputs
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n0_i
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(sin.f32 (*.f32 u normAngle))
(sin.f32 (*.f32 normAngle u))
(*.f32 u normAngle)
(*.f32 normAngle u)
n1_i

localize110.0ms (1%)

Memory
-0.5MiB live, 147.6MiB allocated; 12ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.14453125
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
accuracy0.1484375
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
accuracy0.38900375976844204
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
accuracy1.2459620346720166
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
Samples
94.0ms248×0valid
2.0ms1valid
Compiler

Compiled 103 to 19 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-mult: 50.0ms (58.4% of total)
ival-sub: 26.0ms (30.4% of total)
ival-sin: 6.0ms (7% of total)
ival-div: 2.0ms (2.3% of total)
ival-add: 1.0ms (1.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series39.0ms (0.3%)

Memory
46.7MiB live, 91.8MiB allocated; 7ms collecting garbage
Counts
5 → 49
Calls
Call 1
Inputs
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
Outputs
(+ (* 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)))))))
(- 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)
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))))
(* 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))))))
(* normAngle (- 1 u))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -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))))))
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))))))))
(/ (* 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))))
(+ 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))))))))
normAngle
(+ normAngle (* -1 (* normAngle u)))
(* -1 (* normAngle u))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* 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)))))))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* 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)))))))
Calls

12 calls:

TimeVariablePointExpression
6.0ms
u
@-inf
((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (- 1 u) normAngle))
6.0ms
n0_i
@0
((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (- 1 u) normAngle))
5.0ms
normAngle
@0
((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (- 1 u) normAngle))
5.0ms
normAngle
@-inf
((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (- 1 u) normAngle))
3.0ms
normAngle
@inf
((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (- 1 u) normAngle))

simplify259.0ms (2.3%)

Memory
-26.6MiB live, 565.4MiB allocated; 103ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03211535
110921412
244151356
082081277
Stop Event
iter limit
node limit
Counts
49 → 46
Calls
Call 1
Inputs
(+ (* 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)))))))
(- 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)
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))))
(* 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))))))
(* normAngle (- 1 u))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -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))))))
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))))))))
(/ (* 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))))
(+ 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))))))))
normAngle
(+ normAngle (* -1 (* normAngle u)))
(* -1 (* normAngle u))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* 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)))))))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* 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)))))))
Outputs
(+ (* n0_i (- 1 u)) (* n1_i u))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 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)))))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 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)))))))
(fma.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 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)))))))
(fma.f32 (fma.f32 (-.f32 (fma.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)) #s(literal 1/120 binary32) (*.f32 (-.f32 (*.f32 (fma.f32 (pow.f32 u #s(literal 7 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i)) #s(literal -1/5040 binary32)) (fma.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.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 (pow.f32 u #s(literal 3 binary32)) u)))) (-.f32 (*.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 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (+.f32 #s(literal -1 binary32) u)))))) (fma.f32 #s(literal -1/720 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 #s(literal -1/5040 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))))) (*.f32 normAngle normAngle))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
(- 1 u)
(-.f32 #s(literal 1 binary32) u)
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u)
(fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u))
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
(-.f32 (fma.f32 (fma.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) #s(literal -1/6 binary32) (*.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) #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)
(-.f32 (fma.f32 (fma.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) #s(literal -1/6 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/5040 binary32) (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u)
u
(+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u))))
(fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u)
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u))))
(fma.f32 (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32) (*.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u)) (*.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) 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 (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 u #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u)) (*.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 #s(literal -1/5040 binary32) u)))) (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u)) (*.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) u)
(* n0_i (- 1 u))
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 (*.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 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (+.f32 #s(literal -1 binary32) u))))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.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 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (+.f32 #s(literal -1 binary32) u))))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (*.f32 n0_i (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (+.f32 #s(literal -1 binary32) u))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))))) (*.f32 normAngle normAngle) (-.f32 (*.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 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (+.f32 #s(literal -1 binary32) u)))))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(* normAngle (- 1 u))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u 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 (fma.f32 (*.f32 u (*.f32 #s(literal -1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u 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 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) normAngle) normAngle (*.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n0_i)) (cos.f32 normAngle) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) #s(literal -1/6 binary32))) (sin.f32 normAngle)) u)) u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u n0_i)
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))
(fma.f32 (*.f32 (cos.f32 normAngle) (/.f32 u (sin.f32 normAngle))) (neg.f32 normAngle) #s(literal 1 binary32))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))
(fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 normAngle u) normAngle) #s(literal -1/2 binary32)) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) u #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 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) u)) (cos.f32 normAngle)) u (*.f32 (neg.f32 normAngle) (cos.f32 normAngle))) (sin.f32 normAngle))) u #s(literal 1 binary32))
(/ (* normAngle u) (sin normAngle))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle))))
(*.f32 (/.f32 (fma.f32 (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) normAngle) (sin.f32 normAngle)) u)
(* 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 (fma.f32 (/.f32 (fma.f32 (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32)) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32))) (sin.f32 normAngle)) (*.f32 u u) (/.f32 normAngle (sin.f32 normAngle))) u)
(* 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 (fma.f32 (pow.f32 u #s(literal 4 binary32)) (/.f32 (fma.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 normAngle #s(literal 7 binary32))) (*.f32 u u))) (sin.f32 normAngle)) (/.f32 (fma.f32 (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) normAngle) (sin.f32 normAngle))) u)
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(fma.f32 (neg.f32 n0_i) (*.f32 (*.f32 (cos.f32 normAngle) u) (/.f32 normAngle (sin.f32 normAngle))) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))
(fma.f32 (*.f32 n0_i (-.f32 (*.f32 (*.f32 (*.f32 normAngle u) normAngle) #s(literal -1/2 binary32)) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))))) u n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))
(fma.f32 (-.f32 (*.f32 (*.f32 n0_i (fma.f32 (/.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) u) (cos.f32 normAngle)) (sin.f32 normAngle)) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)))) u) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i)
normAngle
(+ normAngle (* -1 (* normAngle u)))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(* -1 (* normAngle u))
(*.f32 (neg.f32 u) normAngle)
(* u (+ (* -1 normAngle) (/ normAngle u)))
(*.f32 (-.f32 (/.f32 normAngle u) normAngle) u)
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(*.f32 (-.f32 (/.f32 normAngle u) normAngle) u)
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(*.f32 (/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) n0_i)
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(*.f32 (/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) n0_i)
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(*.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i)
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(*.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i)

rewrite259.0ms (2.3%)

Memory
-5.8MiB live, 455.0MiB allocated; 69ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01763
02963
18053
245250
3475250
0822349
Stop Event
iter limit
node limit
iter limit
Counts
5 → 223
Calls
Call 1
Inputs
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
Outputs
(*.f32 (/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32))) (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32)))) (fma.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) (/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32))))
(*.f32 (/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32))) (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)))) (/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)))
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(*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (pow.f32 (fma.f32 u u u) #s(literal 3 binary32)) #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 #s(literal 1 binary32) (*.f32 u u)) (/.f32 normAngle (+.f32 u #s(literal 1 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (/.f32 normAngle (+.f32 (fma.f32 u u u) #s(literal 1 binary32))))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)))
(/.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) normAngle) (neg.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32))))
(/.f32 (*.f32 normAngle (+.f32 #s(literal -1 binary32) (*.f32 u u))) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)))
(/.f32 (*.f32 normAngle (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))))) (neg.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle)) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle)) (neg.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))

eval82.0ms (0.7%)

Memory
1.2MiB live, 112.8MiB allocated; 34ms collecting garbage
Compiler

Compiled 12 529 to 932 computations (92.6% saved)

prune16.0ms (0.1%)

Memory
-12.5MiB live, 33.3MiB allocated; 4ms collecting garbage
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New24715262
Fresh000
Picked101
Done000
Total24815263
Accuracy
100.0%
Counts
263 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n1_i (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
77.1%
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
97.3%
(+.f32 (*.f32 (*.f32 (sin.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
99.0%
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 (fma.f32 (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) normAngle) (sin.f32 normAngle)) u)) n1_i))
97.4%
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.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))
81.4%
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
97.8%
(+.f32 #s(approx (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (fma.f32 (neg.f32 n0_i) (*.f32 (*.f32 (cos.f32 normAngle) u) (/.f32 normAngle (sin.f32 normAngle))) n0_i)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
77.0%
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))))
89.7%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (fma.f32 (*.f32 u (*.f32 #s(literal -1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u n0_i))
89.6%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i))
98.2%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
99.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
97.7%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) n0_i))
97.8%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i))
38.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
Compiler

Compiled 1 072 to 710 computations (33.8% saved)

simplify127.0ms (1.1%)

Memory
12.9MiB live, 195.7MiB allocated; 32ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))
cost-diff0
(/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle))
cost-diff0
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) n0_i))
cost-diff2
(*.f32 (/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) n0_i)
cost-diff0
(*.f32 normAngle u)
cost-diff0
(sin.f32 (*.f32 normAngle u))
cost-diff0
(fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
cost-diff0
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
cost-diff0
(/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))
cost-diff0
(fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i)
cost-diff0
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i))
cost-diff2
(-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i))
cost-diff0
(*.f32 n1_i u)
cost-diff0
(-.f32 #s(literal 1 binary32) u)
cost-diff0
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
cost-diff0
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
cost-diff0
(fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
cost-diff0
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
cost-diff1
(-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
cost-diff2
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055538
093536
1196504
2498491
31657487
45215485
08540481
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
(*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))))
#s(literal -1/6 binary32)
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
#s(literal 3 binary32)
n0_i
(-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
(*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)
(pow.f32 u #s(literal 3 binary32))
n1_i
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
(*.f32 n1_i u)
(*.f32 normAngle normAngle)
normAngle
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
n0_i
(*.f32 n1_i u)
n1_i
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i))
(fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i)
(/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))
(-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i))
(*.f32 n1_i normAngle)
n1_i
normAngle
(*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)
(*.f32 (cos.f32 normAngle) normAngle)
(cos.f32 normAngle)
n0_i
(sin.f32 normAngle)
u
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
(fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
n1_i
(sin.f32 (*.f32 normAngle u))
(*.f32 normAngle u)
normAngle
u
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
n0_i
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
(sin.f32 normAngle)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) n0_i))
(*.f32 (/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) n0_i)
(/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle))
(fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))
(/.f32 n1_i n0_i)
n1_i
n0_i
(sin.f32 (*.f32 normAngle u))
(*.f32 normAngle u)
normAngle
u
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
(sin.f32 normAngle)
Outputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
(fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
(*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))))
(*.f32 (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i)) #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
(fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i))
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
#s(literal 3 binary32)
n0_i
(-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
(-.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)
(pow.f32 u #s(literal 3 binary32))
n1_i
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
(*.f32 n1_i u)
(*.f32 normAngle normAngle)
normAngle
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
n0_i
(*.f32 n1_i u)
n1_i
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 u (sin.f32 normAngle)) (*.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) normAngle) n0_i))
(fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i)
(fma.f32 (/.f32 u (sin.f32 normAngle)) (*.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) normAngle) n0_i)
(/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) (fma.f32 (neg.f32 n0_i) (cos.f32 normAngle) n1_i))
(-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i))
(*.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) normAngle)
(*.f32 n1_i normAngle)
n1_i
normAngle
(*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)
(*.f32 (cos.f32 normAngle) normAngle)
(cos.f32 normAngle)
n0_i
(sin.f32 normAngle)
u
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle))
(fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i))
n1_i
(sin.f32 (*.f32 normAngle u))
(*.f32 normAngle u)
normAngle
u
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)
n0_i
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
(sin.f32 normAngle)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle)))
(*.f32 (/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) n0_i)
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle))
(/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle))
(fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))
(/.f32 n1_i n0_i)
n1_i
n0_i
(sin.f32 (*.f32 normAngle u))
(*.f32 normAngle u)
normAngle
u
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
(sin.f32 normAngle)

localize184.0ms (1.6%)

Memory
23.3MiB live, 258.6MiB allocated; 37ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.1484375
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
accuracy0.2109375
(*.f32 (/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) n0_i)
accuracy0.3046875
(/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle))
accuracy0.5016986912826925
(fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))
accuracy0.0703125
(fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
accuracy0.109375
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
accuracy0.1484375
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
accuracy7.239128373235957
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
accuracy0.03515625
(fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i)
accuracy0.0546875
(-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i))
accuracy0.15276318845812895
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i))
accuracy6.1978415534323235
(/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))
accuracy0.0
(-.f32 #s(literal 1 binary32) u)
accuracy0.0
(*.f32 n1_i u)
accuracy0.166347509768442
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
accuracy0.4352918948358811
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
accuracy0.16796875
(*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)
accuracy0.3515625
(*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))))
accuracy0.6078301269897464
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))
accuracy7.661220335241954
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
Samples
144.0ms253×0valid
2.0ms1valid
Compiler

Compiled 475 to 55 computations (88.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 111.0ms
ival-mult: 55.0ms (49.5% of total)
ival-sin: 25.0ms (22.5% of total)
ival-div: 8.0ms (7.2% of total)
ival-add: 8.0ms (7.2% of total)
ival-pow: 5.0ms (4.5% of total)
ival-sub: 4.0ms (3.6% of total)
const: 4.0ms (3.6% of total)
ival-cos: 2.0ms (1.8% of total)
adjust: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series163.0ms (1.4%)

Memory
-36.5MiB live, 205.3MiB allocated; 63ms collecting garbage
Counts
26 → 257
Calls
Call 1
Inputs
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
(-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
(-.f32 #s(literal 1 binary32) u)
(*.f32 n1_i u)
(-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i))
(fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i)
(/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
(fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(sin.f32 (*.f32 normAngle u))
(*.f32 normAngle u)
(*.f32 (/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) n0_i)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) n0_i))
(/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle))
(fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))
(*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))))
(*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
Outputs
(+ (* 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)))))))
(+ (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u))))) (+ (* n0_i (- 1 u)) (* n1_i u)))
(* normAngle (- n1_i n0_i))
(* normAngle (- (+ n1_i (* 1/2 (* n0_i (pow normAngle 2)))) n0_i))
(* normAngle (- (+ n1_i (* (pow normAngle 2) (- (* -1/24 (* n0_i (pow normAngle 2))) (* -1/2 n0_i)))) n0_i))
(* normAngle (- (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* 1/720 (* n0_i (pow normAngle 2))) (* 1/24 n0_i))) (* -1/2 n0_i)))) n0_i))
(+ n0_i (* u (- n1_i n0_i)))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(- n1_i n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* 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 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* 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))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))) (+ (* -1/5040 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/120 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))))))))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u)))))))
(* normAngle (+ (* n0_i (- 1 u)) (* n1_i u)))
(* normAngle (+ (* 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))))))))
(* normAngle (+ (* 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)))))))))))
(* normAngle (+ (* 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))))))))))))))
(* normAngle u)
(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* 1/120 (* (pow normAngle 2) (pow u 5)))))))
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow u 7))) (* 1/120 (pow u 5))))))))
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(+ (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) (* (pow normAngle 2) (- (* n0_i (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3)))) (* -1/6 (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))))))
(+ (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) (* (pow normAngle 2) (- (+ (* n0_i (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3)))) (* (pow normAngle 2) (- (* n0_i (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5)))) (+ (* -1/6 (- (* n0_i (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3)))) (* -1/6 (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))))) (* 1/120 (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))))))) (* -1/6 (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))))))
(+ (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) (* (pow normAngle 2) (- (+ (* n0_i (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3)))) (* (pow normAngle 2) (- (+ (* n0_i (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5)))) (* (pow normAngle 2) (- (* n0_i (+ (* -1/5040 (/ (* n1_i (pow u 7)) n0_i)) (* -1/5040 (pow (- 1 u) 7)))) (+ (* -1/6 (- (* n0_i (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5)))) (+ (* -1/6 (- (* n0_i (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3)))) (* -1/6 (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))))) (* 1/120 (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)))))) (+ (* -1/5040 (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))) (* 1/120 (- (* n0_i (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3)))) (* -1/6 (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)))))))))) (+ (* -1/6 (- (* n0_i (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3)))) (* -1/6 (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))))) (* 1/120 (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))))))) (* -1/6 (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))))))
(- (+ 1 (/ (* n1_i u) n0_i)) u)
(- (+ 1 (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3))) (* -1/6 (- (+ 1 (/ (* n1_i u) n0_i)) u)))) (/ (* n1_i u) n0_i))) u)
(- (+ 1 (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5))) (+ (* -1/6 (- (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3))) (* -1/6 (- (+ 1 (/ (* n1_i u) n0_i)) u)))) (* 1/120 (- (+ 1 (/ (* n1_i u) n0_i)) u))))))) (* -1/6 (- (+ 1 (/ (* n1_i u) n0_i)) u)))) (/ (* n1_i u) n0_i))) u)
(- (+ 1 (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (+ (* -1/5040 (/ (* n1_i (pow u 7)) n0_i)) (* -1/5040 (pow (- 1 u) 7))) (+ (* -1/6 (- (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5))) (+ (* -1/6 (- (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3))) (* -1/6 (- (+ 1 (/ (* n1_i u) n0_i)) u)))) (* 1/120 (- (+ 1 (/ (* n1_i u) n0_i)) u))))) (+ (* -1/5040 (- (+ 1 (/ (* n1_i u) n0_i)) u)) (* 1/120 (- (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3))) (* -1/6 (- (+ 1 (/ (* n1_i u) n0_i)) u)))))))))) (+ (* -1/6 (- (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3))) (* -1/6 (- (+ 1 (/ (* n1_i u) n0_i)) u)))) (* 1/120 (- (+ 1 (/ (* n1_i u) n0_i)) u))))))) (* -1/6 (- (+ 1 (/ (* n1_i u) n0_i)) u)))) (/ (* n1_i u) n0_i))) u)
(* normAngle (- (+ 1 (/ (* n1_i u) n0_i)) u))
(* normAngle (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3)))) (/ (* n1_i u) n0_i))) u))
(* normAngle (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5))))))) (/ (* n1_i u) n0_i))) u))
(* normAngle (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (+ (* -1/5040 (/ (* n1_i (pow u 7)) n0_i)) (* -1/5040 (pow (- 1 u) 7)))))))))) (/ (* n1_i u) n0_i))) u))
(* normAngle (- 1 u))
(* n0_i (* normAngle (- 1 u)))
(* normAngle (+ (* -1/6 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 3)))) (* n0_i (- 1 u))))
(* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* 1/120 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 5))))))))
(* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (+ (* -1/5040 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 7)))) (* 1/120 (* n0_i (pow (- 1 u) 5)))))))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u)))))
(* (pow normAngle 2) (+ (* -1/6 (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))
(* normAngle (- n1_i (* n0_i (cos normAngle))))
(/ (* normAngle (* u (- n1_i (* n0_i (cos normAngle))))) (sin normAngle))
(* normAngle (+ (/ n0_i normAngle) (/ (* u (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))))
(/ (* normAngle (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle))
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u))))
(sin (* normAngle u))
(/ (* n0_i (+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle u))) n0_i))) (sin normAngle))
(/ (+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle u))) n0_i)) (sin normAngle))
(+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle u))) n0_i))
(* n0_i (sin (* normAngle (- 1 u))))
(* -1 (* normAngle (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))))
(* -1 (/ (* normAngle (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle)))))) (sin normAngle)))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))))
(* -1 (/ (* normAngle (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))
(* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))
(* u (- (+ (* -3 n0_i) (* 3 (* n0_i u))) (+ n1_i (* -1 n0_i))))
(* u (- (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i)))))) (+ n1_i (* -1 n0_i))))
(* -1 n0_i)
(- (* -1 (* u (+ n1_i (* -1 n0_i)))) n0_i)
(- (* u (- (* n1_i (pow u 2)) (+ n1_i (* -1 n0_i)))) n0_i)
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 (* u (+ n1_i (+ (* -1 n0_i) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))))))
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))))))
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i))))))))))))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
1
(+ 1 (* -1 u))
(* n1_i u)
(+ n0_i (* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))))
(* n0_i (sin normAngle))
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle))))
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle))))) (* n1_i normAngle)))))
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* n1_i normAngle) (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) (sin normAngle)))) (* u (+ (* -1/6 (* n1_i (pow normAngle 3))) (* 1/6 (* n0_i (* (pow normAngle 3) (cos normAngle))))))))))))
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2)))))
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2)))))))
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 7) (pow u 2))) (* 1/120 (pow normAngle 5))))))))
(+ n0_i (/ (* n0_i (* u (+ (* -1 (* normAngle (cos normAngle))) (/ (* n1_i normAngle) n0_i)))) (sin normAngle)))
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n0_i (+ (* -1 (* normAngle (cos normAngle))) (/ (* n1_i normAngle) n0_i))) (sin normAngle)))))
(+ n0_i (* u (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n0_i (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) n0_i)) (* 1/6 (* (pow normAngle 3) (cos normAngle)))))) (sin normAngle)))) (/ (* n0_i (+ (* -1 (* normAngle (cos normAngle))) (/ (* n1_i normAngle) n0_i))) (sin normAngle)))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (+ (* u (+ (* -1/2 (pow normAngle 2)) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (* n0_i (sin normAngle)))) (* 1/6 (/ (* (pow normAngle 3) (cos normAngle)) (sin normAngle))))))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))))
(sin normAngle)
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (/ (* n1_i normAngle) n0_i))))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (+ (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))) (/ (* n1_i normAngle) n0_i)))))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (+ (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) n0_i)) (* 1/6 (* (pow normAngle 3) (cos normAngle))))))) (/ (* n1_i normAngle) n0_i)))))
(+ 1 (* -3 u))
(+ 1 (* u (- (* 3 u) 3)))
(+ 1 (* u (- (* u (+ 3 (* -1 u))) 3)))
(* -1/6 (* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))
(* u (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))
(* u (+ (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))
(* n1_i (pow u 3))
normAngle
(+ normAngle (* -1 (* normAngle u)))
(+ (* -1 (* n0_i (* normAngle (* u (cos normAngle))))) (* n0_i (sin normAngle)))
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle))))))))
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) (sin normAngle)))) (* 1/6 (* n0_i (* (pow normAngle 3) (* u (cos normAngle))))))))))
(* (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 (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (* 3 (/ n0_i u))))) (+ (* -1 (/ n0_i (pow u 2))) (/ n1_i (pow u 2)))))
(* (pow u 3) (+ n1_i (* -1 (/ (+ n1_i (* -1 n0_i)) (pow u 2)))))
(* (pow u 3) (- (+ n1_i (* -1 (/ n0_i (pow u 3)))) (+ (* -1 (/ n0_i (pow u 2))) (/ n1_i (pow u 2)))))
(* -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)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (/ n1_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)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2))))))))
(* u (+ n1_i (* -1 n0_i)))
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(* -1 u)
(* u (- (/ 1 u) 1))
(* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))
(* u (- (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))
(* -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 (pow u 3))) (+ 1 (/ 3 (pow u 2)))))
(* -1/6 (* (pow u 3) (+ n1_i (* -1 n0_i))))
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (* -1/6 (+ n1_i (* -1 n0_i)))))
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/6 (/ (- (* -3 n0_i) (+ n1_i (* -1 n0_i))) (pow u 2))))))
(* -1 (* normAngle u))
(* u (+ (* -1 normAngle) (/ normAngle 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 (/ (- (* 3 n0_i) (+ n0_i (* -1 n1_i))) u)) (* 3 n0_i)) u))))))
(* -1 (* (pow u 3) (+ (* -1 n1_i) (* -1 (/ (+ n0_i (* -1 n1_i)) (pow u 2))))))
(* -1 (* (pow u 3) (- (+ (* -1 n1_i) (/ n0_i (pow u 3))) (+ (* -1 (/ n1_i (pow u 2))) (/ n0_i (pow u 2))))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(* 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) (* -1/6 (* (pow normAngle 2) (- (* 3 n0_i) (+ n0_i (* -1 n1_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)) (* -1/6 (* (pow normAngle 2) (- (* 3 n0_i) (+ n0_i (* -1 n1_i)))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))))))
(* -1 (* u (+ n0_i (* -1 n1_i))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(* -1 (* u (- 1 (/ 1 u))))
(/ (* u (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle))))) (sin normAngle))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle)))) (sin normAngle))))))
(/ (+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u)))) (sin normAngle))
(+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u))))
(/ (* n0_i (+ (sin (* normAngle (+ 1 (* -1 u)))) (/ (* n1_i (sin (* normAngle u))) n0_i))) (sin normAngle))
(/ (+ (sin (* normAngle (+ 1 (* -1 u)))) (/ (* n1_i (sin (* normAngle u))) n0_i)) (sin normAngle))
(+ (sin (* normAngle (+ 1 (* -1 u)))) (/ (* n1_i (sin (* normAngle u))) n0_i))
(* -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 (* -1 (/ (- 3 (/ 1 u)) u))) u)))))
(* 1/6 (* (pow u 3) (+ n0_i (* -1 n1_i))))
(* -1 (* (pow u 3) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/2 (/ n0_i u)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/2 n0_i) (* 1/6 (/ (- (* 3 n0_i) (+ n0_i (* -1 n1_i))) u))) u)) (* -1/6 (+ n0_i (* -1 n1_i))))))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(* n0_i (sin (* normAngle (+ 1 (* -1 u)))))
(- (* n1_i (pow u 3)) (* n1_i u))
(- (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (pow u 3))) (* n1_i u))
(- (+ (* n0_i (- u 1)) (* n1_i (pow u 3))) (* n1_i u))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u))
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (+ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) (* n1_i u)))
(* n1_i normAngle)
(+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(* n1_i (sin (* normAngle u)))
(/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))
(/ (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) n0_i)
(/ (* n1_i (sin (* normAngle u))) n0_i)
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) n0_i)
(* -1/6 (- (* n1_i (pow u 3)) (* n1_i u)))
(+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* -1/6 (- (* n1_i (pow u 3)) (* n1_i u))))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(* n0_i (- (+ u (+ (/ (* n1_i (pow u 3)) n0_i) (pow (- 1 u) 3))) (+ 1 (/ (* n1_i u) n0_i))))
(* n0_i (- u 1))
(* n0_i (- (+ u (/ (* n1_i (pow u 3)) n0_i)) (+ 1 (/ (* n1_i u) n0_i))))
(/ (* 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 (- (+ 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))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u))) n0_i)) (/ (* n1_i u) n0_i)))) u))
(* n0_i (- 1 u))
(* -1 (* n0_i (* normAngle (cos normAngle))))
(* n0_i (- (/ (* n1_i normAngle) n0_i) (* normAngle (cos normAngle))))
(* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(* n0_i (+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle u))) n0_i)))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))
(sin (* normAngle (- 1 u)))
(* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))
(* n0_i (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i))))
(* -1 (* n0_i (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))))
(* -1 (* n0_i (- (+ (* -1 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)) (* -1 (pow (- 1 u) 3))) (* -1 (- 1 u)))))
(* -1 (* n0_i (- 1 u)))
(* -1 (* n0_i (- (* -1 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)) (* -1 (- 1 u)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (- (* -1 (/ (* n1_i normAngle) n0_i)) (* -1 (* normAngle (cos normAngle))))))
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(* -1 (* n0_i (+ (* -1 (sin (* normAngle (- 1 u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i)))))
(* 1/6 (* n0_i (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))))
(* -1 (* n0_i (+ (* -1/6 (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))) (* 1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)))))
(- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))
(- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (- (pow u 3) u))) (* n0_i (- 1 u)))
(- (* n1_i (- (pow u 3) u)) (* n0_i (- 1 u)))
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u)))
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))))
(- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle))))
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))
(+ (* -1/6 (* n1_i (- (pow u 3) u))) (* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))))
(* n1_i (- (pow u 3) u))
(* n1_i (- (+ (/ (* n0_i (pow (- 1 u) 3)) n1_i) (pow u 3)) (+ u (/ (* n0_i (- 1 u)) n1_i))))
(* n1_i (- (+ (* -1 (/ (* n0_i (- 1 u)) n1_i)) (pow u 3)) u))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))) n1_i)) (/ (* n0_i (- 1 u)) n1_i)))))
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(* n1_i (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i)))
(* n1_i (+ (/ (sin (* normAngle u)) (* n0_i (sin normAngle))) (/ (sin (* normAngle (- 1 u))) (* n1_i (sin normAngle)))))
(* n1_i (+ (/ (sin (* normAngle u)) n0_i) (/ (sin (* normAngle (- 1 u))) n1_i)))
(* -1/6 (* n1_i (- (pow u 3) u)))
(* n1_i (+ (* -1/6 (- (pow u 3) u)) (* -1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i))))
(* -1 (* n1_i (- (* -1 (pow u 3)) (* -1 u))))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)) (* -1 (pow u 3))) (* -1 u))))
(* -1 (* n1_i (- (+ (* -1 (pow u 3)) (/ (* n0_i (- 1 u)) n1_i)) (* -1 u))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u)))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) n1_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u))))))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(* -1 (* n1_i (+ (* -1 normAngle) (/ (* n0_i (* normAngle (cos normAngle))) n1_i))))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (* n0_i (sin normAngle)))) (* -1 (/ (sin (* normAngle (- 1 u))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) n0_i)) (* -1 (/ (sin (* normAngle (- 1 u))) n1_i)))))
(* 1/6 (* n1_i (- (* -1 (pow u 3)) (* -1 u))))
(* -1 (* n1_i (+ (* -1/6 (- (* -1 (pow u 3)) (* -1 u))) (* 1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)))))
Calls

12 calls:

TimeVariablePointExpression
37.0ms
u
@-inf
((+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (- 1 u) (* n1_i u) (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (/ (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (sin normAngle)) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (sin (* normAngle u)) (* normAngle u) (* (/ (+ (* (/ n1_i n0_i) (sin (* normAngle u))) (sin (* (- 1 u) normAngle))) (sin normAngle)) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (+ (* (/ n1_i n0_i) (sin (* normAngle u))) (sin (* (- 1 u) normAngle))) (sin normAngle)) (+ (* (/ n1_i n0_i) (sin (* normAngle u))) (sin (* (- 1 u) normAngle))) (pow (- 1 u) 3) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* (pow u 3) n1_i) (* normAngle (- 1 u)) (* n0_i (sin (* normAngle (- 1 u)))) (* (- 1 u) normAngle))
21.0ms
n1_i
@0
((+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (- 1 u) (* n1_i u) (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (/ (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (sin normAngle)) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (sin (* normAngle u)) (* normAngle u) (* (/ (+ (* (/ n1_i n0_i) (sin (* normAngle u))) (sin (* (- 1 u) normAngle))) (sin normAngle)) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (+ (* (/ n1_i n0_i) (sin (* normAngle u))) (sin (* (- 1 u) normAngle))) (sin normAngle)) (+ (* (/ n1_i n0_i) (sin (* normAngle u))) (sin (* (- 1 u) normAngle))) (pow (- 1 u) 3) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* (pow u 3) n1_i) (* normAngle (- 1 u)) (* n0_i (sin (* normAngle (- 1 u)))) (* (- 1 u) normAngle))
20.0ms
normAngle
@0
((+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (- 1 u) (* n1_i u) (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (/ (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (sin normAngle)) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (sin (* normAngle u)) (* normAngle u) (* (/ (+ (* (/ n1_i n0_i) (sin (* normAngle u))) (sin (* (- 1 u) normAngle))) (sin normAngle)) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (+ (* (/ n1_i n0_i) (sin (* normAngle u))) (sin (* (- 1 u) normAngle))) (sin normAngle)) (+ (* (/ n1_i n0_i) (sin (* normAngle u))) (sin (* (- 1 u) normAngle))) (pow (- 1 u) 3) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* (pow u 3) n1_i) (* normAngle (- 1 u)) (* n0_i (sin (* normAngle (- 1 u)))) (* (- 1 u) normAngle))
17.0ms
normAngle
@-inf
((+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (- 1 u) (* n1_i u) (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (/ (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (sin normAngle)) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (sin (* normAngle u)) (* normAngle u) (* (/ (+ (* (/ n1_i n0_i) (sin (* normAngle u))) (sin (* (- 1 u) normAngle))) (sin normAngle)) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (+ (* (/ n1_i n0_i) (sin (* normAngle u))) (sin (* (- 1 u) normAngle))) (sin normAngle)) (+ (* (/ n1_i n0_i) (sin (* normAngle u))) (sin (* (- 1 u) normAngle))) (pow (- 1 u) 3) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* (pow u 3) n1_i) (* normAngle (- 1 u)) (* n0_i (sin (* normAngle (- 1 u)))) (* (- 1 u) normAngle))
9.0ms
n0_i
@-inf
((+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (- 1 u) (* n1_i u) (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (/ (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (sin normAngle)) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (sin (* normAngle u)) (* normAngle u) (* (/ (+ (* (/ n1_i n0_i) (sin (* normAngle u))) (sin (* (- 1 u) normAngle))) (sin normAngle)) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (+ (* (/ n1_i n0_i) (sin (* normAngle u))) (sin (* (- 1 u) normAngle))) (sin normAngle)) (+ (* (/ n1_i n0_i) (sin (* normAngle u))) (sin (* (- 1 u) normAngle))) (pow (- 1 u) 3) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* (pow u 3) n1_i) (* normAngle (- 1 u)) (* n0_i (sin (* normAngle (- 1 u)))) (* (- 1 u) normAngle))

simplify415.0ms (3.7%)

Memory
40.7MiB live, 419.4MiB allocated; 41ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011486456
142016171
082405788
Stop Event
iter limit
node limit
Counts
257 → 255
Calls
Call 1
Inputs
(+ (* 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)))))))
(+ (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u))))) (+ (* n0_i (- 1 u)) (* n1_i u)))
(* normAngle (- n1_i n0_i))
(* normAngle (- (+ n1_i (* 1/2 (* n0_i (pow normAngle 2)))) n0_i))
(* normAngle (- (+ n1_i (* (pow normAngle 2) (- (* -1/24 (* n0_i (pow normAngle 2))) (* -1/2 n0_i)))) n0_i))
(* normAngle (- (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* 1/720 (* n0_i (pow normAngle 2))) (* 1/24 n0_i))) (* -1/2 n0_i)))) n0_i))
(+ n0_i (* u (- n1_i n0_i)))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(- n1_i n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* 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 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* 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))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))) (+ (* -1/5040 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/120 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))))))))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u)))))))
(* normAngle (+ (* n0_i (- 1 u)) (* n1_i u)))
(* normAngle (+ (* 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))))))))
(* normAngle (+ (* 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)))))))))))
(* normAngle (+ (* 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))))))))))))))
(* normAngle u)
(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* 1/120 (* (pow normAngle 2) (pow u 5)))))))
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow u 7))) (* 1/120 (pow u 5))))))))
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(+ (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) (* (pow normAngle 2) (- (* n0_i (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3)))) (* -1/6 (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))))))
(+ (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) (* (pow normAngle 2) (- (+ (* n0_i (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3)))) (* (pow normAngle 2) (- (* n0_i (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5)))) (+ (* -1/6 (- (* n0_i (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3)))) (* -1/6 (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))))) (* 1/120 (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))))))) (* -1/6 (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))))))
(+ (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) (* (pow normAngle 2) (- (+ (* n0_i (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3)))) (* (pow normAngle 2) (- (+ (* n0_i (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5)))) (* (pow normAngle 2) (- (* n0_i (+ (* -1/5040 (/ (* n1_i (pow u 7)) n0_i)) (* -1/5040 (pow (- 1 u) 7)))) (+ (* -1/6 (- (* n0_i (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5)))) (+ (* -1/6 (- (* n0_i (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3)))) (* -1/6 (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))))) (* 1/120 (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)))))) (+ (* -1/5040 (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))) (* 1/120 (- (* n0_i (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3)))) (* -1/6 (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)))))))))) (+ (* -1/6 (- (* n0_i (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3)))) (* -1/6 (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))))) (* 1/120 (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))))))) (* -1/6 (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))))))
(- (+ 1 (/ (* n1_i u) n0_i)) u)
(- (+ 1 (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3))) (* -1/6 (- (+ 1 (/ (* n1_i u) n0_i)) u)))) (/ (* n1_i u) n0_i))) u)
(- (+ 1 (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5))) (+ (* -1/6 (- (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3))) (* -1/6 (- (+ 1 (/ (* n1_i u) n0_i)) u)))) (* 1/120 (- (+ 1 (/ (* n1_i u) n0_i)) u))))))) (* -1/6 (- (+ 1 (/ (* n1_i u) n0_i)) u)))) (/ (* n1_i u) n0_i))) u)
(- (+ 1 (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (+ (* -1/5040 (/ (* n1_i (pow u 7)) n0_i)) (* -1/5040 (pow (- 1 u) 7))) (+ (* -1/6 (- (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5))) (+ (* -1/6 (- (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3))) (* -1/6 (- (+ 1 (/ (* n1_i u) n0_i)) u)))) (* 1/120 (- (+ 1 (/ (* n1_i u) n0_i)) u))))) (+ (* -1/5040 (- (+ 1 (/ (* n1_i u) n0_i)) u)) (* 1/120 (- (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3))) (* -1/6 (- (+ 1 (/ (* n1_i u) n0_i)) u)))))))))) (+ (* -1/6 (- (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3))) (* -1/6 (- (+ 1 (/ (* n1_i u) n0_i)) u)))) (* 1/120 (- (+ 1 (/ (* n1_i u) n0_i)) u))))))) (* -1/6 (- (+ 1 (/ (* n1_i u) n0_i)) u)))) (/ (* n1_i u) n0_i))) u)
(* normAngle (- (+ 1 (/ (* n1_i u) n0_i)) u))
(* normAngle (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3)))) (/ (* n1_i u) n0_i))) u))
(* normAngle (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5))))))) (/ (* n1_i u) n0_i))) u))
(* normAngle (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (+ (* -1/5040 (/ (* n1_i (pow u 7)) n0_i)) (* -1/5040 (pow (- 1 u) 7)))))))))) (/ (* n1_i u) n0_i))) u))
(* normAngle (- 1 u))
(* n0_i (* normAngle (- 1 u)))
(* normAngle (+ (* -1/6 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 3)))) (* n0_i (- 1 u))))
(* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* 1/120 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 5))))))))
(* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (+ (* -1/5040 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 7)))) (* 1/120 (* n0_i (pow (- 1 u) 5)))))))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u)))))
(* (pow normAngle 2) (+ (* -1/6 (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))
(* normAngle (- n1_i (* n0_i (cos normAngle))))
(/ (* normAngle (* u (- n1_i (* n0_i (cos normAngle))))) (sin normAngle))
(* normAngle (+ (/ n0_i normAngle) (/ (* u (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))))
(/ (* normAngle (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle))
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u))))
(sin (* normAngle u))
(/ (* n0_i (+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle u))) n0_i))) (sin normAngle))
(/ (+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle u))) n0_i)) (sin normAngle))
(+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle u))) n0_i))
(* n0_i (sin (* normAngle (- 1 u))))
(* -1 (* normAngle (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))))
(* -1 (/ (* normAngle (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle)))))) (sin normAngle)))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))))
(* -1 (/ (* normAngle (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))
(* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))
(* u (- (+ (* -3 n0_i) (* 3 (* n0_i u))) (+ n1_i (* -1 n0_i))))
(* u (- (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i)))))) (+ n1_i (* -1 n0_i))))
(* -1 n0_i)
(- (* -1 (* u (+ n1_i (* -1 n0_i)))) n0_i)
(- (* u (- (* n1_i (pow u 2)) (+ n1_i (* -1 n0_i)))) n0_i)
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 (* u (+ n1_i (+ (* -1 n0_i) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))))))
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))))))
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i))))))))))))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
1
(+ 1 (* -1 u))
(* n1_i u)
(+ n0_i (* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))))
(* n0_i (sin normAngle))
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle))))
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle))))) (* n1_i normAngle)))))
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* n1_i normAngle) (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) (sin normAngle)))) (* u (+ (* -1/6 (* n1_i (pow normAngle 3))) (* 1/6 (* n0_i (* (pow normAngle 3) (cos normAngle))))))))))))
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2)))))
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2)))))))
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 7) (pow u 2))) (* 1/120 (pow normAngle 5))))))))
(+ n0_i (/ (* n0_i (* u (+ (* -1 (* normAngle (cos normAngle))) (/ (* n1_i normAngle) n0_i)))) (sin normAngle)))
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n0_i (+ (* -1 (* normAngle (cos normAngle))) (/ (* n1_i normAngle) n0_i))) (sin normAngle)))))
(+ n0_i (* u (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n0_i (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) n0_i)) (* 1/6 (* (pow normAngle 3) (cos normAngle)))))) (sin normAngle)))) (/ (* n0_i (+ (* -1 (* normAngle (cos normAngle))) (/ (* n1_i normAngle) n0_i))) (sin normAngle)))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (+ (* u (+ (* -1/2 (pow normAngle 2)) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (* n0_i (sin normAngle)))) (* 1/6 (/ (* (pow normAngle 3) (cos normAngle)) (sin normAngle))))))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))))
(sin normAngle)
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (/ (* n1_i normAngle) n0_i))))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (+ (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))) (/ (* n1_i normAngle) n0_i)))))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (+ (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) n0_i)) (* 1/6 (* (pow normAngle 3) (cos normAngle))))))) (/ (* n1_i normAngle) n0_i)))))
(+ 1 (* -3 u))
(+ 1 (* u (- (* 3 u) 3)))
(+ 1 (* u (- (* u (+ 3 (* -1 u))) 3)))
(* -1/6 (* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))
(* u (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))
(* u (+ (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))
(* n1_i (pow u 3))
normAngle
(+ normAngle (* -1 (* normAngle u)))
(+ (* -1 (* n0_i (* normAngle (* u (cos normAngle))))) (* n0_i (sin normAngle)))
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle))))))))
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) (sin normAngle)))) (* 1/6 (* n0_i (* (pow normAngle 3) (* u (cos normAngle))))))))))
(* (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 (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (* 3 (/ n0_i u))))) (+ (* -1 (/ n0_i (pow u 2))) (/ n1_i (pow u 2)))))
(* (pow u 3) (+ n1_i (* -1 (/ (+ n1_i (* -1 n0_i)) (pow u 2)))))
(* (pow u 3) (- (+ n1_i (* -1 (/ n0_i (pow u 3)))) (+ (* -1 (/ n0_i (pow u 2))) (/ n1_i (pow u 2)))))
(* -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)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (/ n1_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)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2))))))))
(* u (+ n1_i (* -1 n0_i)))
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(* -1 u)
(* u (- (/ 1 u) 1))
(* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))
(* u (- (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))
(* -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 (pow u 3))) (+ 1 (/ 3 (pow u 2)))))
(* -1/6 (* (pow u 3) (+ n1_i (* -1 n0_i))))
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (* -1/6 (+ n1_i (* -1 n0_i)))))
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/6 (/ (- (* -3 n0_i) (+ n1_i (* -1 n0_i))) (pow u 2))))))
(* -1 (* normAngle u))
(* u (+ (* -1 normAngle) (/ normAngle 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 (/ (- (* 3 n0_i) (+ n0_i (* -1 n1_i))) u)) (* 3 n0_i)) u))))))
(* -1 (* (pow u 3) (+ (* -1 n1_i) (* -1 (/ (+ n0_i (* -1 n1_i)) (pow u 2))))))
(* -1 (* (pow u 3) (- (+ (* -1 n1_i) (/ n0_i (pow u 3))) (+ (* -1 (/ n1_i (pow u 2))) (/ n0_i (pow u 2))))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(* 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) (* -1/6 (* (pow normAngle 2) (- (* 3 n0_i) (+ n0_i (* -1 n1_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)) (* -1/6 (* (pow normAngle 2) (- (* 3 n0_i) (+ n0_i (* -1 n1_i)))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))))))
(* -1 (* u (+ n0_i (* -1 n1_i))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(* -1 (* u (- 1 (/ 1 u))))
(/ (* u (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle))))) (sin normAngle))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle)))) (sin normAngle))))))
(/ (+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u)))) (sin normAngle))
(+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u))))
(/ (* n0_i (+ (sin (* normAngle (+ 1 (* -1 u)))) (/ (* n1_i (sin (* normAngle u))) n0_i))) (sin normAngle))
(/ (+ (sin (* normAngle (+ 1 (* -1 u)))) (/ (* n1_i (sin (* normAngle u))) n0_i)) (sin normAngle))
(+ (sin (* normAngle (+ 1 (* -1 u)))) (/ (* n1_i (sin (* normAngle u))) n0_i))
(* -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 (* -1 (/ (- 3 (/ 1 u)) u))) u)))))
(* 1/6 (* (pow u 3) (+ n0_i (* -1 n1_i))))
(* -1 (* (pow u 3) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/2 (/ n0_i u)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/2 n0_i) (* 1/6 (/ (- (* 3 n0_i) (+ n0_i (* -1 n1_i))) u))) u)) (* -1/6 (+ n0_i (* -1 n1_i))))))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(* n0_i (sin (* normAngle (+ 1 (* -1 u)))))
(- (* n1_i (pow u 3)) (* n1_i u))
(- (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (pow u 3))) (* n1_i u))
(- (+ (* n0_i (- u 1)) (* n1_i (pow u 3))) (* n1_i u))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u))
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (+ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) (* n1_i u)))
(* n1_i normAngle)
(+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(* n1_i (sin (* normAngle u)))
(/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))
(/ (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) n0_i)
(/ (* n1_i (sin (* normAngle u))) n0_i)
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) n0_i)
(* -1/6 (- (* n1_i (pow u 3)) (* n1_i u)))
(+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* -1/6 (- (* n1_i (pow u 3)) (* n1_i u))))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(* n0_i (- (+ u (+ (/ (* n1_i (pow u 3)) n0_i) (pow (- 1 u) 3))) (+ 1 (/ (* n1_i u) n0_i))))
(* n0_i (- u 1))
(* n0_i (- (+ u (/ (* n1_i (pow u 3)) n0_i)) (+ 1 (/ (* n1_i u) n0_i))))
(/ (* 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 (- (+ 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))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u))) n0_i)) (/ (* n1_i u) n0_i)))) u))
(* n0_i (- 1 u))
(* -1 (* n0_i (* normAngle (cos normAngle))))
(* n0_i (- (/ (* n1_i normAngle) n0_i) (* normAngle (cos normAngle))))
(* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(* n0_i (+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle u))) n0_i)))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))
(sin (* normAngle (- 1 u)))
(* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))
(* n0_i (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i))))
(* -1 (* n0_i (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))))
(* -1 (* n0_i (- (+ (* -1 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)) (* -1 (pow (- 1 u) 3))) (* -1 (- 1 u)))))
(* -1 (* n0_i (- 1 u)))
(* -1 (* n0_i (- (* -1 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)) (* -1 (- 1 u)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (- (* -1 (/ (* n1_i normAngle) n0_i)) (* -1 (* normAngle (cos normAngle))))))
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(* -1 (* n0_i (+ (* -1 (sin (* normAngle (- 1 u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i)))))
(* 1/6 (* n0_i (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))))
(* -1 (* n0_i (+ (* -1/6 (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))) (* 1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)))))
(- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))
(- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (- (pow u 3) u))) (* n0_i (- 1 u)))
(- (* n1_i (- (pow u 3) u)) (* n0_i (- 1 u)))
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u)))
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))))
(- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle))))
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))
(+ (* -1/6 (* n1_i (- (pow u 3) u))) (* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))))
(* n1_i (- (pow u 3) u))
(* n1_i (- (+ (/ (* n0_i (pow (- 1 u) 3)) n1_i) (pow u 3)) (+ u (/ (* n0_i (- 1 u)) n1_i))))
(* n1_i (- (+ (* -1 (/ (* n0_i (- 1 u)) n1_i)) (pow u 3)) u))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))) n1_i)) (/ (* n0_i (- 1 u)) n1_i)))))
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(* n1_i (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i)))
(* n1_i (+ (/ (sin (* normAngle u)) (* n0_i (sin normAngle))) (/ (sin (* normAngle (- 1 u))) (* n1_i (sin normAngle)))))
(* n1_i (+ (/ (sin (* normAngle u)) n0_i) (/ (sin (* normAngle (- 1 u))) n1_i)))
(* -1/6 (* n1_i (- (pow u 3) u)))
(* n1_i (+ (* -1/6 (- (pow u 3) u)) (* -1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i))))
(* -1 (* n1_i (- (* -1 (pow u 3)) (* -1 u))))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)) (* -1 (pow u 3))) (* -1 u))))
(* -1 (* n1_i (- (+ (* -1 (pow u 3)) (/ (* n0_i (- 1 u)) n1_i)) (* -1 u))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u)))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) n1_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u))))))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(* -1 (* n1_i (+ (* -1 normAngle) (/ (* n0_i (* normAngle (cos normAngle))) n1_i))))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (* n0_i (sin normAngle)))) (* -1 (/ (sin (* normAngle (- 1 u))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) n0_i)) (* -1 (/ (sin (* normAngle (- 1 u))) n1_i)))))
(* 1/6 (* n1_i (- (* -1 (pow u 3)) (* -1 u))))
(* -1 (* n1_i (+ (* -1/6 (- (* -1 (pow u 3)) (* -1 u))) (* 1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)))))
Outputs
(+ (* n0_i (- 1 u)) (* n1_i u))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 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)))))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 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)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 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)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 u #s(literal 7 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i))) (fma.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))) (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i))) #s(literal 1/120 binary32) (*.f32 #s(literal -1/5040 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
(+ (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u))))) (+ (* n0_i (- 1 u)) (* n1_i u)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
(* normAngle (- n1_i n0_i))
(*.f32 (-.f32 n1_i n0_i) normAngle)
(* normAngle (- (+ n1_i (* 1/2 (* n0_i (pow normAngle 2)))) n0_i))
(*.f32 (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) n1_i) n0_i) normAngle)
(* normAngle (- (+ n1_i (* (pow normAngle 2) (- (* -1/24 (* n0_i (pow normAngle 2))) (* -1/2 n0_i)))) n0_i))
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)) normAngle)
(* normAngle (- (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* 1/720 (* n0_i (pow normAngle 2))) (* 1/24 n0_i))) (* -1/2 n0_i)))) n0_i))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) n0_i) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) n0_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)) normAngle)
(+ n0_i (* u (- n1_i n0_i)))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 #s(literal 1/120 binary32) u) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 #s(literal 1/120 binary32) u) (-.f32 n1_i n0_i)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal 1/120 binary32) (*.f32 (*.f32 #s(literal -1/5040 binary32) u) (-.f32 n1_i n0_i))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 #s(literal 1/120 binary32) u) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(- n1_i n0_i)
(-.f32 n1_i n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))) n0_i)
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(fma.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32))))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_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)) (* n1_i u)))))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 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 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 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))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))) (+ (* -1/5040 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/120 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))))))))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 u #s(literal 7 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i))) (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) #s(literal -1/6 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i))) #s(literal 1/120 binary32) (*.f32 #s(literal -1/5040 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
(* normAngle (+ (* n0_i (- 1 u)) (* n1_i u)))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) normAngle)
(* normAngle (+ (* 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))))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) normAngle)
(* normAngle (+ (* 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)))))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) normAngle)
(* normAngle (+ (* 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))))))))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 u #s(literal 7 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) normAngle)
(* normAngle u)
(*.f32 normAngle u)
(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (pow.f32 u #s(literal 3 binary32)) u) normAngle)
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* 1/120 (* (pow normAngle 2) (pow u 5)))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 normAngle normAngle)) (pow.f32 u #s(literal 5 binary32)) (*.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) u) normAngle)
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow u 7))) (* 1/120 (pow u 5))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 normAngle normAngle)) (pow.f32 u #s(literal 7 binary32)) (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 normAngle normAngle) (*.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) u) normAngle)
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i)
(+ (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) (* (pow normAngle 2) (- (* n0_i (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3)))) (* -1/6 (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (/.f32 (pow.f32 u #s(literal 3 binary32)) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) n0_i (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i))) (*.f32 normAngle normAngle) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i))
(+ (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) (* (pow normAngle 2) (- (+ (* n0_i (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3)))) (* (pow normAngle 2) (- (* n0_i (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5)))) (+ (* -1/6 (- (* n0_i (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3)))) (* -1/6 (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))))) (* 1/120 (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))))))) (* -1/6 (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))))))
(fma.f32 (fma.f32 (-.f32 (*.f32 (*.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)))) n0_i) (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (/.f32 (pow.f32 u #s(literal 3 binary32)) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) n0_i (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i))) #s(literal -1/6 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (/.f32 (pow.f32 u #s(literal 3 binary32)) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) n0_i (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i))
(+ (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) (* (pow normAngle 2) (- (+ (* n0_i (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3)))) (* (pow normAngle 2) (- (+ (* n0_i (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5)))) (* (pow normAngle 2) (- (* n0_i (+ (* -1/5040 (/ (* n1_i (pow u 7)) n0_i)) (* -1/5040 (pow (- 1 u) 7)))) (+ (* -1/6 (- (* n0_i (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5)))) (+ (* -1/6 (- (* n0_i (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3)))) (* -1/6 (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))))) (* 1/120 (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)))))) (+ (* -1/5040 (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))) (* 1/120 (- (* n0_i (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3)))) (* -1/6 (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)))))))))) (+ (* -1/6 (- (* n0_i (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3)))) (* -1/6 (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))))) (* 1/120 (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))))))) (* -1/6 (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))))))
(fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 n1_i (/.f32 (pow.f32 u #s(literal 7 binary32)) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)))) n0_i) (fma.f32 (-.f32 (*.f32 (*.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)))) n0_i) (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (/.f32 (pow.f32 u #s(literal 3 binary32)) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) n0_i (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i))) #s(literal -1/6 binary32)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 #s(literal -1/5040 binary32) n0_i) (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (/.f32 (pow.f32 u #s(literal 3 binary32)) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) n0_i (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i))) #s(literal 1/120 binary32))))) (*.f32 normAngle normAngle) (*.f32 (*.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)))) n0_i)) (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (/.f32 (pow.f32 u #s(literal 3 binary32)) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) n0_i (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i))) #s(literal -1/6 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (/.f32 (pow.f32 u #s(literal 3 binary32)) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) n0_i (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i))
(- (+ 1 (/ (* n1_i u) n0_i)) u)
(-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u)
(- (+ 1 (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3))) (* -1/6 (- (+ 1 (/ (* n1_i u) n0_i)) u)))) (/ (* n1_i u) n0_i))) u)
(-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 n1_i (/.f32 (pow.f32 u #s(literal 3 binary32)) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u))) (*.f32 normAngle normAngle) (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32))) u)
(- (+ 1 (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5))) (+ (* -1/6 (- (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3))) (* -1/6 (- (+ 1 (/ (* n1_i u) n0_i)) u)))) (* 1/120 (- (+ 1 (/ (* n1_i u) n0_i)) u))))))) (* -1/6 (- (+ 1 (/ (* n1_i u) n0_i)) u)))) (/ (* n1_i u) n0_i))) u)
(-.f32 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (/.f32 (pow.f32 u #s(literal 3 binary32)) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (fma.f32 (-.f32 (*.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)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 n1_i (/.f32 (pow.f32 u #s(literal 3 binary32)) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u))) #s(literal -1/6 binary32) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u)))) (*.f32 normAngle normAngle) (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32))) u)
(- (+ 1 (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (+ (* -1/5040 (/ (* n1_i (pow u 7)) n0_i)) (* -1/5040 (pow (- 1 u) 7))) (+ (* -1/6 (- (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5))) (+ (* -1/6 (- (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3))) (* -1/6 (- (+ 1 (/ (* n1_i u) n0_i)) u)))) (* 1/120 (- (+ 1 (/ (* n1_i u) n0_i)) u))))) (+ (* -1/5040 (- (+ 1 (/ (* n1_i u) n0_i)) u)) (* 1/120 (- (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3))) (* -1/6 (- (+ 1 (/ (* n1_i u) n0_i)) u)))))))))) (+ (* -1/6 (- (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3))) (* -1/6 (- (+ 1 (/ (* n1_i u) n0_i)) u)))) (* 1/120 (- (+ 1 (/ (* n1_i u) n0_i)) u))))))) (* -1/6 (- (+ 1 (/ (* n1_i u) n0_i)) u)))) (/ (* n1_i u) n0_i))) u)
(-.f32 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (/.f32 (pow.f32 u #s(literal 3 binary32)) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 n1_i (/.f32 (pow.f32 u #s(literal 7 binary32)) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)))) (fma.f32 (-.f32 (*.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)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 n1_i (/.f32 (pow.f32 u #s(literal 3 binary32)) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u))) #s(literal -1/6 binary32) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 n1_i (/.f32 (pow.f32 u #s(literal 3 binary32)) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u))) #s(literal 1/120 binary32) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.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))))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 n1_i (/.f32 (pow.f32 u #s(literal 3 binary32)) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u))) #s(literal -1/6 binary32) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u)))) (*.f32 normAngle normAngle) (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32))) u)
(* normAngle (- (+ 1 (/ (* n1_i u) n0_i)) u))
(*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) normAngle)
(* normAngle (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3)))) (/ (* n1_i u) n0_i))) u))
(*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (/.f32 (pow.f32 u #s(literal 3 binary32)) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 normAngle normAngle) (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32))) u) normAngle)
(* normAngle (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5))))))) (/ (* n1_i u) n0_i))) u))
(*.f32 (-.f32 (fma.f32 (fma.f32 (*.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)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (/.f32 (pow.f32 u #s(literal 3 binary32)) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) (*.f32 normAngle normAngle) (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32))) u) normAngle)
(* normAngle (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (+ (* -1/5040 (/ (* n1_i (pow u 7)) n0_i)) (* -1/5040 (pow (- 1 u) 7)))))))))) (/ (* n1_i u) n0_i))) u))
(*.f32 (-.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 n1_i (/.f32 (pow.f32 u #s(literal 7 binary32)) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)))) (*.f32 normAngle normAngle) (*.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))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (/.f32 (pow.f32 u #s(literal 3 binary32)) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) (*.f32 normAngle normAngle) (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32))) u) normAngle)
(* normAngle (- 1 u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(* n0_i (* normAngle (- 1 u)))
(*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i)
(* normAngle (+ (* -1/6 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 3)))) (* n0_i (- 1 u))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 normAngle normAngle)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) normAngle)
(* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* 1/120 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 5))))))))
(*.f32 (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 normAngle normAngle)) (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) normAngle)
(* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (+ (* -1/5040 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 7)))) (* 1/120 (* n0_i (pow (- 1 u) 5)))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) n0_i) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) (*.f32 normAngle normAngle)) (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) normAngle)
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))
(* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u)))))
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))))
(* (pow normAngle 2) (+ (* -1/6 (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))
(*.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i)) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle))
(* normAngle (- n1_i (* n0_i (cos normAngle))))
(*.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) normAngle)
(/ (* normAngle (* u (- n1_i (* n0_i (cos normAngle))))) (sin normAngle))
(/.f32 (*.f32 (*.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) u) normAngle) (sin.f32 normAngle))
(* normAngle (+ (/ n0_i normAngle) (/ (* u (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))))
(*.f32 (fma.f32 u (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)) (/.f32 n0_i normAngle)) normAngle)
(/ (* normAngle (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))
(/.f32 (*.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) normAngle) (sin.f32 normAngle))
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle))
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u))))
(fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))
(sin (* normAngle u))
(sin.f32 (*.f32 normAngle u))
(/ (* n0_i (+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle u))) n0_i))) (sin normAngle))
(*.f32 (/.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) n0_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) n0_i)
(/ (+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle u))) n0_i)) (sin normAngle))
(/.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) n0_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle u))) n0_i))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) n0_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(* n0_i (sin (* normAngle (- 1 u))))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)
(* -1 (* normAngle (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))))
(*.f32 (neg.f32 normAngle) (fma.f32 #s(literal -1 binary32) n1_i (*.f32 (cos.f32 normAngle) n0_i)))
(* -1 (/ (* normAngle (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle)))))) (sin normAngle)))
(*.f32 (neg.f32 normAngle) (/.f32 (*.f32 (fma.f32 #s(literal -1 binary32) n1_i (*.f32 (cos.f32 normAngle) n0_i)) u) (sin.f32 normAngle)))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))))
(*.f32 (neg.f32 normAngle) (fma.f32 u (/.f32 (fma.f32 #s(literal -1 binary32) n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)) (/.f32 (neg.f32 n0_i) normAngle)))
(* -1 (/ (* normAngle (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))
(/.f32 (*.f32 (neg.f32 normAngle) (fma.f32 #s(literal -1 binary32) n1_i (*.f32 (cos.f32 normAngle) n0_i))) (sin.f32 normAngle))
(* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))
(*.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) u)
(* u (- (+ (* -3 n0_i) (* 3 (* n0_i u))) (+ n1_i (* -1 n0_i))))
(*.f32 (-.f32 (*.f32 #s(literal -3 binary32) (-.f32 n0_i (*.f32 n0_i u))) (-.f32 n1_i n0_i)) u)
(* u (- (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i)))))) (+ n1_i (* -1 n0_i))))
(*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u)
(* -1 n0_i)
(neg.f32 n0_i)
(- (* -1 (* u (+ n1_i (* -1 n0_i)))) n0_i)
(-.f32 (*.f32 (neg.f32 u) (-.f32 n1_i n0_i)) n0_i)
(- (* u (- (* n1_i (pow u 2)) (+ n1_i (* -1 n0_i)))) n0_i)
(-.f32 (*.f32 (-.f32 (*.f32 (*.f32 u u) n1_i) (-.f32 n1_i n0_i)) u) n0_i)
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u 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 (fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32) (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u 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 (fma.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 3 binary32))) (cos.f32 normAngle)))) (sin.f32 normAngle)) u (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u n0_i)
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (-.f32 n1_i n0_i)) u n0_i)
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))))))
(fma.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32))) (-.f32 n1_i n0_i)) u n0_i)
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i))))))))))))
(fma.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (-.f32 n1_i n0_i)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) u)) u n0_i)
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
1
#s(literal 1 binary32)
(+ 1 (* -1 u))
(-.f32 #s(literal 1 binary32) u)
(* n1_i u)
(*.f32 n1_i u)
(+ n0_i (* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))))
(fma.f32 (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i)
(* n0_i (sin normAngle))
(*.f32 (sin.f32 normAngle) n0_i)
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle))))
(fma.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) u (*.f32 (sin.f32 normAngle) n0_i))
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle))))) (* n1_i normAngle)))))
(fma.f32 (-.f32 (fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) (*.f32 (sin.f32 normAngle) u)) #s(literal -1/2 binary32) (*.f32 normAngle n1_i)) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) u (*.f32 (sin.f32 normAngle) n0_i))
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* n1_i normAngle) (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) (sin normAngle)))) (* u (+ (* -1/6 (* n1_i (pow normAngle 3))) (* 1/6 (* n0_i (* (pow normAngle 3) (cos normAngle))))))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 3 binary32))) (cos.f32 normAngle)))) u (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) (sin.f32 normAngle)))) u (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i))) u (*.f32 (sin.f32 normAngle) n0_i))
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2)))))
(*.f32 (fma.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 u u) normAngle) u)
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2)))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32)) (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 u u) normAngle) u)
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 7) (pow u 2))) (* 1/120 (pow normAngle 5))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 normAngle #s(literal 7 binary32))) (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 u u) normAngle) u)
(+ n0_i (/ (* n0_i (* u (+ (* -1 (* normAngle (cos normAngle))) (/ (* n1_i normAngle) n0_i)))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (*.f32 (-.f32 (/.f32 (*.f32 normAngle n1_i) n0_i) (*.f32 (cos.f32 normAngle) normAngle)) u) (sin.f32 normAngle)) n0_i)
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n0_i (+ (* -1 (* normAngle (cos normAngle))) (/ (* n1_i normAngle) n0_i))) (sin normAngle)))))
(fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32) (/.f32 (*.f32 (-.f32 (/.f32 (*.f32 normAngle n1_i) n0_i) (*.f32 (cos.f32 normAngle) normAngle)) n0_i) (sin.f32 normAngle))) u n0_i)
(+ n0_i (* u (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n0_i (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) n0_i)) (* 1/6 (* (pow normAngle 3) (cos normAngle)))))) (sin normAngle)))) (/ (* n0_i (+ (* -1 (* normAngle (cos normAngle))) (/ (* n1_i normAngle) n0_i))) (sin normAngle)))))
(fma.f32 (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 normAngle n1_i) n0_i) (*.f32 (cos.f32 normAngle) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 normAngle normAngle) (/.f32 (*.f32 (*.f32 n0_i u) (*.f32 #s(literal -1/6 binary32) (-.f32 (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) n0_i) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (cos.f32 normAngle))))) (sin.f32 normAngle))) u)) u n0_i)
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))))
(fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 normAngle n1_i) n0_i) (*.f32 (cos.f32 normAngle) normAngle)) (sin.f32 normAngle)) u #s(literal 1 binary32))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) u (/.f32 (-.f32 (/.f32 (*.f32 normAngle n1_i) n0_i) (*.f32 (cos.f32 normAngle) normAngle)) (sin.f32 normAngle))) u #s(literal 1 binary32))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (+ (* u (+ (* -1/2 (pow normAngle 2)) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (* n0_i (sin normAngle)))) (* 1/6 (/ (* (pow normAngle 3) (cos normAngle)) (sin normAngle))))))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) n0_i)) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (cos.f32 normAngle)) (sin.f32 normAngle)))) u (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle))) u (/.f32 (-.f32 (/.f32 (*.f32 normAngle n1_i) n0_i) (*.f32 (cos.f32 normAngle) normAngle)) (sin.f32 normAngle))) u #s(literal 1 binary32))
(sin normAngle)
(sin.f32 normAngle)
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (/ (* n1_i normAngle) n0_i))))
(fma.f32 (-.f32 (/.f32 (*.f32 normAngle n1_i) n0_i) (*.f32 (cos.f32 normAngle) normAngle)) u (sin.f32 normAngle))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (+ (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))) (/ (* n1_i normAngle) n0_i)))))
(fma.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (*.f32 (sin.f32 normAngle) u) (/.f32 (*.f32 normAngle n1_i) n0_i)) (*.f32 (cos.f32 normAngle) normAngle)) u (sin.f32 normAngle))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (+ (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) n0_i)) (* 1/6 (* (pow normAngle 3) (cos normAngle))))))) (/ (* n1_i normAngle) n0_i)))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) n0_i) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (cos.f32 normAngle)))) u (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (sin.f32 normAngle))) u (-.f32 (/.f32 (*.f32 normAngle n1_i) n0_i) (*.f32 (cos.f32 normAngle) normAngle))) u (sin.f32 normAngle))
(+ 1 (* -3 u))
(fma.f32 #s(literal -3 binary32) u #s(literal 1 binary32))
(+ 1 (* u (- (* 3 u) 3)))
(fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) u) #s(literal 3 binary32)) u #s(literal 1 binary32))
(+ 1 (* u (- (* u (+ 3 (* -1 u))) 3)))
(fma.f32 (-.f32 (*.f32 (-.f32 #s(literal 3 binary32) u) u) #s(literal 3 binary32)) u #s(literal 1 binary32))
(* -1/6 (* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))
(*.f32 (*.f32 #s(literal -1/6 binary32) u) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)))
(* u (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) #s(literal -1/6 binary32) (*.f32 (*.f32 n0_i u) #s(literal -1/2 binary32))) u)
(* u (+ (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) u) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/2 binary32) n0_i)) u (*.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) #s(literal -1/6 binary32))) u)
(* n1_i (pow u 3))
(*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)
normAngle
(+ normAngle (* -1 (* normAngle u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(+ (* -1 (* n0_i (* normAngle (* u (cos normAngle))))) (* n0_i (sin normAngle)))
(*.f32 (neg.f32 n0_i) (-.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) (sin.f32 normAngle)))
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle))))))))
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(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(*.f32 (neg.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 normAngle) (/ (* n0_i (* normAngle (cos normAngle))) n1_i))))
(*.f32 (fma.f32 n0_i (/.f32 (*.f32 (cos.f32 normAngle) normAngle) n1_i) (neg.f32 normAngle)) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(*.f32 (neg.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) (sin.f32 normAngle)) n0_i) n1_i))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(*.f32 (/.f32 (fma.f32 n0_i (/.f32 (*.f32 (cos.f32 normAngle) normAngle) n1_i) (neg.f32 normAngle)) (sin.f32 normAngle)) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i)))))
(*.f32 (neg.f32 (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n1_i) (sin.f32 (*.f32 normAngle u)))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (* n0_i (sin normAngle)))) (* -1 (/ (sin (* normAngle (- 1 u))) (* n1_i (sin normAngle)))))))
(*.f32 (neg.f32 (/.f32 (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n1_i) (/.f32 (sin.f32 (*.f32 normAngle u)) n0_i)) (sin.f32 normAngle))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) n0_i)) (* -1 (/ (sin (* normAngle (- 1 u))) n1_i)))))
(*.f32 (-.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (neg.f32 n0_i)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n1_i)) (neg.f32 n1_i))
(* 1/6 (* n1_i (- (* -1 (pow u 3)) (* -1 u))))
(*.f32 (*.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) u) n1_i) #s(literal 1/6 binary32))
(* -1 (* n1_i (+ (* -1/6 (- (* -1 (pow u 3)) (* -1 u))) (* 1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)))))
(*.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) u) (/.f32 (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) n1_i))) (neg.f32 n1_i))

rewrite285.0ms (2.5%)

Memory
18.3MiB live, 293.3MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
055444
093444
1338412
22492412
08078412
Stop Event
iter limit
node limit
iter limit
Counts
26 → 511
Calls
Call 1
Inputs
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
(-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
(-.f32 #s(literal 1 binary32) u)
(*.f32 n1_i u)
(-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i))
(fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i)
(/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
(fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(sin.f32 (*.f32 normAngle u))
(*.f32 normAngle u)
(*.f32 (/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) n0_i)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) n0_i))
(/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle))
(fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))
(*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))))
(*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
Outputs
(/.f32 (neg.f32 (-.f32 (pow.f32 (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) #s(literal 2 binary32)) (pow.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)) #s(literal 2 binary32)))) (neg.f32 (+.f32 (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal 2 binary32)))) (neg.f32 (-.f32 (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) #s(literal 3 binary32)) (pow.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)) #s(literal 2 binary32)) (*.f32 (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) #s(literal 2 binary32))))) (neg.f32 (neg.f32 (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 9 binary32)) (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) (-.f32 (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (pow.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal 2 binary32))))))
(/.f32 (-.f32 (*.f32 (pow.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal 2 binary32)) (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))))) (*.f32 (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))) (pow.f32 (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) #s(literal 2 binary32)))) (*.f32 (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))) (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))))))
(/.f32 (-.f32 (*.f32 (-.f32 (pow.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) #s(literal 2 binary32))) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))))) (*.f32 (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(/.f32 (-.f32 (*.f32 (-.f32 (pow.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) #s(literal 2 binary32))) (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (+.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n1_i) u))))) (*.f32 (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (-.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 (*.f32 (neg.f32 n1_i) u) #s(literal 3 binary32))))) (*.f32 (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (+.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n1_i) u))))))
(/.f32 (-.f32 (*.f32 (-.f32 (pow.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) #s(literal 2 binary32))) (neg.f32 (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))) (*.f32 (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (neg.f32 (-.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)))))) (*.f32 (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (neg.f32 (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))))
(/.f32 (-.f32 (*.f32 (-.f32 (pow.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) #s(literal 2 binary32))) (neg.f32 (fma.f32 (*.f32 n1_i u) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))))) (*.f32 (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (*.f32 n1_i u) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)))))) (*.f32 (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 n1_i u) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))))))
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(fma.f32 (*.f32 (neg.f32 normAngle) (cos.f32 normAngle)) n0_i (*.f32 normAngle n1_i))
(fma.f32 normAngle n1_i (*.f32 (neg.f32 (cos.f32 normAngle)) (*.f32 normAngle n0_i)))
(fma.f32 normAngle n1_i (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle)))
(fma.f32 normAngle n1_i (neg.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)))
(fma.f32 n1_i normAngle (*.f32 (neg.f32 (cos.f32 normAngle)) (*.f32 normAngle n0_i)))
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(fma.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle)) n0_i)
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(*.f32 u normAngle)
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(*.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 n0_i (sin.f32 normAngle)))
(*.f32 n0_i (/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))
(/.f32 (neg.f32 (*.f32 (neg.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) n0_i)) (sin.f32 (neg.f32 (neg.f32 normAngle))))
(/.f32 (neg.f32 (*.f32 n0_i (neg.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))))) (sin.f32 (neg.f32 (neg.f32 normAngle))))
(/.f32 (neg.f32 (neg.f32 (*.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) n0_i))) (sin.f32 (neg.f32 (neg.f32 normAngle))))
(/.f32 (*.f32 (neg.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) n0_i) (sin.f32 (neg.f32 normAngle)))
(/.f32 (*.f32 n0_i (neg.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) (sin.f32 (neg.f32 normAngle)))
(/.f32 (neg.f32 (*.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) n0_i)) (sin.f32 (neg.f32 normAngle)))
(/.f32 (*.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) n0_i) (sin.f32 normAngle))
(fma.f32 (/.f32 (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n0_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(fma.f32 n0_i (/.f32 (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(+.f32 (*.f32 (/.f32 (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(+.f32 (*.f32 n0_i (/.f32 (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 n0_i (sin.f32 normAngle))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) #s(literal 2 binary32)))) (neg.f32 (/.f32 (-.f32 (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (/.f32 (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (/.f32 (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) #s(literal 2 binary32)) (*.f32 (/.f32 (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))))))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))))) (neg.f32 (sin.f32 (neg.f32 (neg.f32 normAngle)))))
(/.f32 (neg.f32 (fma.f32 (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle) (*.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) (neg.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))))
(/.f32 (fma.f32 (neg.f32 (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)))) (sin.f32 (neg.f32 normAngle)) (*.f32 (sin.f32 (neg.f32 normAngle)) (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))
(/.f32 (fma.f32 (neg.f32 (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)))) (sin.f32 (neg.f32 normAngle)) (*.f32 (sin.f32 (neg.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32)))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))
(/.f32 (fma.f32 (neg.f32 (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)))) (sin.f32 (neg.f32 normAngle)) (*.f32 (sin.f32 (neg.f32 normAngle)) (sin.f32 (fma.f32 normAngle (-.f32 #s(literal 1 binary32) u) (PI.f32))))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))
(/.f32 (fma.f32 (neg.f32 (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle) (*.f32 (sin.f32 (neg.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (*.f32 (sin.f32 (neg.f32 normAngle)) (sin.f32 normAngle)))
(/.f32 (fma.f32 (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 (neg.f32 normAngle)) (*.f32 (sin.f32 normAngle) (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) (*.f32 (sin.f32 normAngle) (sin.f32 (neg.f32 normAngle))))
(/.f32 (fma.f32 (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 (neg.f32 normAngle)) (*.f32 (sin.f32 normAngle) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32)))) (*.f32 (sin.f32 normAngle) (sin.f32 (neg.f32 normAngle))))
(/.f32 (fma.f32 (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 (neg.f32 normAngle)) (*.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (-.f32 #s(literal 1 binary32) u) (PI.f32))))) (*.f32 (sin.f32 normAngle) (sin.f32 (neg.f32 normAngle))))
(/.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (sin.f32 (neg.f32 normAngle)) (*.f32 (*.f32 n0_i (sin.f32 normAngle)) (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) (*.f32 (*.f32 n0_i (sin.f32 normAngle)) (sin.f32 (neg.f32 normAngle))))
(/.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (sin.f32 (neg.f32 normAngle)) (*.f32 (*.f32 n0_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32)))) (*.f32 (*.f32 n0_i (sin.f32 normAngle)) (sin.f32 (neg.f32 normAngle))))
(/.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (sin.f32 (neg.f32 normAngle)) (*.f32 (*.f32 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (-.f32 #s(literal 1 binary32) u) (PI.f32))))) (*.f32 (*.f32 n0_i (sin.f32 normAngle)) (sin.f32 (neg.f32 normAngle))))
(/.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_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)) (sin.f32 normAngle)))
(/.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 (neg.f32 normAngle)) (*.f32 (sin.f32 (neg.f32 normAngle)) (neg.f32 (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)))))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))
(/.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle) (*.f32 (sin.f32 (neg.f32 normAngle)) (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u))))) (*.f32 (sin.f32 (neg.f32 normAngle)) (sin.f32 normAngle)))
(/.f32 (fma.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n0_i (sin.f32 normAngle)) (*.f32 (sin.f32 (neg.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) (*.f32 (sin.f32 (neg.f32 normAngle)) (*.f32 n0_i (sin.f32 normAngle))))
(/.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32)) (sin.f32 (neg.f32 normAngle)) (*.f32 (sin.f32 (neg.f32 normAngle)) (neg.f32 (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)))))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))
(/.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32)) (sin.f32 normAngle) (*.f32 (sin.f32 (neg.f32 normAngle)) (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u))))) (*.f32 (sin.f32 (neg.f32 normAngle)) (sin.f32 normAngle)))
(/.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32)) (*.f32 n0_i (sin.f32 normAngle)) (*.f32 (sin.f32 (neg.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) (*.f32 (sin.f32 (neg.f32 normAngle)) (*.f32 n0_i (sin.f32 normAngle))))
(/.f32 (fma.f32 (sin.f32 (fma.f32 normAngle (-.f32 #s(literal 1 binary32) u) (PI.f32))) (sin.f32 (neg.f32 normAngle)) (*.f32 (sin.f32 (neg.f32 normAngle)) (neg.f32 (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)))))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))
(/.f32 (fma.f32 (sin.f32 (fma.f32 normAngle (-.f32 #s(literal 1 binary32) u) (PI.f32))) (sin.f32 normAngle) (*.f32 (sin.f32 (neg.f32 normAngle)) (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u))))) (*.f32 (sin.f32 (neg.f32 normAngle)) (sin.f32 normAngle)))
(/.f32 (fma.f32 (sin.f32 (fma.f32 normAngle (-.f32 #s(literal 1 binary32) u) (PI.f32))) (*.f32 n0_i (sin.f32 normAngle)) (*.f32 (sin.f32 (neg.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) (*.f32 (sin.f32 (neg.f32 normAngle)) (*.f32 n0_i (sin.f32 normAngle))))
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 (neg.f32 normAngle)) (*.f32 (sin.f32 normAngle) (neg.f32 (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)))))) (*.f32 (sin.f32 normAngle) (sin.f32 (neg.f32 normAngle))))
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle) (*.f32 (sin.f32 normAngle) (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u))))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n0_i (sin.f32 normAngle)) (*.f32 (sin.f32 normAngle) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) (*.f32 (sin.f32 normAngle) (*.f32 n0_i (sin.f32 normAngle))))
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 (-.f32 (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))
(/.f32 (+.f32 (pow.f32 (/.f32 (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) #s(literal 2 binary32)) (*.f32 (/.f32 (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)))) (neg.f32 (*.f32 (-.f32 (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32)))) (neg.f32 (*.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (-.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)))) (pow.f32 (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32))) (sin.f32 normAngle))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) (sin.f32 (neg.f32 (neg.f32 normAngle))))
(/.f32 (fma.f32 (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle) (*.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))
(/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32))) (*.f32 (-.f32 (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)))
(/.f32 (+.f32 (pow.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32))) (*.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (-.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)))) (pow.f32 (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32))) (sin.f32 normAngle)))
(/.f32 (neg.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 (neg.f32 normAngle)))
(/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(fma.f32 (/.f32 n1_i n0_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 (/.f32 n1_i n0_i) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(+.f32 (/.f32 (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) (/.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))) (sin.f32 normAngle)) (/.f32 (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(neg.f32 (/.f32 (neg.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)))
(neg.f32 (/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 (neg.f32 normAngle))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (pow.f32 (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)))) (neg.f32 (-.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u))))))
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(/.f32 (neg.f32 (fma.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) n0_i) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 9 binary32)) (*.f32 #s(literal -1/216 binary32) (pow.f32 (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) #s(literal 3 binary32))))) (neg.f32 (+.f32 (pow.f32 (*.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))))))))
(/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) #s(literal 2 binary32))) #s(literal -1/6 binary32)) (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))))
(/.f32 (*.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 9 binary32)) (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) #s(literal 3 binary32))) #s(literal -1/6 binary32)) (fma.f32 (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) (-.f32 (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (pow.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal 2 binary32))))
(/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) #s(literal 2 binary32)))) (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))))
(/.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 9 binary32)) (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) #s(literal 3 binary32)))) (fma.f32 (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) (-.f32 (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (pow.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal 2 binary32))))
(/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))) #s(literal 2 binary32))) (-.f32 (*.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))))))
(/.f32 (fma.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) n0_i) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 9 binary32)) (*.f32 #s(literal -1/216 binary32) (pow.f32 (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) #s(literal 3 binary32)))) (+.f32 (pow.f32 (*.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))))))))
(-.f32 (*.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32)) (*.f32 (neg.f32 (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))) #s(literal -1/6 binary32)))
(-.f32 (*.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) n0_i (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))))
(fma.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))))
(fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) (*.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32)))
(fma.f32 (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) #s(literal -1/6 binary32) (*.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32)))
(fma.f32 n0_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))))
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 n0_i #s(literal -1/6 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))))
(+.f32 (*.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))))
(+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))) (*.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32)))
(*.f32 (*.f32 n1_i (pow.f32 u #s(literal 3/2 binary32))) (pow.f32 u #s(literal 3/2 binary32)))
(*.f32 (*.f32 n1_i (*.f32 u u)) u)
(*.f32 (pow.f32 u #s(literal 3/2 binary32)) (*.f32 (pow.f32 u #s(literal 3/2 binary32)) n1_i))
(*.f32 (*.f32 u u) (*.f32 n1_i u))
(*.f32 (*.f32 n1_i u) (*.f32 u u))
(*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))
(*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)
(*.f32 u (*.f32 (*.f32 u u) n1_i))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle)) (neg.f32 (+.f32 u #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle)) (neg.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u)))) (neg.f32 (+.f32 u #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))))) (neg.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 u #s(literal 1 binary32)))
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle)) (neg.f32 (+.f32 u #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle)) (neg.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u)))) (neg.f32 (+.f32 u #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))))) (neg.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 u #s(literal 1 binary32)))
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))

eval240.0ms (2.1%)

Memory
-14.9MiB live, 276.3MiB allocated; 57ms collecting garbage
Compiler

Compiled 61 789 to 4 489 computations (92.7% saved)

prune73.0ms (0.6%)

Memory
18.7MiB live, 110.8MiB allocated; 7ms collecting garbage
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New91719936
Fresh10010
Picked505
Done000
Total93219951
Accuracy
100.0%
Counts
951 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.9%
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) #s(approx (* n0_i (sin (* normAngle (- 1 u)))) (*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i))) (sin.f32 normAngle))
77.1%
(/.f32 (fma.f32 n1_i #s(approx (sin (* normAngle u)) (*.f32 (fma.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 u u) normAngle) u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
99.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
99.1%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (*.f32 #s(literal -3 binary32) (-.f32 n0_i (*.f32 n0_i u))) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
98.9%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
99.4%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
99.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
98.6%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
97.9%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u)) n0_i (*.f32 n1_i u)))
82.2%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i (*.f32 n1_i u)))
98.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
59.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (/.f32 #s(approx (+ (* (/ n1_i n0_i) (sin (* normAngle u))) (sin (* (- 1 u) normAngle))) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) n0_i))
97.9%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n1_i n0_i) (sin (* normAngle u))) (sin (* (- 1 u) normAngle))) (sin normAngle)) (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u)) n0_i))
38.5%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
99.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i))))
97.8%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i)))
36.9%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)))
59.1%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))
99.4%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32))) (-.f32 n1_i n0_i)) u n0_i)))
Compiler

Compiled 2 034 to 1 176 computations (42.2% saved)

simplify206.0ms (1.8%)

Memory
1.0MiB live, 289.5MiB allocated; 25ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32))) (-.f32 n1_i n0_i)) u n0_i))
cost-diff0
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32))) (-.f32 n1_i n0_i)) u n0_i)))
cost-diff1
(+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32))) (-.f32 n1_i n0_i))
cost-diff4
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32)))
cost-diff0
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))
cost-diff0
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)))
cost-diff0
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)
cost-diff0
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
cost-diff0
(-.f32 #s(literal 1 binary32) u)
cost-diff0
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
cost-diff0
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
cost-diff0
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
cost-diff0
(-.f32 #s(literal 1 binary32) u)
cost-diff0
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
cost-diff0
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
cost-diff0
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))
cost-diff0
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)))
cost-diff0
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)
cost-diff0
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
cost-diff2
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079897
0116891
1262871
2803827
33753827
08510795
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)))
(fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))
(fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))))
(-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32))))
(*.f32 #s(literal -1/24 binary32) n0_i)
#s(literal -1/24 binary32)
n0_i
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))
#s(literal 1/2 binary32)
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))
#s(literal 1/6 binary32)
(-.f32 n1_i n0_i)
n1_i
#s(literal -1/6 binary32)
(*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32))
#s(literal 1/120 binary32)
(*.f32 normAngle normAngle)
normAngle
u
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
n0_i
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
u
n1_i
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
n0_i
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))
#s(literal 1/2 binary32)
n0_i
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))
#s(literal 1/6 binary32)
(-.f32 n1_i n0_i)
n1_i
(*.f32 normAngle normAngle)
normAngle
u
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32))) (-.f32 n1_i n0_i)) u n0_i)))
#s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32))) (-.f32 n1_i n0_i)) u n0_i))
(fma.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32))) (-.f32 n1_i n0_i)) u n0_i)
(+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32))) (-.f32 n1_i n0_i))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32)))
(*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle))
#s(literal -1/6 binary32)
(*.f32 normAngle normAngle)
normAngle
(-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i))
(*.f32 #s(literal -3 binary32) n0_i)
#s(literal -3 binary32)
n0_i
(-.f32 n1_i n0_i)
n1_i
(*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32))
(*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i)
(*.f32 (*.f32 normAngle normAngle) u)
u
#s(literal -1/2 binary32)
Outputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/12 binary32) n0_i (fma.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/12 binary32) n0_i (fma.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)))
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/12 binary32) n0_i (fma.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)))
(fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))
(fma.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/12 binary32) n0_i (fma.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))
(fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))))
(fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/12 binary32) n0_i (fma.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))
(-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32))))
(-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/12 binary32) n0_i (fma.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)))))
(*.f32 #s(literal -1/24 binary32) n0_i)
#s(literal -1/24 binary32)
n0_i
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))
(fma.f32 #s(literal -1/12 binary32) n0_i (fma.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))
#s(literal 1/2 binary32)
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))
(*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))
#s(literal 1/6 binary32)
(-.f32 n1_i n0_i)
n1_i
#s(literal -1/6 binary32)
(*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32))
(*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))
#s(literal 1/120 binary32)
(*.f32 normAngle normAngle)
normAngle
u
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
n0_i
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
u
n1_i
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
n0_i
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) n1_i) n0_i)) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) n1_i) n0_i)) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)))
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) n1_i) n0_i))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))
(-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) n1_i) n0_i)
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))
#s(literal 1/2 binary32)
n0_i
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))
(*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))
#s(literal 1/6 binary32)
(-.f32 n1_i n0_i)
n1_i
(*.f32 normAngle normAngle)
normAngle
u
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32))) (-.f32 n1_i n0_i)) u n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (-.f32 (+.f32 n0_i (*.f32 #s(literal -3 binary32) n0_i)) n1_i) #s(literal -1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) u)) (-.f32 n1_i n0_i)) u n0_i)))
#s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32))) (-.f32 n1_i n0_i)) u n0_i))
#s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (-.f32 (+.f32 n0_i (*.f32 #s(literal -3 binary32) n0_i)) n1_i) #s(literal -1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) u)) (-.f32 n1_i n0_i)) u n0_i))
(fma.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32))) (-.f32 n1_i n0_i)) u n0_i)
(fma.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (-.f32 (+.f32 n0_i (*.f32 #s(literal -3 binary32) n0_i)) n1_i) #s(literal -1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) u)) (-.f32 n1_i n0_i)) u n0_i)
(+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32))) (-.f32 n1_i n0_i))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (-.f32 (+.f32 n0_i (*.f32 #s(literal -3 binary32) n0_i)) n1_i) #s(literal -1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) u)) (-.f32 n1_i n0_i))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32)))
(*.f32 (*.f32 normAngle normAngle) (fma.f32 (-.f32 (+.f32 n0_i (*.f32 #s(literal -3 binary32) n0_i)) n1_i) #s(literal -1/6 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) u)))
(*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle))
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
(*.f32 normAngle normAngle)
normAngle
(-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i))
(-.f32 (+.f32 n0_i (*.f32 #s(literal -3 binary32) n0_i)) n1_i)
(*.f32 #s(literal -3 binary32) n0_i)
#s(literal -3 binary32)
n0_i
(-.f32 n1_i n0_i)
n1_i
(*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32))
(*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i))
(*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i)
(*.f32 (*.f32 normAngle normAngle) u)
u
#s(literal -1/2 binary32)

localize485.0ms (4.3%)

Memory
-5.6MiB live, 278.0MiB allocated; 102ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.088512778289693
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32))) (-.f32 n1_i n0_i)) u n0_i)))
accuracy0.10546875
(*.f32 (*.f32 normAngle normAngle) u)
accuracy0.171875
(*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle))
accuracy0.363945019536884
(-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i))
accuracy0.10597414404948458
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
accuracy0.3135691678831041
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)))
accuracy0.33041000976844204
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))
accuracy0.375
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))
accuracy0.0
(-.f32 #s(literal 1 binary32) u)
accuracy0.03125
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
accuracy0.14453125
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
accuracy0.39661663386720636
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
accuracy0.0
(-.f32 #s(literal 1 binary32) u)
accuracy0.14453125
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
accuracy0.39661663386720636
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))
accuracy12.4035235339402
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
accuracy0.375
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))
accuracy0.3963052246741666
(-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32))))
accuracy0.4372062988422101
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))
accuracy0.615566259768442
(*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32))
Samples
197.0ms248×0valid
13.0ms5exit
2.0ms1valid
Compiler

Compiled 593 to 77 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 141.0ms
ival-mult: 61.0ms (43.3% of total)
ival-sub: 29.0ms (20.6% of total)
ival-add: 16.0ms (11.3% of total)
const: 12.0ms (8.5% of total)
adjust: 7.0ms (5% of total)
ival-sin: 6.0ms (4.3% of total)
ival-pow: 5.0ms (3.5% of total)
ival-div: 3.0ms (2.1% of total)
ival-cos: 2.0ms (1.4% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series90.0ms (0.8%)

Memory
8.0MiB live, 201.8MiB allocated; 24ms collecting garbage
Counts
26 → 197
Calls
Call 1
Inputs
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
(-.f32 #s(literal 1 binary32) u)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32)))
(+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32))) (-.f32 n1_i n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32))) (-.f32 n1_i n0_i)) u n0_i)))
#s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32))) (-.f32 n1_i n0_i)) u n0_i))
(*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32))
(-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32))))
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))
(-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i))
(*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle))
(*.f32 (*.f32 normAngle normAngle) u)
Outputs
(+ (* 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 (* u (- n1_i n0_i)))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(- n1_i n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))) n0_i)
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (* -1/6 (- (+ n0_i (* -3 n0_i)) n1_i))))
(- (+ n1_i (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (* -1/6 (- (+ n0_i (* -3 n0_i)) n1_i))))) n0_i)
(+ (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u))))) (+ (* n0_i (- 1 u)) (* n1_i u)))
(* -1/6 (pow normAngle 2))
(* (pow normAngle 2) u)
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* normAngle (* u (- n1_i (* n0_i (cos normAngle))))) (sin normAngle))
(* normAngle (+ (/ n0_i normAngle) (/ (* u (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))))
(/ (* normAngle (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))
(* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))
(* (pow normAngle 2) (- (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2))))
(* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (+ n0_i (* -3 n0_i)) n1_i)) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2))))
(* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u)))))
(* (pow normAngle 2) (+ (* -1/6 (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))
(* -1 (/ (* normAngle (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle)))))) (sin normAngle)))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))))
(* -1 (/ (* normAngle (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -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 (* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(+ n0_i (* -1 (* n0_i u)))
1
(+ 1 (* -1 u))
(* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i))))
(- (+ n1_i (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)))) n0_i)
(- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i))))) n0_i)
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))))))
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))))))
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i))))))))))))
(* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))
(* u (- (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))
(* u (+ n1_i (* -1 n0_i)))
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(* -1 (* n0_i u))
(* u (+ (* -1 n0_i) (/ n0_i u)))
(* -1 u)
(* u (- (/ 1 u) 1))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (/ (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)) u))))
(* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)) u)) (/ n1_i u))) (/ n0_i u)))
(* -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)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (/ n1_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)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2))))))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* u (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle))))) (sin normAngle))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle)))) (sin normAngle))))))
(* -1 (* u (+ n0_i (* -1 n1_i))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))
(* -1 (* u (- 1 (/ 1 u))))
(* -1 (* u (+ (* 1/6 (/ (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(* -1 (* u (+ (* -1 (/ (- (+ n1_i (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 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) (* -1/6 (* (pow normAngle 2) (- (* 3 n0_i) (+ n0_i (* -1 n1_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)) (* -1/6 (* (pow normAngle 2) (- (* 3 n0_i) (+ n0_i (* -1 n1_i)))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))))))
(+ (* -1/36 n1_i) (* 1/120 n1_i))
(+ (* -23/360 n0_i) (+ (* -1/36 n1_i) (* 1/120 n1_i)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(* n1_i u)
(* n0_i (- 1 u))
(+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))
(+ n1_i (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))))
(* 1/6 (* n1_i (pow normAngle 2)))
(+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2)))))
(+ n1_i (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1))))
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u))
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (+ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) (* n1_i u)))
(* 1/120 n1_i)
(+ (* -1/120 n0_i) (* 1/120 n1_i))
(* -1 (+ (* -1/36 n1_i) (* 1/120 n1_i)))
(- (* 1/45 n0_i) (+ (* -1/36 n1_i) (* 1/120 n1_i)))
(* 1/6 n1_i)
(+ (* -1/6 n0_i) (* 1/6 n1_i))
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(* -1 n1_i)
(- (* -2 n0_i) n1_i)
(* -23/360 n0_i)
(* n0_i (- (+ (* -1/36 (/ n1_i n0_i)) (* 1/120 (/ n1_i n0_i))) 23/360))
(/ (* 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 (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(* n0_i (- (* 1/3 (pow normAngle 2)) 1))
(* n0_i (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/3 (pow normAngle 2)) (/ n1_i n0_i))) 1))
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))))
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (* 1/3 (pow normAngle 2)))))
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1))
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/3 (pow normAngle 2)) (/ n1_i n0_i)))) 1))
(* 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))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u))) n0_i)) (/ (* n1_i u) n0_i)))) u))
(* -1/120 n0_i)
(* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120))
(* 1/45 n0_i)
(* n0_i (+ 1/45 (* -1 (/ (+ (* -1/36 n1_i) (* 1/120 n1_i)) n0_i))))
(* -1/6 n0_i)
(* n0_i (- (* 1/6 (/ n1_i n0_i)) 1/6))
(* 1/3 n0_i)
(* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))
(* -2 n0_i)
(* n0_i (- (* -1 (/ n1_i n0_i)) 2))
(* -1 (* n0_i (+ 23/360 (* -1 (/ (+ (* -1/36 n1_i) (* 1/120 n1_i)) n0_i)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ 1 (* -1/3 (pow normAngle 2)))))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) n0_i)) (* -1/3 (pow normAngle 2))))))
(* -1 (* n0_i (+ (* -1/3 (pow normAngle 2)) (* 1/2 (* (pow normAngle 2) u)))))
(* -1 (* n0_i (+ (* -1/3 (pow normAngle 2)) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (* 1/2 (* (pow normAngle 2) u))))))
(* -1 (* n0_i (+ 1 (+ (* -1/3 (pow normAngle 2)) (* 1/2 (* (pow normAngle 2) u))))))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) n0_i)) (+ (* -1/3 (pow normAngle 2)) (* 1/2 (* (pow normAngle 2) u)))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))))))))
(* -1 (* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i)))))
(* -1 (* n0_i (- (+ (* -1/36 (/ n1_i n0_i)) (* 1/120 (/ n1_i n0_i))) 1/45)))
(* -1 (* n0_i (+ 1/6 (* -1/6 (/ n1_i n0_i)))))
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))
(* -1 (* n0_i (+ 2 (/ n1_i n0_i))))
(+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))
(+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (+ (* -7/360 n1_i) (* -1/120 n0_i)))
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(- (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/2 n0_i))) n0_i)
(- (+ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/2 n0_i)))) n0_i)
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i)))))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i)))) (* 1/6 (* n1_i (pow normAngle 2)))))
(- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i))))) n0_i)
(- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))))) n0_i)
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u)))
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))))
(- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))
(- (+ (* -1/24 n0_i) (* 7/360 n1_i)) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))
(+ (* -1/6 n0_i) (* 1/2 n0_i))
(+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (* 1/2 n0_i)))
(+ n0_i (* -3 n0_i))
(+ n0_i (+ (* -3 n0_i) (* -1 n1_i)))
(* -7/360 n1_i)
(* n1_i (- (+ (* -1/6 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) (* -1/120 (/ n0_i n1_i))) 7/360))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(* n1_i (+ 1 (* 1/6 (pow normAngle 2))))
(* n1_i (- (+ 1 (+ (* 1/6 (pow normAngle 2)) (/ (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/2 n0_i))) n1_i))) (/ n0_i n1_i)))
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (* 1/6 (pow normAngle 2)))))
(* n1_i (- (+ 1 (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (* 1/6 (pow normAngle 2))))) (/ n0_i n1_i)))
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))) n1_i)) (/ (* n0_i (- 1 u)) n1_i)))))
(* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i))))
(* 7/360 n1_i)
(* n1_i (- (+ 7/360 (* -1/24 (/ n0_i n1_i))) (+ (* -1/6 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) (* -1/120 (/ n0_i n1_i)))))
(* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i))))
(* n1_i (+ 1/6 (+ (* -1/6 (/ n0_i n1_i)) (* 1/2 (/ n0_i n1_i)))))
(* n1_i (- (+ (* -3 (/ n0_i n1_i)) (/ n0_i n1_i)) 1))
(* -1 (* n1_i (+ 7/360 (* -1 (/ (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(* -1 (* n1_i (- (* -1/6 (pow normAngle 2)) 1)))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/2 n0_i))) n0_i) n1_i)) (* -1/6 (pow normAngle 2))) 1)))
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i))))) n1_i)) (* -1/6 (pow normAngle 2)))))
(* -1 (* n1_i (- (+ (* -1 (/ (- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i))))) n0_i) n1_i)) (* -1/6 (pow normAngle 2))) 1)))
(* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u)))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) n1_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u))))))))
(* -1 (* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120)))
(* -1 (* n1_i (- (* -1 (/ (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))) n1_i)) 7/360)))
(* -1 (* n1_i (- (* 1/6 (/ n0_i n1_i)) 1/6)))
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) 1/6)))
(* -1 (* n1_i (+ 1 (* -1 (/ (+ n0_i (* -3 n0_i)) n1_i)))))
Calls

12 calls:

TimeVariablePointExpression
25.0ms
normAngle
@0
((+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- 1 u) n0_i) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* u n1_i) (* n0_i (- 1 u))) (* n0_i (- 1 u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) (- n1_i n0_i)) (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (* (* (* (* normAngle normAngle) u) n0_i) -1/2)) (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (* (* (* (* normAngle normAngle) u) n0_i) -1/2)) (- n1_i n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* (- n1_i n0_i) 1/120) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (- (* -3 n0_i) (- n1_i n0_i)) (* -1/6 (* normAngle normAngle)) (* (* normAngle normAngle) u))
9.0ms
normAngle
@inf
((+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- 1 u) n0_i) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* u n1_i) (* n0_i (- 1 u))) (* n0_i (- 1 u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) (- n1_i n0_i)) (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (* (* (* (* normAngle normAngle) u) n0_i) -1/2)) (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (* (* (* (* normAngle normAngle) u) n0_i) -1/2)) (- n1_i n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* (- n1_i n0_i) 1/120) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (- (* -3 n0_i) (- n1_i n0_i)) (* -1/6 (* normAngle normAngle)) (* (* normAngle normAngle) u))
6.0ms
n0_i
@-inf
((+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- 1 u) n0_i) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* u n1_i) (* n0_i (- 1 u))) (* n0_i (- 1 u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) (- n1_i n0_i)) (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (* (* (* (* normAngle normAngle) u) n0_i) -1/2)) (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (* (* (* (* normAngle normAngle) u) n0_i) -1/2)) (- n1_i n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* (- n1_i n0_i) 1/120) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (- (* -3 n0_i) (- n1_i n0_i)) (* -1/6 (* normAngle normAngle)) (* (* normAngle normAngle) u))
5.0ms
n0_i
@0
((+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- 1 u) n0_i) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* u n1_i) (* n0_i (- 1 u))) (* n0_i (- 1 u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) (- n1_i n0_i)) (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (* (* (* (* normAngle normAngle) u) n0_i) -1/2)) (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (* (* (* (* normAngle normAngle) u) n0_i) -1/2)) (- n1_i n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* (- n1_i n0_i) 1/120) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (- (* -3 n0_i) (- n1_i n0_i)) (* -1/6 (* normAngle normAngle)) (* (* normAngle normAngle) u))
5.0ms
n1_i
@0
((+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- 1 u) n0_i) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* u n1_i) (* n0_i (- 1 u))) (* n0_i (- 1 u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) (- n1_i n0_i)) (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (* (* (* (* normAngle normAngle) u) n0_i) -1/2)) (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (* (* (* (* normAngle normAngle) u) n0_i) -1/2)) (- n1_i n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* (- n1_i n0_i) 1/120) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (- (* -3 n0_i) (- n1_i n0_i)) (* -1/6 (* normAngle normAngle)) (* (* normAngle normAngle) u))

simplify205.0ms (1.8%)

Memory
14.8MiB live, 339.7MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08233909
128643702
086243466
Stop Event
iter limit
node limit
Counts
197 → 196
Calls
Call 1
Inputs
(+ (* 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 (* u (- n1_i n0_i)))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(- n1_i n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))) n0_i)
(* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (* -1/6 (- (+ n0_i (* -3 n0_i)) n1_i))))
(- (+ n1_i (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (* -1/6 (- (+ n0_i (* -3 n0_i)) n1_i))))) n0_i)
(+ (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u))))) (+ (* n0_i (- 1 u)) (* n1_i u)))
(* -1/6 (pow normAngle 2))
(* (pow normAngle 2) u)
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* normAngle (* u (- n1_i (* n0_i (cos normAngle))))) (sin normAngle))
(* normAngle (+ (/ n0_i normAngle) (/ (* u (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))))
(/ (* normAngle (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))
(* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))
(* (pow normAngle 2) (- (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2))))
(* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (+ n0_i (* -3 n0_i)) n1_i)) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2))))
(* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u)))))
(* (pow normAngle 2) (+ (* -1/6 (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))
(* -1 (/ (* normAngle (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle)))))) (sin normAngle)))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))))
(* -1 (/ (* normAngle (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -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 (* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(+ n0_i (* -1 (* n0_i u)))
1
(+ 1 (* -1 u))
(* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i))))
(- (+ n1_i (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)))) n0_i)
(- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i))))) n0_i)
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))))))
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))))))
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i))))))))))))
(* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))
(* u (- (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))
(* u (+ n1_i (* -1 n0_i)))
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(* -1 (* n0_i u))
(* u (+ (* -1 n0_i) (/ n0_i u)))
(* -1 u)
(* u (- (/ 1 u) 1))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (/ (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)) u))))
(* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)) u)) (/ n1_i u))) (/ n0_i u)))
(* -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)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (/ n1_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)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2))))))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* u (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle))))) (sin normAngle))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle)))) (sin normAngle))))))
(* -1 (* u (+ n0_i (* -1 n1_i))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))
(* -1 (* u (- 1 (/ 1 u))))
(* -1 (* u (+ (* 1/6 (/ (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(* -1 (* u (+ (* -1 (/ (- (+ n1_i (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 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) (* -1/6 (* (pow normAngle 2) (- (* 3 n0_i) (+ n0_i (* -1 n1_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)) (* -1/6 (* (pow normAngle 2) (- (* 3 n0_i) (+ n0_i (* -1 n1_i)))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))))))
(+ (* -1/36 n1_i) (* 1/120 n1_i))
(+ (* -23/360 n0_i) (+ (* -1/36 n1_i) (* 1/120 n1_i)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(* n1_i u)
(* n0_i (- 1 u))
(+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))
(+ n1_i (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))))
(* 1/6 (* n1_i (pow normAngle 2)))
(+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2)))))
(+ n1_i (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1))))
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u))
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (+ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) (* n1_i u)))
(* 1/120 n1_i)
(+ (* -1/120 n0_i) (* 1/120 n1_i))
(* -1 (+ (* -1/36 n1_i) (* 1/120 n1_i)))
(- (* 1/45 n0_i) (+ (* -1/36 n1_i) (* 1/120 n1_i)))
(* 1/6 n1_i)
(+ (* -1/6 n0_i) (* 1/6 n1_i))
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(* -1 n1_i)
(- (* -2 n0_i) n1_i)
(* -23/360 n0_i)
(* n0_i (- (+ (* -1/36 (/ n1_i n0_i)) (* 1/120 (/ n1_i n0_i))) 23/360))
(/ (* 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 (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(* n0_i (- (* 1/3 (pow normAngle 2)) 1))
(* n0_i (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/3 (pow normAngle 2)) (/ n1_i n0_i))) 1))
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))))
(* n0_i (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (* 1/3 (pow normAngle 2)))))
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1))
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/3 (pow normAngle 2)) (/ n1_i n0_i)))) 1))
(* 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))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u))) n0_i)) (/ (* n1_i u) n0_i)))) u))
(* -1/120 n0_i)
(* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120))
(* 1/45 n0_i)
(* n0_i (+ 1/45 (* -1 (/ (+ (* -1/36 n1_i) (* 1/120 n1_i)) n0_i))))
(* -1/6 n0_i)
(* n0_i (- (* 1/6 (/ n1_i n0_i)) 1/6))
(* 1/3 n0_i)
(* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))
(* -2 n0_i)
(* n0_i (- (* -1 (/ n1_i n0_i)) 2))
(* -1 (* n0_i (+ 23/360 (* -1 (/ (+ (* -1/36 n1_i) (* 1/120 n1_i)) n0_i)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ 1 (* -1/3 (pow normAngle 2)))))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) n0_i)) (* -1/3 (pow normAngle 2))))))
(* -1 (* n0_i (+ (* -1/3 (pow normAngle 2)) (* 1/2 (* (pow normAngle 2) u)))))
(* -1 (* n0_i (+ (* -1/3 (pow normAngle 2)) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (* 1/2 (* (pow normAngle 2) u))))))
(* -1 (* n0_i (+ 1 (+ (* -1/3 (pow normAngle 2)) (* 1/2 (* (pow normAngle 2) u))))))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) n0_i)) (+ (* -1/3 (pow normAngle 2)) (* 1/2 (* (pow normAngle 2) u)))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))))))))
(* -1 (* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i)))))
(* -1 (* n0_i (- (+ (* -1/36 (/ n1_i n0_i)) (* 1/120 (/ n1_i n0_i))) 1/45)))
(* -1 (* n0_i (+ 1/6 (* -1/6 (/ n1_i n0_i)))))
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))
(* -1 (* n0_i (+ 2 (/ n1_i n0_i))))
(+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))
(+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (+ (* -7/360 n1_i) (* -1/120 n0_i)))
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(- (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/2 n0_i))) n0_i)
(- (+ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/2 n0_i)))) n0_i)
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i)))))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i)))) (* 1/6 (* n1_i (pow normAngle 2)))))
(- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i))))) n0_i)
(- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))))) n0_i)
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u)))
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))))
(- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))
(- (+ (* -1/24 n0_i) (* 7/360 n1_i)) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))
(+ (* -1/6 n0_i) (* 1/2 n0_i))
(+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (* 1/2 n0_i)))
(+ n0_i (* -3 n0_i))
(+ n0_i (+ (* -3 n0_i) (* -1 n1_i)))
(* -7/360 n1_i)
(* n1_i (- (+ (* -1/6 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) (* -1/120 (/ n0_i n1_i))) 7/360))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(* n1_i (+ 1 (* 1/6 (pow normAngle 2))))
(* n1_i (- (+ 1 (+ (* 1/6 (pow normAngle 2)) (/ (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/2 n0_i))) n1_i))) (/ n0_i n1_i)))
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (* 1/6 (pow normAngle 2)))))
(* n1_i (- (+ 1 (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (* 1/6 (pow normAngle 2))))) (/ n0_i n1_i)))
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))) n1_i)) (/ (* n0_i (- 1 u)) n1_i)))))
(* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i))))
(* 7/360 n1_i)
(* n1_i (- (+ 7/360 (* -1/24 (/ n0_i n1_i))) (+ (* -1/6 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) (* -1/120 (/ n0_i n1_i)))))
(* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i))))
(* n1_i (+ 1/6 (+ (* -1/6 (/ n0_i n1_i)) (* 1/2 (/ n0_i n1_i)))))
(* n1_i (- (+ (* -3 (/ n0_i n1_i)) (/ n0_i n1_i)) 1))
(* -1 (* n1_i (+ 7/360 (* -1 (/ (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(* -1 (* n1_i (- (* -1/6 (pow normAngle 2)) 1)))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/2 n0_i))) n0_i) n1_i)) (* -1/6 (pow normAngle 2))) 1)))
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i))))) n1_i)) (* -1/6 (pow normAngle 2)))))
(* -1 (* n1_i (- (+ (* -1 (/ (- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i))))) n0_i) n1_i)) (* -1/6 (pow normAngle 2))) 1)))
(* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u)))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) n1_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u))))))))
(* -1 (* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120)))
(* -1 (* n1_i (- (* -1 (/ (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))) n1_i)) 7/360)))
(* -1 (* n1_i (- (* 1/6 (/ n0_i n1_i)) 1/6)))
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) 1/6)))
(* -1 (* n1_i (+ 1 (* -1 (/ (+ n0_i (* -3 n0_i)) n1_i)))))
Outputs
(+ (* n0_i (- 1 u)) (* n1_i u))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) n0_i (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.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 (fma.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) n0_i (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 u #s(literal 7 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i))) (fma.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)) n0_i (*.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))))) (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 #s(literal 1/120 binary32) (*.f32 u n1_i))))) (fma.f32 #s(literal -1/5040 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)) (fma.f32 #s(literal -1/720 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1/720 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u))))))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)))
(+ n0_i (* u (- n1_i n0_i)))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) u) n0_i (*.f32 (*.f32 #s(literal 1/6 binary32) u) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 u n0_i)) (fma.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)) u (*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) u) n0_i (*.f32 (*.f32 #s(literal 1/6 binary32) u) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal 1/2 binary32) u) n0_i (*.f32 (*.f32 #s(literal 1/6 binary32) u) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(fma.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 u n0_i)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 u n0_i)) (fma.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)) u (*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) u) n0_i (*.f32 (*.f32 #s(literal 1/6 binary32) u) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/5040 binary32)) u (*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) u) n0_i (*.f32 (*.f32 #s(literal 1/6 binary32) u) (-.f32 n1_i n0_i))) #s(literal 1/120 binary32))))) (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 u n0_i)) (fma.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)) u (*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) u) n0_i (*.f32 (*.f32 #s(literal 1/6 binary32) u) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32))))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal 1/2 binary32) u) n0_i (*.f32 (*.f32 #s(literal 1/6 binary32) u) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(- n1_i n0_i)
(-.f32 n1_i n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))) n0_i)
(fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(fma.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))) n0_i)
(fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))
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n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 (*.f32 normAngle u) (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)) n0_i)
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(+ n0_i (* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))))
(fma.f32 (*.f32 normAngle u) (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)) n0_i)
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+ n0_i (* -1 (* n0_i u)))
(-.f32 n0_i (*.f32 u n0_i))
1
#s(literal 1 binary32)
(+ 1 (* -1 u))
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(* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)))
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(- (+ n1_i (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)))) n0_i)
(-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) n1_i) n0_i)
(- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i))))) n0_i)
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(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))))))
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(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))))))
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(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i))))))))))))
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(* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))
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(- (+ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/2 n0_i)))) n0_i)
(-.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) n1_i (*.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) n0_i)) n0_i)
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i)))))
(fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -2 binary32)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32)))
(+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i)))) (* 1/6 (* n1_i (pow normAngle 2)))))
(fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -2 binary32)) (*.f32 (*.f32 normAngle normAngle) n1_i)) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32)))
(- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i))))) n0_i)
(-.f32 (fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -2 binary32)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32))) n0_i)
(- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))))) n0_i)
(-.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) n1_i (fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -2 binary32)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32)))) n0_i)
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u)))
(fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/6 binary32)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))))
(fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/6 binary32)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) n1_i (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))
(- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))
(-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/18 binary32) n0_i (*.f32 #s(literal -1/120 binary32) n0_i)))
(- (+ (* -1/24 n0_i) (* 7/360 n1_i)) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))
(-.f32 (fma.f32 #s(literal 7/360 binary32) n1_i (*.f32 #s(literal -1/24 binary32) n0_i)) (fma.f32 #s(literal -1/18 binary32) n0_i (*.f32 #s(literal -1/120 binary32) n0_i)))
(+ (* -1/6 n0_i) (* 1/2 n0_i))
(*.f32 #s(literal 1/3 binary32) n0_i)
(+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (* 1/2 n0_i)))
(fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))
(+ n0_i (* -3 n0_i))
(*.f32 #s(literal -2 binary32) n0_i)
(+ n0_i (+ (* -3 n0_i) (* -1 n1_i)))
(-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)
(* -7/360 n1_i)
(*.f32 #s(literal -7/360 binary32) n1_i)
(* n1_i (- (+ (* -1/6 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) (* -1/120 (/ n0_i n1_i))) 7/360))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1/18 binary32) n0_i (*.f32 #s(literal -1/120 binary32) n0_i)) n1_i) #s(literal 7/360 binary32)) n1_i)
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(*.f32 (/.f32 (+.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) n1_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i)
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(*.f32 (fma.f32 (neg.f32 (/.f32 n0_i n1_i)) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) (sin.f32 normAngle)) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i n1_i))) n1_i)
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(*.f32 (fma.f32 (neg.f32 (/.f32 n0_i n1_i)) (/.f32 (*.f32 (cos.f32 normAngle) normAngle) (sin.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle))) n1_i)
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i)
(* n1_i (+ 1 (* 1/6 (pow normAngle 2))))
(*.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) n1_i)
(* n1_i (- (+ 1 (+ (* 1/6 (pow normAngle 2)) (/ (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/2 n0_i))) n1_i))) (/ n0_i n1_i)))
(*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (/.f32 n0_i n1_i) #s(literal 1/3 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (/.f32 n0_i n1_i)) n1_i)
(* n1_i (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (* 1/6 (pow normAngle 2)))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) normAngle) normAngle (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -2 binary32)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32))) n1_i)) n1_i)
(* n1_i (- (+ 1 (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (* 1/6 (pow normAngle 2))))) (/ n0_i n1_i)))
(*.f32 (-.f32 (+.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -2 binary32)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32))) n1_i) (fma.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32))) (/.f32 n0_i n1_i)) n1_i)
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))
(*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) n1_i)
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))) n1_i)) (/ (* n0_i (- 1 u)) n1_i)))))
(*.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) normAngle) normAngle (/.f32 (*.f32 (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 normAngle normAngle)) n1_i)) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) n1_i)
(* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i))))
(*.f32 (fma.f32 (/.f32 n0_i n1_i) #s(literal -1/120 binary32) #s(literal 1/120 binary32)) n1_i)
(* 7/360 n1_i)
(*.f32 #s(literal 7/360 binary32) n1_i)
(* n1_i (- (+ 7/360 (* -1/24 (/ n0_i n1_i))) (+ (* -1/6 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) (* -1/120 (/ n0_i n1_i)))))
(*.f32 (+.f32 #s(literal 7/360 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/18 binary32) n0_i (*.f32 #s(literal -1/120 binary32) n0_i))) n1_i)) n1_i)
(* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i))))
(*.f32 (fma.f32 (/.f32 n0_i n1_i) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) n1_i)
(* n1_i (+ 1/6 (+ (* -1/6 (/ n0_i n1_i)) (* 1/2 (/ n0_i n1_i)))))
(*.f32 (fma.f32 (/.f32 n0_i n1_i) #s(literal 1/3 binary32) #s(literal 1/6 binary32)) n1_i)
(* n1_i (- (+ (* -3 (/ n0_i n1_i)) (/ n0_i n1_i)) 1))
(*.f32 (-.f32 (*.f32 #s(literal -2 binary32) (/.f32 n0_i n1_i)) #s(literal 1 binary32)) n1_i)
(* -1 (* n1_i (+ 7/360 (* -1 (/ (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)) n1_i)))))
(*.f32 (-.f32 #s(literal 7/360 binary32) (/.f32 (fma.f32 #s(literal -1/18 binary32) n0_i (*.f32 #s(literal -1/120 binary32) n0_i)) n1_i)) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(*.f32 (neg.f32 (/.f32 (+.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) n1_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(*.f32 (neg.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) (sin.f32 normAngle)) n0_i) n1_i))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(*.f32 (/.f32 (fma.f32 #s(literal -1 binary32) normAngle (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) n1_i)) (sin.f32 normAngle)) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(*.f32 (neg.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) (neg.f32 n1_i))
(* -1 (* n1_i (- (* -1/6 (pow normAngle 2)) 1)))
(*.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (neg.f32 n1_i))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/2 n0_i))) n0_i) n1_i)) (* -1/6 (pow normAngle 2))) 1)))
(*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) normAngle) normAngle (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) n0_i) n0_i) (neg.f32 n1_i))) #s(literal 1 binary32)) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i))))) n1_i)) (* -1/6 (pow normAngle 2)))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) normAngle) normAngle (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -2 binary32)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32))) (neg.f32 n1_i))) (neg.f32 n1_i))
(* -1 (* n1_i (- (+ (* -1 (/ (- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i))))) n0_i) n1_i)) (* -1/6 (pow normAngle 2))) 1)))
(*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) normAngle) normAngle (/.f32 (-.f32 (fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -2 binary32)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32))) n0_i) (neg.f32 n1_i))) #s(literal 1 binary32)) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u)))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 normAngle normAngle) (neg.f32 u)) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) n1_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u))))))))
(*.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/6 binary32)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) n1_i) #s(literal -1 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 normAngle normAngle) (neg.f32 u))) (neg.f32 n1_i))
(* -1 (* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120)))
(*.f32 (-.f32 (*.f32 (/.f32 n0_i n1_i) #s(literal 1/120 binary32)) #s(literal 1/120 binary32)) (neg.f32 n1_i))
(* -1 (* n1_i (- (* -1 (/ (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))) n1_i)) 7/360)))
(*.f32 (-.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/18 binary32) n0_i (*.f32 #s(literal -1/120 binary32) n0_i))) (neg.f32 n1_i)) #s(literal 7/360 binary32)) (neg.f32 n1_i))
(* -1 (* n1_i (- (* 1/6 (/ n0_i n1_i)) 1/6)))
(*.f32 (-.f32 (*.f32 (/.f32 n0_i n1_i) #s(literal 1/6 binary32)) #s(literal 1/6 binary32)) (neg.f32 n1_i))
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) 1/6)))
(*.f32 (-.f32 (*.f32 (/.f32 n0_i n1_i) #s(literal -1/3 binary32)) #s(literal 1/6 binary32)) (neg.f32 n1_i))
(* -1 (* n1_i (+ 1 (* -1 (/ (+ n0_i (* -3 n0_i)) n1_i)))))
(*.f32 (fma.f32 #s(literal 2 binary32) (/.f32 n0_i n1_i) #s(literal 1 binary32)) (neg.f32 n1_i))

rewrite278.0ms (2.5%)

Memory
-19.5MiB live, 437.1MiB allocated; 143ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079714
0116708
1527688
24563688
08260676
Stop Event
iter limit
node limit
iter limit
Counts
26 → 303
Calls
Call 1
Inputs
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
(-.f32 #s(literal 1 binary32) u)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32)))
(+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32))) (-.f32 n1_i n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32))) (-.f32 n1_i n0_i)) u n0_i)))
#s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32))) (-.f32 n1_i n0_i)) u n0_i))
(*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32))
(-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32))))
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))
(-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i))
(*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle))
(*.f32 (*.f32 normAngle normAngle) u)
Outputs
(/.f32 (-.f32 (*.f32 #s(literal 1/14400 binary32) (pow.f32 (-.f32 n1_i n0_i) #s(literal 2 binary32))) (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal 2 binary32))) (-.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))))
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal 3 binary32)) (pow.f32 (neg.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))) #s(literal 3 binary32))) (fma.f32 #s(literal 1/36 binary32) (pow.f32 (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) #s(literal 2 binary32)) (fma.f32 #s(literal 1/14400 binary32) (pow.f32 (-.f32 n1_i n0_i) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (neg.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal 2 binary32)) (*.f32 #s(literal 1/14400 binary32) (pow.f32 (-.f32 n1_i n0_i) #s(literal 2 binary32))))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i)))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/1728000 binary32) (pow.f32 (-.f32 n1_i n0_i) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (pow.f32 (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (-.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))))))))
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal 2 binary32)) (*.f32 #s(literal 1/14400 binary32) (pow.f32 (-.f32 n1_i n0_i) #s(literal 2 binary32)))) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))))
(/.f32 (fma.f32 #s(literal 1/1728000 binary32) (pow.f32 (-.f32 n1_i n0_i) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal 3 binary32))) (fma.f32 #s(literal 1/14400 binary32) (pow.f32 (-.f32 n1_i n0_i) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal 1/120 binary32)) (-.f32 n1_i n0_i)))))
(/.f32 (fma.f32 #s(literal 1/1728000 binary32) (pow.f32 (-.f32 n1_i n0_i) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal 3 binary32))) (fma.f32 #s(literal 1/36 binary32) (pow.f32 (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (-.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))))))
(-.f32 (/.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i)))) (/.f32 (*.f32 #s(literal 1/14400 binary32) (pow.f32 (-.f32 n1_i n0_i) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i)))))
(-.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i)))
(-.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (neg.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))
(-.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))))
(-.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (*.f32 (neg.f32 (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32)))
(fma.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))))
(fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (*.f32 (neg.f32 (neg.f32 (-.f32 n1_i n0_i))) #s(literal 1/120 binary32)))
(fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)))
(fma.f32 (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) #s(literal -1/6 binary32) (*.f32 (neg.f32 (neg.f32 (-.f32 n1_i n0_i))) #s(literal 1/120 binary32)))
(fma.f32 (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)))
(fma.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))))
(+.f32 (/.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal 3 binary32)) (fma.f32 #s(literal 1/36 binary32) (pow.f32 (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (-.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))))))) (/.f32 (*.f32 #s(literal 1/1728000 binary32) (pow.f32 (-.f32 n1_i n0_i) #s(literal 3 binary32))) (fma.f32 #s(literal 1/36 binary32) (pow.f32 (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (-.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))))))))
(+.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 (neg.f32 (neg.f32 (-.f32 n1_i n0_i))) #s(literal 1/120 binary32)))
(+.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)))
(+.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)))) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
(/.f32 (-.f32 (*.f32 n0_i n0_i) (pow.f32 (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)))) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u) #s(literal 2 binary32))) (-.f32 n0_i (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)))) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)))) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u) #s(literal 2 binary32)) (*.f32 n0_i n0_i))) (neg.f32 (-.f32 (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)))) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u) n0_i)))
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(fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (pow.f32 n0_i #s(literal 3 binary32))) (fma.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i) (*.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) (-.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/2 binary32)))))) (/.f32 (*.f32 #s(literal 1/216 binary32) (pow.f32 (-.f32 n1_i n0_i) #s(literal 3 binary32))) (fma.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i) (*.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) (-.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/2 binary32)))))))
(+.f32 (*.f32 n0_i #s(literal 1/2 binary32)) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))
(+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/2 binary32)))
(/.f32 (-.f32 (pow.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) n1_i) #s(literal 2 binary32)) (*.f32 n0_i n0_i)) (-.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) n1_i) n0_i))
(/.f32 (+.f32 (pow.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) n1_i) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) (+.f32 (pow.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) n1_i) #s(literal 2 binary32)) (-.f32 (*.f32 n0_i n0_i) (*.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) n1_i) n0_i))))
(/.f32 (neg.f32 (-.f32 (*.f32 #s(literal 9 binary32) (*.f32 n0_i n0_i)) (pow.f32 (-.f32 n1_i n0_i) #s(literal 2 binary32)))) (neg.f32 (fma.f32 #s(literal -3 binary32) n0_i (-.f32 n1_i n0_i))))
(/.f32 (neg.f32 (-.f32 (*.f32 #s(literal -27 binary32) (pow.f32 n0_i #s(literal 3 binary32))) (pow.f32 (-.f32 n1_i n0_i) #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(literal 9 binary32) (*.f32 n0_i n0_i) (*.f32 (-.f32 n1_i n0_i) (fma.f32 #s(literal -3 binary32) n0_i (-.f32 n1_i n0_i))))))
(/.f32 (-.f32 (*.f32 #s(literal 9 binary32) (*.f32 n0_i n0_i)) (pow.f32 (-.f32 n1_i n0_i) #s(literal 2 binary32))) (fma.f32 #s(literal -3 binary32) n0_i (-.f32 n1_i n0_i)))
(/.f32 (-.f32 (*.f32 #s(literal -27 binary32) (pow.f32 n0_i #s(literal 3 binary32))) (pow.f32 (-.f32 n1_i n0_i) #s(literal 3 binary32))) (fma.f32 #s(literal 9 binary32) (*.f32 n0_i n0_i) (*.f32 (-.f32 n1_i n0_i) (fma.f32 #s(literal -3 binary32) n0_i (-.f32 n1_i n0_i)))))
(-.f32 (/.f32 (*.f32 #s(literal 9 binary32) (*.f32 n0_i n0_i)) (fma.f32 #s(literal -3 binary32) n0_i (-.f32 n1_i n0_i))) (/.f32 (pow.f32 (-.f32 n1_i n0_i) #s(literal 2 binary32)) (fma.f32 #s(literal -3 binary32) n0_i (-.f32 n1_i n0_i))))
(-.f32 (/.f32 (*.f32 #s(literal -27 binary32) (pow.f32 n0_i #s(literal 3 binary32))) (fma.f32 #s(literal 9 binary32) (*.f32 n0_i n0_i) (*.f32 (-.f32 n1_i n0_i) (fma.f32 #s(literal -3 binary32) n0_i (-.f32 n1_i n0_i))))) (/.f32 (pow.f32 (-.f32 n1_i n0_i) #s(literal 3 binary32)) (fma.f32 #s(literal 9 binary32) (*.f32 n0_i n0_i) (*.f32 (-.f32 n1_i n0_i) (fma.f32 #s(literal -3 binary32) n0_i (-.f32 n1_i n0_i))))))
(-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i))
(+.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) n1_i) n0_i)
(+.f32 n0_i (-.f32 (*.f32 #s(literal -3 binary32) n0_i) n1_i))
(*.f32 (*.f32 #s(literal -1/6 binary32) (fabs.f32 normAngle)) (fabs.f32 normAngle))
(*.f32 (*.f32 #s(literal -1/6 binary32) (neg.f32 normAngle)) (neg.f32 normAngle))
(*.f32 (*.f32 normAngle #s(literal -1/6 binary32)) normAngle)
(*.f32 (fabs.f32 normAngle) (*.f32 (fabs.f32 normAngle) #s(literal -1/6 binary32)))
(*.f32 (neg.f32 normAngle) (*.f32 (neg.f32 normAngle) #s(literal -1/6 binary32)))
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))
(*.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32)))
(*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle))
(*.f32 (*.f32 u (fabs.f32 normAngle)) (fabs.f32 normAngle))
(*.f32 (*.f32 u (neg.f32 normAngle)) (neg.f32 normAngle))
(*.f32 (fabs.f32 normAngle) (*.f32 (fabs.f32 normAngle) u))
(*.f32 (neg.f32 normAngle) (*.f32 (neg.f32 normAngle) u))
(*.f32 (*.f32 normAngle normAngle) u)
(*.f32 (*.f32 normAngle u) normAngle)
(*.f32 normAngle (*.f32 normAngle u))
(*.f32 u (*.f32 normAngle normAngle))

eval95.0ms (0.8%)

Memory
12.0MiB live, 211.1MiB allocated; 36ms collecting garbage
Compiler

Compiled 50 085 to 3 517 computations (93% saved)

prune32.0ms (0.3%)

Memory
2.5MiB live, 104.3MiB allocated; 4ms collecting garbage
Pruning

23 alts after pruning (21 fresh and 2 done)

PrunedKeptTotal
New55813571
Fresh6814
Picked325
Done000
Total56723590
Accuracy
100.0%
Counts
590 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.9%
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) #s(approx (* n0_i (sin (* normAngle (- 1 u)))) (*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i))) (sin.f32 normAngle))
77.1%
(/.f32 (fma.f32 n1_i #s(approx (sin (* normAngle u)) (*.f32 (fma.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 u u) normAngle) u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
99.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
99.1%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (*.f32 #s(literal -3 binary32) (-.f32 n0_i (*.f32 n0_i u))) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
99.4%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
99.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
98.7%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (*.f32 #s(literal 1/3 binary32) n0_i)) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
98.6%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
59.4%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) (- n1_i n0_i)) (-.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) n0_i) n0_i))) u n0_i))
82.8%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) (- n1_i n0_i)) (*.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) n1_i))) u n0_i))
82.2%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i (*.f32 n1_i u)))
98.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
99.1%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) n1_i) n0_i)) u) n0_i))
59.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (/.f32 #s(approx (+ (* (/ n1_i n0_i) (sin (* normAngle u))) (sin (* (- 1 u) normAngle))) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) n0_i))
38.5%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
99.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) u) n0_i (*.f32 (*.f32 #s(literal 1/6 binary32) u) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i))))
59.1%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))
7.6%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- 1 u) (neg.f32 u)) n0_i)))
47.9%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i)))
38.8%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))
59.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- 1 u) n0_i) (-.f32 n0_i (*.f32 u n0_i)))))
99.2%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 #s(approx (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (* (* (* (* normAngle normAngle) u) n0_i) -1/2)) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) u n0_i)))
59.5%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (* (* (* (* normAngle normAngle) u) n0_i) -1/2)) (- n1_i n0_i)) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/2 binary32) (fma.f32 #s(literal -1/3 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32))) (neg.f32 n0_i))) u n0_i)))
Compiler

Compiled 2 585 to 1 497 computations (42.1% saved)

simplify169.0ms (1.5%)

Memory
-3.0MiB live, 192.0MiB allocated; 44ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u)))
cost-diff0
(fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
cost-diff0
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
cost-diff2
(-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i))
cost-diff0
(fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))
cost-diff0
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)))
cost-diff0
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)
cost-diff0
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
cost-diff0
(*.f32 n1_i u)
cost-diff0
#s(approx (- 1 u) #s(literal 1 binary32))
cost-diff0
(fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i (*.f32 n1_i u))
cost-diff0
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i (*.f32 n1_i u)))
cost-diff0
(*.f32 u n1_i)
cost-diff0
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i))
cost-diff0
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))
cost-diff0
(fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))
cost-diff0
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)))
cost-diff0
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)
cost-diff0
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087961
0125961
1255941
2679904
32568830
46540830
08055815
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)))
(fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))
(fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))))
#s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i))
(*.f32 #s(literal 7/360 binary32) n1_i)
#s(literal 7/360 binary32)
n1_i
(*.f32 normAngle normAngle)
normAngle
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))
#s(literal 1/2 binary32)
n0_i
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))
#s(literal 1/6 binary32)
(-.f32 n1_i n0_i)
u
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i))
(*.f32 u n1_i)
u
n1_i
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i (*.f32 n1_i u)))
(fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i (*.f32 n1_i u))
#s(approx (- 1 u) #s(literal 1 binary32))
#s(literal 1 binary32)
n0_i
(*.f32 n1_i u)
n1_i
u
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)))
(fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))
#s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i)))
(fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))
#s(literal 1/3 binary32)
n0_i
(*.f32 #s(literal 1/6 binary32) n1_i)
#s(literal 1/6 binary32)
n1_i
(*.f32 normAngle normAngle)
normAngle
(-.f32 n1_i n0_i)
u
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
(*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u)))
#s(literal -1/6 binary32)
#s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))
(*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u)
(-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i))
(fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i))
(fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i))
(-.f32 n1_i n0_i)
n1_i
n0_i
u
(*.f32 #s(literal 3 binary32) n0_i)
#s(literal 3 binary32)
(*.f32 #s(literal -3 binary32) n0_i)
#s(literal -3 binary32)
(*.f32 normAngle normAngle)
normAngle
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
(*.f32 n1_i u)
Outputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)))
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)))
(fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))
(fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))
(fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))))
(fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)))
#s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i))
(*.f32 #s(literal 7/360 binary32) n1_i)
#s(literal 7/360 binary32)
n1_i
(*.f32 normAngle normAngle)
normAngle
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))
(fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))
#s(literal 1/2 binary32)
n0_i
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))
(*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))
#s(literal 1/6 binary32)
(-.f32 n1_i n0_i)
u
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u)))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u))
(*.f32 u n1_i)
(*.f32 n1_i u)
u
n1_i
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i (*.f32 n1_i u)))
(fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i (*.f32 n1_i u))
#s(approx (- 1 u) #s(literal 1 binary32))
#s(literal 1 binary32)
n0_i
(*.f32 n1_i u)
n1_i
u
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)))
(fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))
#s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i)))
(fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))
#s(literal 1/3 binary32)
n0_i
(*.f32 #s(literal 1/6 binary32) n1_i)
#s(literal 1/6 binary32)
n1_i
(*.f32 normAngle normAngle)
normAngle
(-.f32 n1_i n0_i)
u
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) n0_i (*.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u)) n1_i) u)) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
(fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) n0_i (*.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u)) n1_i) u)) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u)))
(*.f32 #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) n0_i (*.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u)) n1_i) u)) #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
#s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))
#s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) n0_i (*.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u)) n1_i) u))
(*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u)
(*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) n0_i (*.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u)) n1_i) u)
(-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i))
(-.f32 (fma.f32 #s(literal -2 binary32) n0_i (*.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u)) n1_i)
(fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i))
(fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i))
(-.f32 n1_i n0_i)
n1_i
n0_i
u
(*.f32 #s(literal 3 binary32) n0_i)
#s(literal 3 binary32)
(*.f32 #s(literal -3 binary32) n0_i)
#s(literal -3 binary32)
(*.f32 normAngle normAngle)
normAngle
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
(*.f32 n1_i u)

localize250.0ms (2.2%)

Memory
3.9MiB live, 233.7MiB allocated; 54ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.15625
(*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u)
accuracy0.217128759768442
(fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i))
accuracy0.31604254138909577
(-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i))
accuracy0.34765625
(*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u)))
accuracy0.10597414404948458
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
accuracy0.21941376953688405
(fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))
accuracy0.3135691678831041
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)))
accuracy0.35546875
(*.f32 #s(literal 1/6 binary32) n1_i)
accuracy0.0
(*.f32 n1_i u)
accuracy0.15625
(fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i (*.f32 n1_i u))
accuracy0.39661663386720636
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i (*.f32 n1_i u)))
accuracy8.759225536365001
#s(approx (- 1 u) #s(literal 1 binary32))
accuracy0.0
(*.f32 u n1_i)
accuracy0.39661663386720636
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))
accuracy19.109791256613185
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i))
accuracy0.33041000976844204
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))
accuracy0.3828125
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))
accuracy0.44921875
(*.f32 #s(literal 7/360 binary32) n1_i)
accuracy16.476732447635126
#s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i))
Samples
168.0ms251×0valid
7.0ms5exit
2.0ms1valid
Compiler

Compiled 583 to 77 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 154.0ms
ival-mult: 75.0ms (48.8% of total)
ival-add: 34.0ms (22.1% of total)
const: 17.0ms (11.1% of total)
ival-sub: 7.0ms (4.6% of total)
ival-sin: 6.0ms (3.9% of total)
ival-pow: 5.0ms (3.3% of total)
adjust: 3.0ms (2% of total)
ival-div: 3.0ms (2% of total)
ival-cos: 2.0ms (1.3% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series87.0ms (0.8%)

Memory
10.9MiB live, 114.4MiB allocated; 12ms collecting garbage
Counts
27 → 227
Calls
Call 1
Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)))
(fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i))
(*.f32 u n1_i)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i (*.f32 n1_i u)))
(fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i (*.f32 n1_i u))
#s(approx (- 1 u) #s(literal 1 binary32))
(*.f32 n1_i u)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)))
(fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))
(-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
(*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u)))
#s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i))
(*.f32 #s(literal 7/360 binary32) n1_i)
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))
(*.f32 #s(literal 1/6 binary32) n1_i)
(fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))
(fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i))
(*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u)
Outputs
(+ (* 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 (* u (- n1_i n0_i)))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(- n1_i n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))))))) n0_i)
(+ (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u))))) (+ (* n0_i (- 1 u)) (* n1_i u)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* normAngle (* u (- n1_i (* n0_i (cos normAngle))))) (sin normAngle))
(* normAngle (+ (/ n0_i normAngle) (/ (* u (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))))
(/ (* normAngle (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))
(* (pow normAngle 4) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))
(* (pow normAngle 4) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (- n1_i n0_i) (pow normAngle 2))) (* 1/2 (/ n0_i (pow normAngle 2))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))
(* (pow normAngle 4) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (- n1_i n0_i) (pow normAngle 2))) (+ (* 1/2 (/ n0_i (pow normAngle 2))) (/ n1_i (pow normAngle 4))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (+ (* 1/120 (- n1_i n0_i)) (/ n0_i (pow normAngle 4))))))
(* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))
(* (pow normAngle 2) (- (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2))))
(* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u)))))
(* (pow normAngle 2) (+ (* -1/6 (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))
(* -1 (/ (* normAngle (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle)))))) (sin normAngle)))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))))
(* -1 (/ (* normAngle (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -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 (* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(* n1_i u)
1
(+ 1 (* -1 u))
(- (+ n0_i (* -3 n0_i)) n1_i)
(- (+ n0_i (+ (* -3 n0_i) (* 3 (* n0_i u)))) n1_i)
(- (+ n0_i (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (- n1_i n0_i)))))) n1_i)
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))))))
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))))))
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i))))))))))))
(* -1/6 (* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))
(* u (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))
(* u (+ (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))
(* -3 n0_i)
(+ (* -3 n0_i) (* 3 (* n0_i u)))
(+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (- n1_i n0_i)))))
(* u (- (+ n0_i (* -3 n0_i)) n1_i))
(* u (- (+ n0_i (+ (* -3 n0_i) (* 3 (* n0_i u)))) n1_i))
(* u (- (+ n0_i (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (- n1_i n0_i)))))) n1_i))
(* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))
(* u (- (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))
(* u (+ n1_i (* -1 n0_i)))
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(* -1 u)
(* u (- (/ 1 u) 1))
(* (pow u 2) (- n1_i n0_i))
(* (pow u 2) (- (+ n1_i (* 3 (/ n0_i u))) n0_i))
(* (pow u 2) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* 3 (/ n0_i u)) (/ n0_i (pow u 2))))) (+ n0_i (/ n1_i (pow u 2)))))
(* -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)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (/ n1_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)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2))))))))
(* -1/6 (* (pow u 3) (+ n1_i (* -1 n0_i))))
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (* -1/6 (+ n1_i (* -1 n0_i)))))
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/6 (/ (- (* -3 n0_i) (+ n1_i (* -1 n0_i))) (pow u 2))))))
(* (pow u 2) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (* 3 (/ n0_i u)))) n0_i))
(* (pow u 3) (- n1_i n0_i))
(* (pow u 3) (- (+ n1_i (* 3 (/ n0_i u))) n0_i))
(* (pow u 3) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* 3 (/ n0_i u)) (/ n0_i (pow u 2))))) (+ n0_i (/ n1_i (pow u 2)))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* u (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle))))) (sin normAngle))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle)))) (sin normAngle))))))
(* -1 (* u (+ n0_i (* -1 n1_i))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(* -1 (* u (- 1 (/ 1 u))))
(* (pow u 2) (- (+ n1_i (* -1 (/ (+ (* -3 n0_i) (* -1 (/ (- (+ n0_i (* -3 n0_i)) n1_i) u))) u))) n0_i))
(* 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) (* -1/6 (* (pow normAngle 2) (- (* 3 n0_i) (+ n0_i (* -1 n1_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)) (* -1/6 (* (pow normAngle 2) (- (* 3 n0_i) (+ n0_i (* -1 n1_i)))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))))))
(* 1/6 (* (pow u 3) (+ n0_i (* -1 n1_i))))
(* -1 (* (pow u 3) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/2 (/ n0_i u)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/2 n0_i) (* 1/6 (/ (- (* 3 n0_i) (+ n0_i (* -1 n1_i))) u))) u)) (* -1/6 (+ n0_i (* -1 n1_i))))))
(* (pow u 2) (- (+ n1_i (* -1 (/ (+ (* -3 n0_i) (* 3 (/ n0_i u))) u))) n0_i))
(* -1 (* (pow u 3) (+ (* -3 (/ n0_i u)) (* -1 (- n1_i n0_i)))))
(* -1 (* (pow u 3) (+ (* -1 (- n1_i n0_i)) (* -1 (/ (- (+ (* -3 (/ n0_i u)) (+ (* 3 n0_i) (/ n0_i u))) (/ n1_i u)) u)))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(+ n1_i (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i))))
(+ n1_i (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) 1)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i)))))
(+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))
(+ n1_i (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))))
(- (* n1_i (pow u 2)) n1_i)
(- (+ (* n0_i (- (* u (+ 3 (* -1 u))) 2)) (* n1_i (pow u 2))) n1_i)
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u))
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (+ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) (* n1_i u)))
(* -1/6 (- (* n1_i (pow u 3)) (* n1_i u)))
(+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* -1/6 (- (* n1_i (pow u 3)) (* n1_i u))))
(* -1 (+ (* -1/36 n1_i) (* 1/120 n1_i)))
(- (* 1/45 n0_i) (+ (* -1/36 n1_i) (* 1/120 n1_i)))
(* 1/6 n1_i)
(+ (* -1/6 n0_i) (* 1/6 n1_i))
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(* n1_i (pow u 2))
(+ (* n0_i (- (* u (+ 3 (* -1 u))) 3)) (* n1_i (pow u 2)))
(* u (- (* n1_i (pow u 2)) n1_i))
(+ (* n0_i (* u (- (* u (+ 3 (* -1 u))) 2))) (* u (- (* n1_i (pow u 2)) n1_i)))
(/ (* 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 (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(* n0_i (- (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) 1))
(* n0_i (- (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i))) n0_i))) 1))
(* n0_i (- 1 u))
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(* n0_i (- (* 1/3 (pow normAngle 2)) 1))
(* n0_i (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/3 (pow normAngle 2)) (/ n1_i n0_i))) 1))
(* n0_i (- (* u (+ 3 (* -1 u))) 2))
(* n0_i (- (+ (* u (+ 3 (* -1 u))) (/ (* n1_i (pow u 2)) n0_i)) (+ 2 (/ n1_i n0_i))))
(* 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))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u))) n0_i)) (/ (* n1_i u) n0_i)))) u))
(* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))
(* n0_i (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i))))
(* 1/45 n0_i)
(* n0_i (+ 1/45 (* -1 (/ (+ (* -1/36 n1_i) (* 1/120 n1_i)) n0_i))))
(* -1/6 n0_i)
(* n0_i (- (* 1/6 (/ n1_i n0_i)) 1/6))
(* 1/3 n0_i)
(* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))
(* n0_i (- (* u (+ 3 (* -1 u))) 3))
(* n0_i (- (+ (* u (+ 3 (* -1 u))) (/ (* n1_i (pow u 2)) n0_i)) 3))
(* n0_i (* u (- (* u (+ 3 (* -1 u))) 2)))
(* n0_i (+ (* u (- (* u (+ 3 (* -1 u))) 2)) (/ (* u (- (* n1_i (pow u 2)) n1_i)) n0_i)))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(* -1 (* n0_i (+ 1 (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3)))))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i)))) n0_i)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ 1 (* -1/3 (pow normAngle 2)))))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) n0_i)) (* -1/3 (pow normAngle 2))))))
(* -1 (* n0_i (+ 2 (* u (- u 3)))))
(* -1 (* n0_i (+ 2 (+ (* -1 (/ (- (* n1_i (pow u 2)) n1_i) n0_i)) (* u (- u 3))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))))))))
(* 1/6 (* n0_i (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))))
(* -1 (* n0_i (+ (* -1/6 (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))) (* 1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)))))
(* -1 (* n0_i (- (+ (* -1/36 (/ n1_i n0_i)) (* 1/120 (/ n1_i n0_i))) 1/45)))
(* -1 (* n0_i (+ 1/6 (* -1/6 (/ n1_i n0_i)))))
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))
(* -1 (* n0_i (+ 3 (* u (- u 3)))))
(* -1 (* n0_i (+ 3 (+ (* -1 (/ (* n1_i (pow u 2)) n0_i)) (* u (- u 3))))))
(* -1 (* n0_i (* u (+ 2 (* u (- u 3))))))
(* -1 (* n0_i (+ (* -1 (/ (* u (- (* n1_i (pow u 2)) n1_i)) n0_i)) (* u (+ 2 (* u (- u 3)))))))
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(- (* (pow normAngle 2) (+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))))))) n0_i)
(- (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))))))) n0_i)
(- (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/2 n0_i))) n0_i)
(- (+ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/2 n0_i)))) n0_i)
(+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))
(+ n0_i (+ (* -3 n0_i) (+ (* n1_i (- (pow u 2) 1)) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))))
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u)))
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))))
(* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))
(+ (* -1/6 (* n1_i (- (pow u 3) u))) (* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))))
(- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))
(- (+ (* -1/24 n0_i) (* 7/360 n1_i)) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))
(* 7/360 n1_i)
(+ (* -1/6 n0_i) (* 1/2 n0_i))
(+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (* 1/2 n0_i)))
(+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))
(+ (* -3 n0_i) (+ (* n1_i (pow u 2)) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))
(* u (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))))
(+ (* n1_i (* u (- (pow u 2) 1))) (* u (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))
(* n1_i (- (+ 1 (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))))))) n1_i))) (/ n0_i n1_i)))
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(* n1_i (+ 1 (* 1/6 (pow normAngle 2))))
(* n1_i (- (+ 1 (+ (* 1/6 (pow normAngle 2)) (/ (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/2 n0_i))) n1_i))) (/ n0_i n1_i)))
(* n1_i (- (pow u 2) 1))
(* n1_i (- (+ (* -3 (/ n0_i n1_i)) (+ (/ n0_i n1_i) (+ (/ (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))) n1_i) (pow u 2)))) 1))
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))) n1_i)) (/ (* n0_i (- 1 u)) n1_i)))))
(* -1/6 (* n1_i (- (pow u 3) u)))
(* n1_i (+ (* -1/6 (- (pow u 3) u)) (* -1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i))))
(* n1_i (- (+ 7/360 (* -1/24 (/ n0_i n1_i))) (+ (* -1/6 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) (* -1/120 (/ n0_i n1_i)))))
(* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i))))
(* n1_i (+ 1/6 (+ (* -1/6 (/ n0_i n1_i)) (* 1/2 (/ n0_i n1_i)))))
(* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))
(* n1_i (+ (* -3 (/ n0_i n1_i)) (+ (/ (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))) n1_i) (pow u 2))))
(* n1_i (* u (- (pow u 2) 1)))
(* n1_i (+ (* u (- (pow u 2) 1)) (/ (* u (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))) n1_i)))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(* -1 (* n1_i (- (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)) 1)))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* (pow normAngle 2) (+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))))))) n0_i) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))) 1)))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(* -1 (* n1_i (- (* -1/6 (pow normAngle 2)) 1)))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/2 n0_i))) n0_i) n1_i)) (* -1/6 (pow normAngle 2))) 1)))
(* -1 (* n1_i (+ 1 (* -1 (pow u 2)))))
(* -1 (* n1_i (+ 1 (+ (* -1 (/ (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))) n1_i)) (* -1 (pow u 2))))))
(* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u)))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) n1_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u))))))))
(* 1/6 (* n1_i (- (* -1 (pow u 3)) (* -1 u))))
(* -1 (* n1_i (+ (* -1/6 (- (* -1 (pow u 3)) (* -1 u))) (* 1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)))))
(* -1 (* n1_i (- (* -1 (/ (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))) n1_i)) 7/360)))
(* -1 (* n1_i (- (* 1/6 (/ n0_i n1_i)) 1/6)))
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) 1/6)))
(* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))
(* -1 (* n1_i (+ (* -1 (/ (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))) n1_i)) (* -1 (pow u 2)))))
(* -1 (* n1_i (* u (+ 1 (* -1 (pow u 2))))))
(* -1 (* n1_i (+ (* -1 (/ (* u (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))) n1_i)) (* u (+ 1 (* -1 (pow u 2)))))))
Calls

12 calls:

TimeVariablePointExpression
18.0ms
n0_i
@0
((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (+ (* (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i)))) (* normAngle normAngle)) (- n1_i n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* u n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (- 1 u) (* n1_i u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) (- n1_i n0_i)) (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* 7/360 n1_i) (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* 1/6 n1_i) (+ (* 1/3 n0_i) (* 1/6 n1_i)) (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (* (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) u))
16.0ms
normAngle
@-inf
((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (+ (* (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i)))) (* normAngle normAngle)) (- n1_i n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* u n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (- 1 u) (* n1_i u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) (- n1_i n0_i)) (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* 7/360 n1_i) (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* 1/6 n1_i) (+ (* 1/3 n0_i) (* 1/6 n1_i)) (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (* (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) u))
7.0ms
n1_i
@-inf
((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (+ (* (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i)))) (* normAngle normAngle)) (- n1_i n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* u n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (- 1 u) (* n1_i u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) (- n1_i n0_i)) (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* 7/360 n1_i) (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* 1/6 n1_i) (+ (* 1/3 n0_i) (* 1/6 n1_i)) (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (* (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) u))
6.0ms
n1_i
@inf
((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (+ (* (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i)))) (* normAngle normAngle)) (- n1_i n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* u n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (- 1 u) (* n1_i u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) (- n1_i n0_i)) (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* 7/360 n1_i) (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* 1/6 n1_i) (+ (* 1/3 n0_i) (* 1/6 n1_i)) (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (* (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) u))
6.0ms
n0_i
@-inf
((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (+ (* (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i)))) (* normAngle normAngle)) (- n1_i n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* u n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (- 1 u) (* n1_i u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) (- n1_i n0_i)) (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* 7/360 n1_i) (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* 1/6 n1_i) (+ (* 1/3 n0_i) (* 1/6 n1_i)) (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (* (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) u))

simplify271.0ms (2.4%)

Memory
-22.3MiB live, 166.4MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09914793
134944561
082594289
Stop Event
iter limit
node limit
Counts
227 → 226
Calls
Call 1
Inputs
(+ (* 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 (* u (- n1_i n0_i)))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(- n1_i n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))))))) n0_i)
(+ (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u))))) (+ (* n0_i (- 1 u)) (* n1_i u)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* normAngle (* u (- n1_i (* n0_i (cos normAngle))))) (sin normAngle))
(* normAngle (+ (/ n0_i normAngle) (/ (* u (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))))
(/ (* normAngle (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))
(* (pow normAngle 4) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))
(* (pow normAngle 4) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (- n1_i n0_i) (pow normAngle 2))) (* 1/2 (/ n0_i (pow normAngle 2))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))
(* (pow normAngle 4) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (- n1_i n0_i) (pow normAngle 2))) (+ (* 1/2 (/ n0_i (pow normAngle 2))) (/ n1_i (pow normAngle 4))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (+ (* 1/120 (- n1_i n0_i)) (/ n0_i (pow normAngle 4))))))
(* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))
(* (pow normAngle 2) (- (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2))))
(* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u)))))
(* (pow normAngle 2) (+ (* -1/6 (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))
(* -1 (/ (* normAngle (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle)))))) (sin normAngle)))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))))
(* -1 (/ (* normAngle (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -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 (* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(* n1_i u)
1
(+ 1 (* -1 u))
(- (+ n0_i (* -3 n0_i)) n1_i)
(- (+ n0_i (+ (* -3 n0_i) (* 3 (* n0_i u)))) n1_i)
(- (+ n0_i (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (- n1_i n0_i)))))) n1_i)
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))))))
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))))))
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i))))))))))))
(* -1/6 (* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))
(* u (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))
(* u (+ (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))
(* -3 n0_i)
(+ (* -3 n0_i) (* 3 (* n0_i u)))
(+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (- n1_i n0_i)))))
(* u (- (+ n0_i (* -3 n0_i)) n1_i))
(* u (- (+ n0_i (+ (* -3 n0_i) (* 3 (* n0_i u)))) n1_i))
(* u (- (+ n0_i (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (- n1_i n0_i)))))) n1_i))
(* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))
(* u (- (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))
(* u (+ n1_i (* -1 n0_i)))
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(* -1 u)
(* u (- (/ 1 u) 1))
(* (pow u 2) (- n1_i n0_i))
(* (pow u 2) (- (+ n1_i (* 3 (/ n0_i u))) n0_i))
(* (pow u 2) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* 3 (/ n0_i u)) (/ n0_i (pow u 2))))) (+ n0_i (/ n1_i (pow u 2)))))
(* -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)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (/ n1_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)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2))))))))
(* -1/6 (* (pow u 3) (+ n1_i (* -1 n0_i))))
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (* -1/6 (+ n1_i (* -1 n0_i)))))
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/6 (/ (- (* -3 n0_i) (+ n1_i (* -1 n0_i))) (pow u 2))))))
(* (pow u 2) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (* 3 (/ n0_i u)))) n0_i))
(* (pow u 3) (- n1_i n0_i))
(* (pow u 3) (- (+ n1_i (* 3 (/ n0_i u))) n0_i))
(* (pow u 3) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* 3 (/ n0_i u)) (/ n0_i (pow u 2))))) (+ n0_i (/ n1_i (pow u 2)))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* u (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle))))) (sin normAngle))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle)))) (sin normAngle))))))
(* -1 (* u (+ n0_i (* -1 n1_i))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(* -1 (* u (- 1 (/ 1 u))))
(* (pow u 2) (- (+ n1_i (* -1 (/ (+ (* -3 n0_i) (* -1 (/ (- (+ n0_i (* -3 n0_i)) n1_i) u))) u))) n0_i))
(* 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) (* -1/6 (* (pow normAngle 2) (- (* 3 n0_i) (+ n0_i (* -1 n1_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)) (* -1/6 (* (pow normAngle 2) (- (* 3 n0_i) (+ n0_i (* -1 n1_i)))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))))))
(* 1/6 (* (pow u 3) (+ n0_i (* -1 n1_i))))
(* -1 (* (pow u 3) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/2 (/ n0_i u)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/2 n0_i) (* 1/6 (/ (- (* 3 n0_i) (+ n0_i (* -1 n1_i))) u))) u)) (* -1/6 (+ n0_i (* -1 n1_i))))))
(* (pow u 2) (- (+ n1_i (* -1 (/ (+ (* -3 n0_i) (* 3 (/ n0_i u))) u))) n0_i))
(* -1 (* (pow u 3) (+ (* -3 (/ n0_i u)) (* -1 (- n1_i n0_i)))))
(* -1 (* (pow u 3) (+ (* -1 (- n1_i n0_i)) (* -1 (/ (- (+ (* -3 (/ n0_i u)) (+ (* 3 n0_i) (/ n0_i u))) (/ n1_i u)) u)))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(+ n1_i (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i))))
(+ n1_i (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) 1)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i)))))
(+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))
(+ n1_i (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))))
(- (* n1_i (pow u 2)) n1_i)
(- (+ (* n0_i (- (* u (+ 3 (* -1 u))) 2)) (* n1_i (pow u 2))) n1_i)
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u))
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (+ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) (* n1_i u)))
(* -1/6 (- (* n1_i (pow u 3)) (* n1_i u)))
(+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* -1/6 (- (* n1_i (pow u 3)) (* n1_i u))))
(* -1 (+ (* -1/36 n1_i) (* 1/120 n1_i)))
(- (* 1/45 n0_i) (+ (* -1/36 n1_i) (* 1/120 n1_i)))
(* 1/6 n1_i)
(+ (* -1/6 n0_i) (* 1/6 n1_i))
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(* n1_i (pow u 2))
(+ (* n0_i (- (* u (+ 3 (* -1 u))) 3)) (* n1_i (pow u 2)))
(* u (- (* n1_i (pow u 2)) n1_i))
(+ (* n0_i (* u (- (* u (+ 3 (* -1 u))) 2))) (* u (- (* n1_i (pow u 2)) n1_i)))
(/ (* 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 (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(* n0_i (- (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) 1))
(* n0_i (- (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i))) n0_i))) 1))
(* n0_i (- 1 u))
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(* n0_i (- (* 1/3 (pow normAngle 2)) 1))
(* n0_i (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/3 (pow normAngle 2)) (/ n1_i n0_i))) 1))
(* n0_i (- (* u (+ 3 (* -1 u))) 2))
(* n0_i (- (+ (* u (+ 3 (* -1 u))) (/ (* n1_i (pow u 2)) n0_i)) (+ 2 (/ n1_i n0_i))))
(* 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))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u))) n0_i)) (/ (* n1_i u) n0_i)))) u))
(* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))
(* n0_i (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i))))
(* 1/45 n0_i)
(* n0_i (+ 1/45 (* -1 (/ (+ (* -1/36 n1_i) (* 1/120 n1_i)) n0_i))))
(* -1/6 n0_i)
(* n0_i (- (* 1/6 (/ n1_i n0_i)) 1/6))
(* 1/3 n0_i)
(* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))
(* n0_i (- (* u (+ 3 (* -1 u))) 3))
(* n0_i (- (+ (* u (+ 3 (* -1 u))) (/ (* n1_i (pow u 2)) n0_i)) 3))
(* n0_i (* u (- (* u (+ 3 (* -1 u))) 2)))
(* n0_i (+ (* u (- (* u (+ 3 (* -1 u))) 2)) (/ (* u (- (* n1_i (pow u 2)) n1_i)) n0_i)))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(* -1 (* n0_i (+ 1 (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3)))))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i)))) n0_i)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ 1 (* -1/3 (pow normAngle 2)))))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) n0_i)) (* -1/3 (pow normAngle 2))))))
(* -1 (* n0_i (+ 2 (* u (- u 3)))))
(* -1 (* n0_i (+ 2 (+ (* -1 (/ (- (* n1_i (pow u 2)) n1_i) n0_i)) (* u (- u 3))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))))))))
(* 1/6 (* n0_i (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))))
(* -1 (* n0_i (+ (* -1/6 (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))) (* 1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)))))
(* -1 (* n0_i (- (+ (* -1/36 (/ n1_i n0_i)) (* 1/120 (/ n1_i n0_i))) 1/45)))
(* -1 (* n0_i (+ 1/6 (* -1/6 (/ n1_i n0_i)))))
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))
(* -1 (* n0_i (+ 3 (* u (- u 3)))))
(* -1 (* n0_i (+ 3 (+ (* -1 (/ (* n1_i (pow u 2)) n0_i)) (* u (- u 3))))))
(* -1 (* n0_i (* u (+ 2 (* u (- u 3))))))
(* -1 (* n0_i (+ (* -1 (/ (* u (- (* n1_i (pow u 2)) n1_i)) n0_i)) (* u (+ 2 (* u (- u 3)))))))
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(- (* (pow normAngle 2) (+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))))))) n0_i)
(- (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))))))) n0_i)
(- (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/2 n0_i))) n0_i)
(- (+ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/2 n0_i)))) n0_i)
(+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))
(+ n0_i (+ (* -3 n0_i) (+ (* n1_i (- (pow u 2) 1)) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))))
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u)))
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))))
(* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))
(+ (* -1/6 (* n1_i (- (pow u 3) u))) (* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))))
(- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))
(- (+ (* -1/24 n0_i) (* 7/360 n1_i)) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))
(* 7/360 n1_i)
(+ (* -1/6 n0_i) (* 1/2 n0_i))
(+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (* 1/2 n0_i)))
(+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))
(+ (* -3 n0_i) (+ (* n1_i (pow u 2)) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))
(* u (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))))
(+ (* n1_i (* u (- (pow u 2) 1))) (* u (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))
(* n1_i (- (+ 1 (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))))))) n1_i))) (/ n0_i n1_i)))
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(* n1_i (+ 1 (* 1/6 (pow normAngle 2))))
(* n1_i (- (+ 1 (+ (* 1/6 (pow normAngle 2)) (/ (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/2 n0_i))) n1_i))) (/ n0_i n1_i)))
(* n1_i (- (pow u 2) 1))
(* n1_i (- (+ (* -3 (/ n0_i n1_i)) (+ (/ n0_i n1_i) (+ (/ (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))) n1_i) (pow u 2)))) 1))
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))) n1_i)) (/ (* n0_i (- 1 u)) n1_i)))))
(* -1/6 (* n1_i (- (pow u 3) u)))
(* n1_i (+ (* -1/6 (- (pow u 3) u)) (* -1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i))))
(* n1_i (- (+ 7/360 (* -1/24 (/ n0_i n1_i))) (+ (* -1/6 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) (* -1/120 (/ n0_i n1_i)))))
(* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i))))
(* n1_i (+ 1/6 (+ (* -1/6 (/ n0_i n1_i)) (* 1/2 (/ n0_i n1_i)))))
(* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))
(* n1_i (+ (* -3 (/ n0_i n1_i)) (+ (/ (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))) n1_i) (pow u 2))))
(* n1_i (* u (- (pow u 2) 1)))
(* n1_i (+ (* u (- (pow u 2) 1)) (/ (* u (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))) n1_i)))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(* -1 (* n1_i (- (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)) 1)))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* (pow normAngle 2) (+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))))))) n0_i) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))) 1)))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(* -1 (* n1_i (- (* -1/6 (pow normAngle 2)) 1)))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/2 n0_i))) n0_i) n1_i)) (* -1/6 (pow normAngle 2))) 1)))
(* -1 (* n1_i (+ 1 (* -1 (pow u 2)))))
(* -1 (* n1_i (+ 1 (+ (* -1 (/ (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))) n1_i)) (* -1 (pow u 2))))))
(* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u)))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) n1_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u))))))))
(* 1/6 (* n1_i (- (* -1 (pow u 3)) (* -1 u))))
(* -1 (* n1_i (+ (* -1/6 (- (* -1 (pow u 3)) (* -1 u))) (* 1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)))))
(* -1 (* n1_i (- (* -1 (/ (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))) n1_i)) 7/360)))
(* -1 (* n1_i (- (* 1/6 (/ n0_i n1_i)) 1/6)))
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) 1/6)))
(* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))
(* -1 (* n1_i (+ (* -1 (/ (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))) n1_i)) (* -1 (pow u 2)))))
(* -1 (* n1_i (* u (+ 1 (* -1 (pow u 2))))))
(* -1 (* n1_i (+ (* -1 (/ (* u (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))) n1_i)) (* u (+ 1 (* -1 (pow u 2)))))))
Outputs
(+ (* n0_i (- 1 u)) (* n1_i u))
(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 (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 (*.f32 (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal -1/6 binary32)) (*.f32 normAngle normAngle) (*.f32 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)))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (*.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) (*.f32 normAngle normAngle))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (*.f32 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)))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (*.f32 (-.f32 (fma.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)) (*.f32 (-.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 u #s(literal 7 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i))) (fma.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32)))) (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i u) #s(literal 1/120 binary32))))) (fma.f32 #s(literal -1/5040 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))))))))) (*.f32 normAngle normAngle))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) (*.f32 normAngle normAngle))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (*.f32 n1_i u)))
(+ n0_i (* u (- n1_i n0_i)))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))
(+.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (*.f32 (fma.f32 (*.f32 n0_i u) #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) (*.f32 normAngle normAngle)))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(+.f32 (fma.f32 (fma.f32 (*.f32 n0_i u) #s(literal 1/2 binary32) (fma.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32)) (fma.f32 (fma.f32 (*.f32 n0_i u) #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 n1_i n0_i) u)) n0_i)
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(+.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (*.f32 (fma.f32 (*.f32 n0_i u) #s(literal 1/2 binary32) (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n0_i u)) (fma.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32)) (fma.f32 (fma.f32 (*.f32 n0_i u) #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 n0_i u) #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (fma.f32 (*.f32 n0_i u) #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle)))
(- n1_i n0_i)
(-.f32 n1_i n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))) n0_i)
(-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) n1_i) n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal 1/120 binary32) (*.f32 #s(literal -1/5040 binary32) (-.f32 n1_i n0_i))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) n0_i)) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) n1_i) n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))) n0_i)
(-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) n1_i) n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))))))) n0_i)
(-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i)
(+ (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u))))) (+ (* n0_i (- 1 u)) (* n1_i u)))
(fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))
(/ (* normAngle (* u (- n1_i (* n0_i (cos normAngle))))) (sin normAngle))
(/.f32 (*.f32 (*.f32 normAngle u) (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i))) (sin.f32 normAngle))
(* normAngle (+ (/ n0_i normAngle) (/ (* u (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))))
(*.f32 (fma.f32 u (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)) (/.f32 n0_i normAngle)) normAngle)
(/ (* normAngle (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))
(*.f32 normAngle (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)))
(* (pow normAngle 4) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)))))
(* (pow normAngle 4) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (- n1_i n0_i) (pow normAngle 2))) (* 1/2 (/ n0_i (pow normAngle 2))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))
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(* (pow normAngle 4) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (- n1_i n0_i) (pow normAngle 2))) (+ (* 1/2 (/ n0_i (pow normAngle 2))) (/ n1_i (pow normAngle 4))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (+ (* 1/120 (- n1_i n0_i)) (/ n0_i (pow normAngle 4))))))
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(* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))
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(* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u)))))
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(* (pow normAngle 2) (+ (* -1/6 (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))
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(* -1 (/ (* normAngle (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle)))))) (sin normAngle)))
(/.f32 (*.f32 (*.f32 normAngle u) (fma.f32 #s(literal -1 binary32) n1_i (*.f32 (cos.f32 normAngle) n0_i))) (neg.f32 (sin.f32 normAngle)))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))))
(*.f32 (neg.f32 normAngle) (fma.f32 u (/.f32 (fma.f32 #s(literal -1 binary32) n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)) (/.f32 (neg.f32 n0_i) normAngle)))
(* -1 (/ (* normAngle (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))
(*.f32 (neg.f32 normAngle) (/.f32 (fma.f32 #s(literal -1 binary32) n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u 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 (+.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32))) u 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 (+.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) (*.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 3 binary32))) (cos.f32 normAngle)) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i))) (sin.f32 normAngle)) u (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u)) u n0_i)
(+ n0_i (* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))))
(fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i)
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(* n1_i u)
(*.f32 n1_i u)
1
#s(literal 1 binary32)
(+ 1 (* -1 u))
(-.f32 #s(literal 1 binary32) u)
(- (+ n0_i (* -3 n0_i)) n1_i)
(-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)
(- (+ n0_i (+ (* -3 n0_i) (* 3 (* n0_i u)))) n1_i)
(-.f32 (fma.f32 #s(literal -2 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i)
(- (+ n0_i (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (- n1_i n0_i)))))) n1_i)
(-.f32 (fma.f32 #s(literal -2 binary32) n0_i (*.f32 (fma.f32 #s(literal 3 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) u)) u)) n1_i)
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))))))
(fma.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)))) u n0_i)
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))))))
(fma.f32 (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32)))) u n0_i)
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i))))))))))))
(fma.f32 (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u))) u n0_i)
(* -1/6 (* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))
(*.f32 (*.f32 #s(literal -1/6 binary32) u) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)))
(* u (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))) u)
(* u (+ (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/6 binary32))) u)) u)
(* -3 n0_i)
(*.f32 #s(literal -3 binary32) n0_i)
(+ (* -3 n0_i) (* 3 (* n0_i u)))
(*.f32 #s(literal -3 binary32) (-.f32 n0_i (*.f32 n0_i u)))
(+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (- n1_i n0_i)))))
(fma.f32 (fma.f32 #s(literal 3 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) u)) u (*.f32 #s(literal -3 binary32) n0_i))
(* u (- (+ n0_i (* -3 n0_i)) n1_i))
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(* u (- (+ n0_i (+ (* -3 n0_i) (* 3 (* n0_i u)))) n1_i))
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(* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))
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(* u (+ n1_i (* -1 n0_i)))
(*.f32 (-.f32 n1_i n0_i) u)
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
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(* -1 u)
(neg.f32 u)
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(* (pow u 2) (- n1_i n0_i))
(*.f32 (*.f32 u u) (-.f32 n1_i n0_i))
(* (pow u 2) (- (+ n1_i (* 3 (/ n0_i u))) n0_i))
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(*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 (pow.f32 u #s(literal 3 binary32)) (-.f32 n1_i n0_i)))
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(* (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)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (/ n1_i (pow u 2)))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1 binary32) u) (/.f32 n0_i u) (fma.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u) #s(literal -1/2 binary32) (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 n1_i n0_i) (/.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) n1_i) (*.f32 u u))))) (pow.f32 u #s(literal 3 binary32)))
(* (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)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2))))))))
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(* -1/6 (* (pow u 3) (+ n1_i (* -1 n0_i))))
(*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (-.f32 n1_i n0_i))
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (* -1/6 (+ n1_i (* -1 n0_i)))))
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(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/6 (/ (- (* -3 n0_i) (+ n1_i (* -1 n0_i))) (pow u 2))))))
(*.f32 (fma.f32 (/.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (/.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (*.f32 u u)) (-.f32 n1_i n0_i)))) (pow.f32 u #s(literal 3 binary32)))
(* (pow u 2) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (* 3 (/ n0_i u)))) n0_i))
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(*.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u)
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(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -7/360 binary32) (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) (neg.f32 n1_i))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* (pow normAngle 2) (+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))))))) n0_i) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))) 1)))
(*.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal -7/360 binary32) (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) (/.f32 (-.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/120 binary32) n0_i (*.f32 (*.f32 #s(literal 1/3 binary32) n0_i) #s(literal -1/6 binary32)))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle)) n0_i) (neg.f32 n1_i))) #s(literal 1 binary32)) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(*.f32 (neg.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) (neg.f32 n1_i))
(* -1 (* n1_i (- (* -1/6 (pow normAngle 2)) 1)))
(*.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (neg.f32 n1_i))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/2 n0_i))) n0_i) n1_i)) (* -1/6 (pow normAngle 2))) 1)))
(*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 normAngle normAngle)) n0_i) (neg.f32 n1_i))) #s(literal 1 binary32)) (neg.f32 n1_i))
(* -1 (* n1_i (+ 1 (* -1 (pow u 2)))))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (neg.f32 n1_i))
(* -1 (* n1_i (+ 1 (+ (* -1 (/ (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))) n1_i)) (* -1 (pow u 2))))))
(neg.f32 (fma.f32 (neg.f32 (fma.f32 u u (/.f32 (fma.f32 #s(literal -2 binary32) n0_i (*.f32 (fma.f32 (neg.f32 n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u)) n1_i))) n1_i n1_i))
(* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u)))))))
(*.f32 (fma.f32 (*.f32 (-.f32 u (pow.f32 u #s(literal 3 binary32))) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (neg.f32 u)) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) n1_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u))))))))
(*.f32 (fma.f32 #s(literal -1 binary32) u (fma.f32 (*.f32 (-.f32 u (pow.f32 u #s(literal 3 binary32))) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (/.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (neg.f32 n1_i)))) (neg.f32 n1_i))
(* 1/6 (* n1_i (- (* -1 (pow u 3)) (* -1 u))))
(*.f32 (*.f32 (-.f32 u (pow.f32 u #s(literal 3 binary32))) n1_i) #s(literal 1/6 binary32))
(* -1 (* n1_i (+ (* -1/6 (- (* -1 (pow u 3)) (* -1 u))) (* 1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)))))
(*.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (-.f32 u (pow.f32 u #s(literal 3 binary32))) (/.f32 (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) n1_i))) (neg.f32 n1_i))
(* -1 (* n1_i (- (* -1 (/ (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))) n1_i)) 7/360)))
(*.f32 (-.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/120 binary32) n0_i (*.f32 (*.f32 #s(literal 1/3 binary32) n0_i) #s(literal -1/6 binary32)))) (neg.f32 n1_i)) #s(literal 7/360 binary32)) (neg.f32 n1_i))
(* -1 (* n1_i (- (* 1/6 (/ n0_i n1_i)) 1/6)))
(*.f32 (-.f32 (*.f32 (/.f32 n0_i n1_i) #s(literal 1/6 binary32)) #s(literal 1/6 binary32)) (neg.f32 n1_i))
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) 1/6)))
(*.f32 (-.f32 (*.f32 (/.f32 n0_i n1_i) #s(literal -1/3 binary32)) #s(literal 1/6 binary32)) (neg.f32 n1_i))
(* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))
(*.f32 (-.f32 (*.f32 (/.f32 n0_i n1_i) #s(literal -1/3 binary32)) #s(literal 1/6 binary32)) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))) n1_i)) (* -1 (pow u 2)))))
(*.f32 (neg.f32 (fma.f32 u u (/.f32 (fma.f32 (fma.f32 (neg.f32 n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) n1_i))) (neg.f32 n1_i))
(* -1 (* n1_i (* u (+ 1 (* -1 (pow u 2))))))
(*.f32 (-.f32 u (pow.f32 u #s(literal 3 binary32))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ (* u (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))) n1_i)) (* u (+ 1 (* -1 (pow u 2)))))))
(*.f32 (fma.f32 (neg.f32 u) (/.f32 (fma.f32 #s(literal -2 binary32) n0_i (*.f32 (fma.f32 (neg.f32 n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u)) n1_i) (-.f32 u (pow.f32 u #s(literal 3 binary32)))) (neg.f32 n1_i))

rewrite213.0ms (1.9%)

Memory
35.8MiB live, 162.0MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087795
0125795
1514775
24351775
08123762
Stop Event
iter limit
node limit
iter limit
Counts
27 → 266
Calls
Call 1
Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)))
(fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i))
(*.f32 u n1_i)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i (*.f32 n1_i u)))
(fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i (*.f32 n1_i u))
#s(approx (- 1 u) #s(literal 1 binary32))
(*.f32 n1_i u)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)))
(fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))
(-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
(*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u)))
#s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i))
(*.f32 #s(literal 7/360 binary32) n1_i)
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))
(*.f32 #s(literal 1/6 binary32) n1_i)
(fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))
(fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i))
(*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u)
Outputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
(/.f32 (-.f32 (*.f32 n0_i n0_i) (pow.f32 (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u) #s(literal 2 binary32))) (-.f32 n0_i (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u) #s(literal 2 binary32)) (*.f32 n0_i n0_i))) (neg.f32 (-.f32 (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u) n0_i)))
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(fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))
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(*.f32 #s(literal 1/6 binary32) n1_i)
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(-.f32 (/.f32 (pow.f32 (*.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u) #s(literal 2 binary32)) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal 3 binary32) n0_i))) (/.f32 (pow.f32 (*.f32 #s(literal -3 binary32) n0_i) #s(literal 2 binary32)) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal 3 binary32) n0_i))))
(-.f32 (*.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u) (*.f32 (neg.f32 n0_i) #s(literal -3 binary32)))
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(+.f32 (*.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u) (*.f32 (neg.f32 n0_i) #s(literal 3 binary32)))
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(+.f32 (*.f32 #s(literal -3 binary32) n0_i) (*.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u))
(*.f32 (-.f32 (*.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u) (fma.f32 #s(literal 3 binary32) n0_i (-.f32 n1_i n0_i))) u)
(*.f32 u (-.f32 (*.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u) (fma.f32 #s(literal 3 binary32) n0_i (-.f32 n1_i n0_i))))
(/.f32 (*.f32 (-.f32 (pow.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) #s(literal 2 binary32)) (pow.f32 (-.f32 n1_i n0_i) #s(literal 2 binary32))) u) (fma.f32 #s(literal -3 binary32) n0_i (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (-.f32 n1_i n0_i))))
(/.f32 (*.f32 (-.f32 (pow.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) #s(literal 3 binary32)) (pow.f32 (-.f32 n1_i n0_i) #s(literal 3 binary32))) u) (fma.f32 (-.f32 n1_i n0_i) (fma.f32 #s(literal -3 binary32) n0_i (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (-.f32 n1_i n0_i))) (pow.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) #s(literal 2 binary32))))
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(/.f32 (*.f32 u (-.f32 (pow.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) #s(literal 3 binary32)) (pow.f32 (-.f32 n1_i n0_i) #s(literal 3 binary32)))) (fma.f32 (-.f32 n1_i n0_i) (fma.f32 #s(literal -3 binary32) n0_i (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (-.f32 n1_i n0_i))) (pow.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) #s(literal 2 binary32))))
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(fma.f32 (*.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u) u (*.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) u))
(fma.f32 u (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) n1_i) (*.f32 u n0_i))
(fma.f32 u (*.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u) (*.f32 u (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i))))
(+.f32 (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) n1_i) u) (*.f32 n0_i u))
(+.f32 (*.f32 (*.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u) u) (*.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) u))
(+.f32 (*.f32 u (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) n1_i)) (*.f32 u n0_i))
(+.f32 (*.f32 u (*.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u)) (*.f32 u (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i))))

eval120.0ms (1.1%)

Memory
-26.6MiB live, 80.0MiB allocated; 23ms collecting garbage
Compiler

Compiled 44 531 to 3 069 computations (93.1% saved)

prune65.0ms (0.6%)

Memory
29.0MiB live, 74.0MiB allocated; 4ms collecting garbage
Pruning

26 alts after pruning (21 fresh and 5 done)

PrunedKeptTotal
New4729481
Fresh41216
Picked235
Done022
Total47826504
Accuracy
100.0%
Counts
504 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.9%
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) #s(approx (* n0_i (sin (* normAngle (- 1 u)))) (*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i))) (sin.f32 normAngle))
77.1%
(/.f32 (fma.f32 n1_i #s(approx (sin (* normAngle u)) (*.f32 (fma.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 u u) normAngle) u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
99.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (fma.f32 #s(literal -2 binary32) n0_i (*.f32 (fma.f32 #s(literal 3 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) u)) u)) n1_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
98.8%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 (*.f32 u u) n1_i) n1_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
98.9%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
98.5%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (*.f32 (fma.f32 (-.f32 u #s(literal 3 binary32)) u #s(literal 2 binary32)) (neg.f32 n0_i))) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
98.2%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (*.f32 (*.f32 u u) (-.f32 n1_i n0_i))) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
99.4%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
99.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
98.7%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (*.f32 #s(literal 1/3 binary32) n0_i)) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
98.6%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
82.9%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (+ (* (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i)))) (* normAngle normAngle)) (- n1_i n0_i)) (*.f32 (fma.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) n1_i))) u n0_i))
82.8%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) (- n1_i n0_i)) (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i))) u n0_i))
59.4%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) (- n1_i n0_i)) (-.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) n0_i) n0_i))) u n0_i))
82.2%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i (*.f32 n1_i u)))
98.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
99.1%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u) n0_i))
59.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (/.f32 #s(approx (+ (* (/ n1_i n0_i) (sin (* normAngle u))) (sin (* (- 1 u) normAngle))) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) n0_i))
38.5%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
59.1%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))
7.6%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- 1 u) (neg.f32 u)) n0_i)))
47.9%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i)))
38.8%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))
59.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- 1 u) n0_i) (-.f32 n0_i (*.f32 u n0_i)))))
99.2%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 #s(approx (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (* (* (* (* normAngle normAngle) u) n0_i) -1/2)) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) u n0_i)))
59.5%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (* (* (* (* normAngle normAngle) u) n0_i) -1/2)) (- n1_i n0_i)) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/2 binary32) (fma.f32 #s(literal -1/3 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32))) (neg.f32 n0_i))) u n0_i)))
Compiler

Compiled 4 945 to 1 402 computations (71.6% saved)

regimes133.0ms (1.2%)

Memory
-31.3MiB live, 112.9MiB allocated; 17ms collecting garbage
Counts
57 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- 1 u) (neg.f32 u)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- 1 u) n0_i) (-.f32 n0_i (*.f32 u n0_i)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) (- n1_i n0_i)) (*.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) n1_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) (- n1_i n0_i)) (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) (- n1_i n0_i)) (-.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) n0_i) n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n1_i n0_i) (sin (* normAngle u))) (sin (* (- 1 u) normAngle))) (sin normAngle)) (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u)) n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (*.f32 #s(literal 1/3 binary32) n0_i)) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 #s(approx (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (* (* (* (* normAngle normAngle) u) n0_i) -1/2)) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) u n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u)) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u) n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (+ (* (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i)))) (* normAngle normAngle)) (- n1_i n0_i)) (*.f32 (fma.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) n1_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) n1_i) n0_i)) u) n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (* (* (* (* normAngle normAngle) u) n0_i) -1/2)) (- n1_i n0_i)) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/2 binary32) (fma.f32 #s(literal -1/3 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32))) (neg.f32 n0_i))) u n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) u) n0_i (*.f32 (*.f32 #s(literal 1/6 binary32) u) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (*.f32 (*.f32 u u) (-.f32 n1_i n0_i))) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 (*.f32 u u) n1_i) n1_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (*.f32 (fma.f32 (-.f32 u #s(literal 3 binary32)) u #s(literal 2 binary32)) (neg.f32 n0_i))) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (*.f32 #s(literal -3 binary32) (-.f32 n0_i (*.f32 n0_i u))) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32))) (-.f32 n1_i n0_i)) u n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (fma.f32 #s(literal -2 binary32) n0_i (*.f32 (fma.f32 #s(literal 3 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) u)) u)) n1_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (/.f32 #s(approx (+ (* (/ n1_i n0_i) (sin (* normAngle u))) (sin (* (- 1 u) normAngle))) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) n0_i))
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i))
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) #s(approx (* n0_i (sin (* normAngle (- 1 u)))) (*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i))) (sin.f32 normAngle))
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.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))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (fma.f32 (*.f32 u (*.f32 #s(literal -1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) n0_i))
(/.f32 (fma.f32 n1_i #s(approx (sin (* normAngle u)) (*.f32 (fma.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 u u) normAngle) u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n1_i (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(+.f32 #s(approx (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (fma.f32 (neg.f32 n0_i) (*.f32 (*.f32 (cos.f32 normAngle) u) (/.f32 normAngle (sin.f32 normAngle))) n0_i)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 (fma.f32 (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) normAngle) (sin.f32 normAngle)) u)) n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32)))) (/.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
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
Calls

5 calls:

39.0ms
(+.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))
20.0ms
u
14.0ms
n1_i
13.0ms
n0_i
13.0ms
normAngle
Results
AccuracySegmentsBranch
99.4%1(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
99.4%1normAngle
99.4%1u
99.4%1n0_i
99.4%1n1_i
Compiler

Compiled 29 to 33 computations (-13.8% saved)

regimes91.0ms (0.8%)

Memory
-10.8MiB live, 35.6MiB allocated; 3ms collecting garbage
Counts
28 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- 1 u) (neg.f32 u)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- 1 u) n0_i) (-.f32 n0_i (*.f32 u n0_i)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) (- n1_i n0_i)) (*.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) n1_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) (- n1_i n0_i)) (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) (- n1_i n0_i)) (-.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) n0_i) n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n1_i n0_i) (sin (* normAngle u))) (sin (* (- 1 u) normAngle))) (sin normAngle)) (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u)) n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (*.f32 #s(literal 1/3 binary32) n0_i)) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 #s(approx (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (* (* (* (* normAngle normAngle) u) n0_i) -1/2)) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) u n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u)) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u) n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (+ (* (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i)))) (* normAngle normAngle)) (- n1_i n0_i)) (*.f32 (fma.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) n1_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) n1_i) n0_i)) u) n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (* (* (* (* normAngle normAngle) u) n0_i) -1/2)) (- n1_i n0_i)) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/2 binary32) (fma.f32 #s(literal -1/3 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32))) (neg.f32 n0_i))) u n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) u) n0_i (*.f32 (*.f32 #s(literal 1/6 binary32) u) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
Outputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
Calls

5 calls:

7.0ms
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
7.0ms
n1_i
7.0ms
u
7.0ms
n0_i
7.0ms
normAngle
Results
AccuracySegmentsBranch
99.3%1(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
99.3%1normAngle
99.3%1u
99.3%1n0_i
99.3%1n1_i
Compiler

Compiled 29 to 33 computations (-13.8% saved)

regimes26.0ms (0.2%)

Memory
40.5MiB live, 40.5MiB allocated; 0ms collecting garbage
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- 1 u) (neg.f32 u)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- 1 u) n0_i) (-.f32 n0_i (*.f32 u n0_i)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) (- n1_i n0_i)) (*.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) n1_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) (- n1_i n0_i)) (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) (- n1_i n0_i)) (-.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) n0_i) n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n1_i n0_i) (sin (* normAngle u))) (sin (* (- 1 u) normAngle))) (sin normAngle)) (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u)) n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (*.f32 #s(literal 1/3 binary32) n0_i)) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 #s(approx (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (* (* (* (* normAngle normAngle) u) n0_i) -1/2)) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) u n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u)) n0_i (*.f32 n1_i u)))
Outputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 #s(approx (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (* (* (* (* normAngle normAngle) u) n0_i) -1/2)) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) u n0_i)))
Calls

5 calls:

5.0ms
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
5.0ms
n1_i
5.0ms
u
5.0ms
n0_i
5.0ms
normAngle
Results
AccuracySegmentsBranch
99.2%1(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
99.2%1normAngle
99.2%1u
99.2%1n0_i
99.2%1n1_i
Compiler

Compiled 29 to 33 computations (-13.8% saved)

regimes49.0ms (0.4%)

Memory
-9.8MiB live, 33.5MiB allocated; 6ms collecting garbage
Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- 1 u) (neg.f32 u)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- 1 u) n0_i) (-.f32 n0_i (*.f32 u n0_i)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) (- n1_i n0_i)) (*.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) n1_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) (- n1_i n0_i)) (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) (- n1_i n0_i)) (-.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) n0_i) n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n1_i n0_i) (sin (* normAngle u))) (sin (* (- 1 u) normAngle))) (sin normAngle)) (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u)) n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (*.f32 #s(literal 1/3 binary32) n0_i)) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
Outputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (*.f32 #s(literal 1/3 binary32) n0_i)) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
Calls

5 calls:

30.0ms
n1_i
5.0ms
normAngle
5.0ms
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
4.0ms
u
4.0ms
n0_i
Results
AccuracySegmentsBranch
98.7%1(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
98.7%1normAngle
98.7%1u
98.7%1n0_i
98.7%1n1_i
Compiler

Compiled 29 to 33 computations (-13.8% saved)

regimes45.0ms (0.4%)

Memory
-11.3MiB live, 40.0MiB allocated; 6ms collecting garbage
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- 1 u) (neg.f32 u)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- 1 u) n0_i) (-.f32 n0_i (*.f32 u n0_i)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) (- n1_i n0_i)) (*.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) n1_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) (- n1_i n0_i)) (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) (- n1_i n0_i)) (-.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) n0_i) n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n1_i n0_i) (sin (* normAngle u))) (sin (* (- 1 u) normAngle))) (sin normAngle)) (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u)) n0_i))
Outputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
Calls

5 calls:

27.0ms
normAngle
4.0ms
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
4.0ms
u
4.0ms
n1_i
4.0ms
n0_i
Results
AccuracySegmentsBranch
98.6%1(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
98.6%1normAngle
98.6%1u
98.6%1n0_i
98.6%1n1_i
Compiler

Compiled 29 to 33 computations (-13.8% saved)

regimes13.0ms (0.1%)

Memory
-12.4MiB live, 34.1MiB allocated; 3ms collecting garbage
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- 1 u) (neg.f32 u)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- 1 u) n0_i) (-.f32 n0_i (*.f32 u n0_i)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)))
Outputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- 1 u) n0_i) (-.f32 n0_i (*.f32 u n0_i)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))
Calls

5 calls:

4.0ms
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
2.0ms
u
2.0ms
n1_i
2.0ms
normAngle
2.0ms
n0_i
Results
AccuracySegmentsBranch
59.3%1(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
59.3%1normAngle
59.3%1u
73.2%3n0_i
73.9%3n1_i
Compiler

Compiled 29 to 33 computations (-13.8% saved)

regimes8.0ms (0.1%)

Memory
21.4MiB live, 21.4MiB allocated; 0ms collecting garbage
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- 1 u) (neg.f32 u)) n0_i)))
Outputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))
Calls

5 calls:

2.0ms
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
2.0ms
n1_i
1.0ms
normAngle
1.0ms
n0_i
1.0ms
u
Results
AccuracySegmentsBranch
47.9%1normAngle
53.2%2u
47.9%1(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
63.3%3n0_i
64.3%3n1_i
Compiler

Compiled 29 to 33 computations (-13.8% saved)

regimes5.0ms (0%)

Memory
16.0MiB live, 16.0MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))
Outputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))
Calls

5 calls:

1.0ms
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
1.0ms
n0_i
1.0ms
n1_i
1.0ms
normAngle
1.0ms
u
Results
AccuracySegmentsBranch
38.8%1normAngle
38.8%1(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
38.8%1u
38.8%1n0_i
38.8%1n1_i
Compiler

Compiled 29 to 33 computations (-13.8% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
2.3713165879137326e-21
7.629253195051365e-21
0.0ms
-1.1141445754127071e-15
-8.42448275548168e-16
Compiler

Compiled 28 to 24 computations (14.3% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
2.3713165879137326e-21
7.629253195051365e-21
0.0ms
-1.1141445754127071e-15
-8.42448275548168e-16
Compiler

Compiled 28 to 24 computations (14.3% saved)

simplify66.0ms (0.6%)

Memory
-10.6MiB live, 80.9MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0115599
1238559
2643515
32527509
47345509
Stop Event
node limit
Calls
Call 1
Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 #s(approx (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (* (* (* (* normAngle normAngle) u) n0_i) -1/2)) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) u n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (*.f32 #s(literal 1/3 binary32) n0_i)) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
(if (<=.f32 n1_i #s(literal -9444733/9444732965739290427392 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i))) (if (<=.f32 n1_i #s(literal 309485/77371252455336267181195264 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- 1 u) n0_i) (-.f32 n0_i (*.f32 u n0_i))))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))))
(if (<=.f32 n1_i #s(literal -9444733/9444732965739290427392 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i))) (if (<=.f32 n1_i #s(literal 309485/77371252455336267181195264 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))
Outputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 #s(approx (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (* (* (* (* normAngle normAngle) u) n0_i) -1/2)) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) u n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (*.f32 #s(literal 1/3 binary32) n0_i)) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
(if (<=.f32 n1_i #s(literal -9444733/9444732965739290427392 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i))) (if (<=.f32 n1_i #s(literal 309485/77371252455336267181195264 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- 1 u) n0_i) (-.f32 n0_i (*.f32 u n0_i))))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))))
(if (or (<=.f32 n1_i #s(literal -9444733/9444732965739290427392 binary32)) (not (<=.f32 n1_i #s(literal 309485/77371252455336267181195264 binary32)))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- 1 u) n0_i) (-.f32 n0_i (*.f32 u n0_i))))))
(if (<=.f32 n1_i #s(literal -9444733/9444732965739290427392 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i))) (if (<=.f32 n1_i #s(literal 309485/77371252455336267181195264 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))))
(if (or (<=.f32 n1_i #s(literal -9444733/9444732965739290427392 binary32)) (not (<=.f32 n1_i #s(literal 309485/77371252455336267181195264 binary32)))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))

derivations1.0s (8.9%)

Memory
-12.7MiB live, 1 036.1MiB allocated; 216ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09914793
134944561
082594289
08233909
128643702
086243466
011486456
142016171
082405788
03211535
110921412
244151356
082081277
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 599 to 117 computations (80.5% saved)

preprocess69.0ms (0.6%)

Memory
28.6MiB live, 115.1MiB allocated; 22ms collecting garbage
Remove

(abs normAngle)

Compiler

Compiled 1 438 to 372 computations (74.1% saved)

end0.0ms (0%)

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

Profiling

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