Curve intersection, scale width based on ribbon orientation

Time bar (total: 10.3s)

start0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

analyze456.0ms (4.4%)

Memory
28.6MiB live, 642.0MiB allocated; 188ms 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)

sample3.2s (31.1%)

Memory
77.8MiB live, 4 173.7MiB allocated; 917ms collecting garbage
Samples
1.6s8 256×0valid
638.0ms2 082×0invalid
Precisions
Click to see histograms. Total time spent on operations: 1.7s
ival-sin: 472.0ms (27% of total)
ival-mult: 423.0ms (24.2% of total)
ival-<=: 242.0ms (13.9% of total)
const: 192.0ms (11% of total)
ival-div: 165.0ms (9.4% of total)
ival-sub: 61.0ms (3.5% of total)
ival-pi: 60.0ms (3.4% of total)
ival-and: 54.0ms (3.1% of total)
ival-add: 48.0ms (2.7% of total)
exact: 21.0ms (1.2% of total)
adjust: 4.0ms (0.2% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

explain230.0ms (2.2%)

Memory
16.1MiB live, 406.5MiB allocated; 94ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
310-29(4.263798772350671e-37 9.489673935547671e-9 1.36621185205988e-35 -2.1695771216434866e-17)(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
10-0-(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
00-0-(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
00-0-(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
00-0-(*.f32 u normAngle)
00-0-n1_i
00-0-(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
00-0-(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
00-0-n0_i
00-0-normAngle
00-0-(-.f32 #s(literal 1 binary32) u)
00-0-(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
00-0-#s(literal 1 binary32)
00-0-(sin.f32 (*.f32 u normAngle))
00-0-u
00-0-(sin.f32 normAngle)
00-0-(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f32(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))n*o10
*.f32(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))n*u10
*.f32(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))n*o10
Confusion
Predicted +Predicted -
+220
-0234
Precision
1.0
Recall
0.09090909090909091
Confusion?
Predicted +Predicted MaybePredicted -
+2020
-00234
Precision?
1.0
Recall?
0.09090909090909091
Freqs
test
numberfreq
0254
11
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
97.0ms496×0valid
4.0ms16×1valid
Compiler

Compiled 231 to 55 computations (76.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 23.0ms (50.9% of total)
ival-sin: 12.0ms (26.6% of total)
ival-div: 4.0ms (8.9% of total)
ival-sub: 3.0ms (6.6% of total)
ival-add: 2.0ms (4.4% of total)
adjust: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess900.0ms (8.7%)

Memory
-178.7MiB live, 337.1MiB allocated; 1.0s collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106368
1284302
2845268
32771253
01725
02925
14921
211318
333618
4124718
5467318
0811217
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
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.5%
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
Compiler

Compiled 25 to 17 computations (32% saved)

simplify141.0ms (1.4%)

Memory
-32.9MiB live, 159.5MiB allocated; 24ms 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
211386
333686
4124786
5467386
0811285
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

localize43.0ms (0.4%)

Memory
30.0MiB live, 75.2MiB allocated; 4ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.140625
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
accuracy0.16015625
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
accuracy0.5107612912193948
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
accuracy1.7874850613342455
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
Samples
31.0ms248×0valid
2.0ms1valid
Compiler

Compiled 103 to 19 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 11.0ms (49% of total)
ival-sin: 6.0ms (26.7% of total)
ival-div: 2.0ms (8.9% of total)
ival-add: 1.0ms (4.5% of total)
ival-sub: 1.0ms (4.5% 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)

series50.0ms (0.5%)

Memory
-33.8MiB live, 110.6MiB allocated; 13ms 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
14.0ms
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))
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
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))
4.0ms
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))

simplify238.0ms (2.3%)

Memory
27.7MiB live, 253.0MiB allocated; 46ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03211541
110921416
245351410
089571307
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) (-.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 (-.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 (pow.f32 (+.f32 #s(literal -1 binary32) u) #s(literal 3 binary32)) n0_i) #s(literal 1/6 binary32) (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) (*.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 n1_i u)))))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 (fma.f32 #s(literal -1/6 binary32) u #s(literal 1/6 binary32)) 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 (pow.f32 (+.f32 #s(literal -1 binary32) u) #s(literal 3 binary32)) n0_i) #s(literal 1/6 binary32) (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 (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) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)) n0_i))) (-.f32 (fma.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32)) n1_i (*.f32 (*.f32 #s(literal -1/120 binary32) u) n1_i)) (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) 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 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) #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))) (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 n1_i u)))))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 (fma.f32 #s(literal -1/6 binary32) u #s(literal 1/6 binary32)) n0_i)))) (*.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)
(-.f32 (fma.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/6 binary32) u #s(literal 1/6 binary32))) (*.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)) (+ (* -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 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/6 binary32) u #s(literal 1/6 binary32)))) (*.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 (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 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.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)) (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)))) #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 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (fma.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)) (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/6 binary32) u #s(literal 1/6 binary32)))) (*.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 (fma.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal -1/120 binary32) u)) (*.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 normAngle normAngle) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32))) (*.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 (fma.f32 (-.f32 (*.f32 (pow.f32 u #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal -1/120 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 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 #s(literal 1/120 binary32) u))) (*.f32 normAngle normAngle) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32))) (*.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 (*.f32 (*.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) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)) n0_i))) (*.f32 normAngle normAngle) (*.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))) (* (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 (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (*.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 (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) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)) n0_i))) #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))) (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))) (*.f32 (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)) n0_i))) (*.f32 normAngle normAngle) (*.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))
(* 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 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (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 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.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))) (* 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 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (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 (fma.f32 (neg.f32 (cos.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle)) (*.f32 (*.f32 (*.f32 normAngle u) normAngle) #s(literal -1/2 binary32))) 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 (+.f32 (/.f32 (fma.f32 (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) normAngle) (sin.f32 normAngle)) (*.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)))) 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 (fma.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 (*.f32 (*.f32 normAngle u) normAngle) 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))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))
(fma.f32 (fma.f32 (*.f32 u (*.f32 #s(literal -1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n0_i)) (*.f32 (cos.f32 normAngle) u)) u (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (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 (neg.f32 (neg.f32 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)))
(* 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 #s(literal 1 binary32) n1_i) (/.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)))

rewrite65.0ms (0.6%)

Memory
12.0MiB live, 110.4MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01763
02963
18053
048552
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
5 → 62
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 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))))
(/.f32 (-.f32 (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (neg.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 2 binary32)) (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (neg.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)))) (neg.f32 (-.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(/.f32 (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))))))
(/.f32 (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 3 binary32))) (fma.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))) (/.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))))
(-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 (neg.f32 n0_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) n0_i))
(-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 (neg.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))))
(-.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 (neg.f32 n1_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(-.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 (neg.f32 (sin.f32 (*.f32 normAngle u))) (*.f32 n1_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))))
(-.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (neg.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(fma.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(fma.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 (neg.f32 normAngle)))) n1_i))
(fma.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 (*.f32 n1_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(fma.f32 (*.f32 n0_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 (neg.f32 normAngle)))) n1_i))
(fma.f32 (*.f32 n0_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (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 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 n1_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 (neg.f32 normAngle)))) n1_i))
(fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) n0_i (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 (neg.f32 normAngle)))) n1_i))
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) n0_i (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 (neg.f32 normAngle)))) n1_i))
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 (neg.f32 normAngle)))) n1_i))
(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(+.f32 (/.f32 (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 3 binary32)) (fma.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32)) (fma.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 2 binary32)))))
(+.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(+.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 (neg.f32 normAngle)))) n1_i))
(+.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 (neg.f32 normAngle)))
(/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32)) (sin.f32 (neg.f32 normAngle)))
(/.f32 (neg.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 (neg.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))
(/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 normAngle u))) (sin.f32 (neg.f32 normAngle)))
(/.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) #s(literal -1 binary32)) (sin.f32 (neg.f32 normAngle)))
(/.f32 (neg.f32 (sin.f32 (*.f32 normAngle u))) (sin.f32 (neg.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(*.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (*.f32 n0_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) n0_i)
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))
(/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(*.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) (+.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)))

eval15.0ms (0.1%)

Memory
-7.1MiB live, 36.8MiB allocated; 5ms collecting garbage
Compiler

Compiled 4 207 to 527 computations (87.5% saved)

prune11.0ms (0.1%)

Memory
-14.0MiB live, 32.9MiB allocated; 2ms collecting garbage
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New9013103
Fresh000
Picked101
Done000
Total9113104
Accuracy
99.9%
Counts
104 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.5%
(fma.f32 (*.f32 n0_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
98.5%
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
95.6%
(+.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))
78.7%
(+.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))
96.0%
(+.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))
85.2%
#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 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (sin.f32 normAngle))) u n0_i))
85.1%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (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)))
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) (-.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 (-.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))))
72.7%
#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)))
95.9%
#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))
95.7%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i))
36.5%
#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 1 010 to 658 computations (34.9% saved)

simplify185.0ms (1.8%)

Memory
15.2MiB live, 267.8MiB allocated; 29ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
cost-diff0
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
cost-diff1
(+.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 normAngle (sin.f32 normAngle)) u)) n1_i))
cost-diff2
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
cost-diff0
(sin.f32 (*.f32 normAngle u))
cost-diff0
(fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i))
cost-diff0
(/.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))
cost-diff0
#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)))
cost-diff0
(/.f32 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (sin.f32 normAngle))
cost-diff0
(fma.f32 (/.f32 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (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 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (sin.f32 normAngle)) u n0_i))
cost-diff2
(fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle)))
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
(*.f32 #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 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
cost-diff0
(fma.f32 (*.f32 #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 (-.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) (-.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 (-.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-diff3
(-.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 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057580
097580
1193536
2492528
31655520
45958520
08224515
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) (-.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 (-.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) (-.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 (-.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) (-.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 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
#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 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
(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))
(pow.f32 u #s(literal 3 binary32))
u
#s(literal 3 binary32)
n1_i
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
n0_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 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (sin.f32 normAngle)) u n0_i))
(fma.f32 (/.f32 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (sin.f32 normAngle)) u n0_i)
(/.f32 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (sin.f32 normAngle))
(fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle)))
n1_i
normAngle
(*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))
(*.f32 n0_i (cos.f32 normAngle))
n0_i
(cos.f32 normAngle)
(neg.f32 normAngle)
(sin.f32 normAngle)
u
#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 (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 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i))
(sin.f32 (*.f32 normAngle u))
(*.f32 normAngle u)
normAngle
u
n1_i
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)
(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)
n0_i
(sin.f32 normAngle)
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n0_i
(*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)
(/.f32 normAngle (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 (*.f32 #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 (-.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 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) n0_i (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
(fma.f32 (*.f32 #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 (-.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 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) n0_i (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
(*.f32 #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 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
(*.f32 (fma.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) n0_i (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) #s(literal -1/6 binary32))
#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 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
(fma.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) n0_i (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))
(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))
(pow.f32 u #s(literal 3 binary32))
u
#s(literal 3 binary32)
n1_i
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
n0_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 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (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 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (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 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (sin.f32 normAngle))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)))
(fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle)))
(*.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) normAngle)
n1_i
normAngle
(*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))
(*.f32 (*.f32 (neg.f32 n0_i) normAngle) (cos.f32 normAngle))
(*.f32 n0_i (cos.f32 normAngle))
(*.f32 (cos.f32 normAngle) n0_i)
n0_i
(cos.f32 normAngle)
(neg.f32 normAngle)
(sin.f32 normAngle)
u
#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)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (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))
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle))
(fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i))
(fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i))
(sin.f32 (*.f32 normAngle u))
(*.f32 normAngle u)
normAngle
u
n1_i
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)
(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)
n0_i
(sin.f32 normAngle)
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (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 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)
(/.f32 normAngle (sin.f32 normAngle))
n1_i

localize156.0ms (1.5%)

Memory
-10.7MiB live, 366.1MiB allocated; 38ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.09994125976844201
(+.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 normAngle (sin.f32 normAngle)) u)) n1_i))
accuracy0.140625
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
accuracy0.16015625
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
accuracy0.5107612912193948
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
accuracy0.09765625
(fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i))
accuracy0.1171875
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)
accuracy0.140625
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
accuracy8.66153757491038
(/.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))
accuracy0.04059498993272953
(fma.f32 (/.f32 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (sin.f32 normAngle)) u n0_i)
accuracy0.05078125
(fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle)))
accuracy0.08209757667191418
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (sin.f32 normAngle)) u n0_i))
accuracy7.500238612665858
(/.f32 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (sin.f32 normAngle))
accuracy0.0
(-.f32 #s(literal 1 binary32) u)
accuracy0.0
(*.f32 n1_i u)
accuracy0.15625
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
accuracy0.423368120243346
#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)))
accuracy0.19090901928482645
#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) (-.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 (-.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))))
accuracy0.38671875
(*.f32 #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 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
accuracy0.5931625976844203
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))
accuracy7.307707611699277
(-.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 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
Samples
105.0ms244×0valid
9.0ms12×1valid
Compiler

Compiled 498 to 51 computations (89.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-mult: 38.0ms (45.6% of total)
ival-add: 11.0ms (13.2% of total)
ival-sin: 8.0ms (9.6% of total)
ival-div: 7.0ms (8.4% of total)
ival-pow: 6.0ms (7.2% of total)
const: 4.0ms (4.8% of total)
ival-sub: 3.0ms (3.6% of total)
adjust: 2.0ms (2.4% of total)
ival-cos: 2.0ms (2.4% of total)
ival-neg: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series128.0ms (1.2%)

Memory
10.0MiB live, 204.1MiB allocated; 25ms collecting garbage
Counts
23 → 224
Calls
Call 1
Inputs
(-.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 (-.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) (-.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 (-.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) (-.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 (-.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) (-.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 (-.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)
(fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (sin.f32 normAngle)) u n0_i))
(fma.f32 (/.f32 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (sin.f32 normAngle)) u n0_i)
(/.f32 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (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 (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 (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 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i))
(sin.f32 (*.f32 normAngle u))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)
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 (* -1 n0_i)))
(* normAngle (+ n1_i (+ (* -1 n0_i) (* 1/2 (* n0_i (pow normAngle 2))))))
(* normAngle (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1/24 (* n0_i (pow normAngle 2))) (* 1/2 n0_i))))))
(* normAngle (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* 1/2 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (* 1/720 (* n0_i (pow normAngle 2))))))))))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))
(+ n0_i (+ (* u (+ n1_i (* -1 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 (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))
(+ n0_i (+ (* u (+ n1_i (* -1 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 (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i))))))) (+ (* -1/5040 (* u (+ n1_i (* -1 n0_i)))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))
(+ n1_i (* -1 n0_i))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i)))))))
(+ n1_i (+ (* -1 n0_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 (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 n0_i)))))))
(+ n1_i (+ (* -1 n0_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 (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i)))))) (+ (* -1/5040 (+ n1_i (* -1 n0_i))) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i)))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 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))))))))
(- 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)
(* 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))
(* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u))
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u))
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (- 1 u) 7))) (* 1/120 (pow (- 1 u) 5))))))) u))
(* 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 (* -1 (* n0_i (cos normAngle)))))
(/ (* normAngle (* u (+ n1_i (* -1 (* n0_i (cos normAngle)))))) (sin normAngle))
(* normAngle (+ (/ n0_i normAngle) (/ (* u (+ n1_i (* -1 (* n0_i (cos normAngle))))) (sin normAngle))))
(/ (* normAngle (+ n1_i (* -1 (* 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))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(sin (* normAngle (- 1 u)))
(* n0_i (sin (* normAngle (- 1 u))))
(* -1 (* normAngle (+ (* -1 n1_i) (* n0_i (cos normAngle)))))
(* -1 (/ (* normAngle (* u (+ (* -1 n1_i) (* n0_i (cos normAngle))))) (sin normAngle)))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (+ (* -1 n1_i) (* n0_i (cos normAngle)))) (sin normAngle)))))
(* -1 (/ (* normAngle (+ (* -1 n1_i) (* 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))))
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))))))))))))
(* -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))))))))
1
(+ 1 (* -1 u))
(* n1_i u)
(* 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))))))))
(+ 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))))))))
(+ 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))))))))
(sin normAngle)
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle)))))))))
(+ 1 (* -3 u))
(+ 1 (* u (- (* 3 u) 3)))
(+ 1 (* u (- (* u (+ 3 (* -1 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)))))
(* -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))))))
(* u (+ n1_i (* -1 n0_i)))
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(* -1 u)
(* u (- (/ 1 u) 1))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
(* -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 (* 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))))))
(+ (/ (* 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)))))))
(* 1/6 (* (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 (+ n0_i (* -1 n1_i))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(* -1 (* u (- 1 (/ 1 u))))
(/ (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle))) (sin normAngle))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i 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))))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(sin (* normAngle (+ 1 (* -1 u))))
(* -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 (* 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))
(/ (* 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)))
(* -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))))
(* 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)))
(* 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 (+ (/ (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))
(* -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))))
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(* -1 (* n0_i (* normAngle (cos normAngle))))
(* n0_i (+ (* -1 (* normAngle (cos normAngle))) (/ (* n1_i normAngle) n0_i)))
(* 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)))
(* -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 (/ (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)))))))))
(* 1/6 (* 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 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) n0_i)) (* 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)))))
(- (* 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)))
(+ (* -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)))))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(* 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 (+ (/ (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)))))
(* -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 (+ 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)))
(* -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 (/ (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))))))))
(* 1/6 (* 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 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)))))
Calls

12 calls:

TimeVariablePointExpression
11.0ms
u
@0
((- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_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 u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_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 u) n0_i) (* n1_i u)) (- 1 u) (* n1_i u) (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) u) n0_i) (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (+ (* (sin (* normAngle u)) n1_i) (* (sin (* (- 1 u) normAngle)) n0_i)) (sin normAngle)) (+ (* (sin (* normAngle u)) n1_i) (* (sin (* (- 1 u) normAngle)) n0_i)) (sin (* normAngle u)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (sin (* (- 1 u) normAngle)) (pow (- 1 u) 3) (* (- 1 u) normAngle) (* (sin (* (- 1 u) normAngle)) n0_i))
7.0ms
normAngle
@-inf
((- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_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 u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_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 u) n0_i) (* n1_i u)) (- 1 u) (* n1_i u) (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) u) n0_i) (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (+ (* (sin (* normAngle u)) n1_i) (* (sin (* (- 1 u) normAngle)) n0_i)) (sin normAngle)) (+ (* (sin (* normAngle u)) n1_i) (* (sin (* (- 1 u) normAngle)) n0_i)) (sin (* normAngle u)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (sin (* (- 1 u) normAngle)) (pow (- 1 u) 3) (* (- 1 u) normAngle) (* (sin (* (- 1 u) normAngle)) n0_i))
7.0ms
normAngle
@0
((- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_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 u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_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 u) n0_i) (* n1_i u)) (- 1 u) (* n1_i u) (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) u) n0_i) (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (+ (* (sin (* normAngle u)) n1_i) (* (sin (* (- 1 u) normAngle)) n0_i)) (sin normAngle)) (+ (* (sin (* normAngle u)) n1_i) (* (sin (* (- 1 u) normAngle)) n0_i)) (sin (* normAngle u)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (sin (* (- 1 u) normAngle)) (pow (- 1 u) 3) (* (- 1 u) normAngle) (* (sin (* (- 1 u) normAngle)) n0_i))
7.0ms
n0_i
@inf
((- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_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 u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_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 u) n0_i) (* n1_i u)) (- 1 u) (* n1_i u) (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) u) n0_i) (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (+ (* (sin (* normAngle u)) n1_i) (* (sin (* (- 1 u) normAngle)) n0_i)) (sin normAngle)) (+ (* (sin (* normAngle u)) n1_i) (* (sin (* (- 1 u) normAngle)) n0_i)) (sin (* normAngle u)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (sin (* (- 1 u) normAngle)) (pow (- 1 u) 3) (* (- 1 u) normAngle) (* (sin (* (- 1 u) normAngle)) n0_i))
6.0ms
u
@inf
((- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_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 u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_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 u) n0_i) (* n1_i u)) (- 1 u) (* n1_i u) (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) u) n0_i) (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (+ (* (sin (* normAngle u)) n1_i) (* (sin (* (- 1 u) normAngle)) n0_i)) (sin normAngle)) (+ (* (sin (* normAngle u)) n1_i) (* (sin (* (- 1 u) normAngle)) n0_i)) (sin (* normAngle u)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (sin (* (- 1 u) normAngle)) (pow (- 1 u) 3) (* (- 1 u) normAngle) (* (sin (* (- 1 u) normAngle)) n0_i))

simplify225.0ms (2.2%)

Memory
21.3MiB live, 332.0MiB allocated; 58ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010145460
138155388
089645050
Stop Event
iter limit
node limit
Counts
224 → 222
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 (* -1 n0_i)))
(* normAngle (+ n1_i (+ (* -1 n0_i) (* 1/2 (* n0_i (pow normAngle 2))))))
(* normAngle (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1/24 (* n0_i (pow normAngle 2))) (* 1/2 n0_i))))))
(* normAngle (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* 1/2 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (* 1/720 (* n0_i (pow normAngle 2))))))))))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))
(+ n0_i (+ (* u (+ n1_i (* -1 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 (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))
(+ n0_i (+ (* u (+ n1_i (* -1 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 (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i))))))) (+ (* -1/5040 (* u (+ n1_i (* -1 n0_i)))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))
(+ n1_i (* -1 n0_i))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i)))))))
(+ n1_i (+ (* -1 n0_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 (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 n0_i)))))))
(+ n1_i (+ (* -1 n0_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 (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i)))))) (+ (* -1/5040 (+ n1_i (* -1 n0_i))) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i)))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 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))))))))
(- 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)
(* 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))
(* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u))
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u))
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (- 1 u) 7))) (* 1/120 (pow (- 1 u) 5))))))) u))
(* 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 (* -1 (* n0_i (cos normAngle)))))
(/ (* normAngle (* u (+ n1_i (* -1 (* n0_i (cos normAngle)))))) (sin normAngle))
(* normAngle (+ (/ n0_i normAngle) (/ (* u (+ n1_i (* -1 (* n0_i (cos normAngle))))) (sin normAngle))))
(/ (* normAngle (+ n1_i (* -1 (* 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))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(sin (* normAngle (- 1 u)))
(* n0_i (sin (* normAngle (- 1 u))))
(* -1 (* normAngle (+ (* -1 n1_i) (* n0_i (cos normAngle)))))
(* -1 (/ (* normAngle (* u (+ (* -1 n1_i) (* n0_i (cos normAngle))))) (sin normAngle)))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (+ (* -1 n1_i) (* n0_i (cos normAngle)))) (sin normAngle)))))
(* -1 (/ (* normAngle (+ (* -1 n1_i) (* 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))))
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))))))))))))
(* -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))))))))
1
(+ 1 (* -1 u))
(* n1_i u)
(* 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))))))))
(+ 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))))))))
(+ 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))))))))
(sin normAngle)
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle)))))))))
(+ 1 (* -3 u))
(+ 1 (* u (- (* 3 u) 3)))
(+ 1 (* u (- (* u (+ 3 (* -1 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)))))
(* -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))))))
(* u (+ n1_i (* -1 n0_i)))
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(* -1 u)
(* u (- (/ 1 u) 1))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
(* -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 (* 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))))))
(+ (/ (* 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)))))))
(* 1/6 (* (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 (+ n0_i (* -1 n1_i))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(* -1 (* u (- 1 (/ 1 u))))
(/ (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle))) (sin normAngle))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i 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))))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(sin (* normAngle (+ 1 (* -1 u))))
(* -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 (* 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))
(/ (* 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)))
(* -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))))
(* 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)))
(* 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 (+ (/ (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))
(* -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))))
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(* -1 (* n0_i (* normAngle (cos normAngle))))
(* n0_i (+ (* -1 (* normAngle (cos normAngle))) (/ (* n1_i normAngle) n0_i)))
(* 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)))
(* -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 (/ (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)))))))))
(* 1/6 (* 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 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) n0_i)) (* 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)))))
(- (* 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)))
(+ (* -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)))))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(* 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 (+ (/ (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)))))
(* -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 (+ 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)))
(* -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 (/ (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))))))))
(* 1/6 (* 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 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)))))
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 binary32) u) n0_i (fma.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 #s(literal 1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i 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)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (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 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i))) (fma.f32 (*.f32 (*.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)) #s(literal -1/6 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) (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 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i 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 (-.f32 #s(literal 1 binary32) u) n0_i (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 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i)) (*.f32 (-.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 7 binary32)) n1_i))) (fma.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 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)) #s(literal -1/6 binary32)))) #s(literal -1/6 binary32) (fma.f32 (-.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)))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/5040 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i 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 (*.f32 (*.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)) #s(literal -1/6 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) (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 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (*.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)) (-.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 (-.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)))
(* normAngle (+ n1_i (* -1 n0_i)))
(*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) normAngle)
(* normAngle (+ n1_i (+ (* -1 n0_i) (* 1/2 (* n0_i (pow normAngle 2))))))
(*.f32 (+.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (neg.f32 n0_i)) n1_i) normAngle)
(* normAngle (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1/24 (* n0_i (pow normAngle 2))) (* 1/2 n0_i))))))
(*.f32 (+.f32 (fma.f32 (fma.f32 #s(literal -1/24 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i) normAngle)
(* normAngle (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* 1/2 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (* 1/720 (* n0_i (pow normAngle 2))))))))))
(*.f32 (+.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/720 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (*.f32 #s(literal -1/24 binary32) n0_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i) normAngle)
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u n0_i)
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))
(+.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u n0_i) (*.f32 (fma.f32 (*.f32 n0_i u) #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))) (*.f32 normAngle normAngle)))
(+ n0_i (+ (* u (+ n1_i (* -1 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 (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 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 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u)) n0_i)
(+ n0_i (+ (* u (+ n1_i (* -1 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 (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i))))))) (+ (* -1/5040 (* u (+ n1_i (* -1 n0_i)))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))
(+.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u n0_i) (*.f32 (fma.f32 (*.f32 n0_i u) #s(literal 1/2 binary32) (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 n0_i u) #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_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 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))) #s(literal 1/120 binary32) (*.f32 (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_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 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u)))) (*.f32 normAngle normAngle)))
(+ n1_i (* -1 n0_i))
(fma.f32 #s(literal -1 binary32) n0_i n1_i)
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i)))))))
(+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)
(+ n1_i (+ (* -1 n0_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 (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 n0_i)))))))
(+.f32 (fma.f32 (fma.f32 #s(literal 1/2 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) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)
(+ n1_i (+ (* -1 n0_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 (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i)))))) (+ (* -1/5040 (+ n1_i (* -1 n0_i))) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i)))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 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 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_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) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal 1/120 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.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) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) 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)) (* n1_i u)))))))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (fma.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 #s(literal 1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i 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)))) (+ (* -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 (-.f32 #s(literal 1 binary32) u) n0_i (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 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i))) (fma.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 #s(literal 1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) #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) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i 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))) (* 1/120 (* 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 (-.f32 #s(literal 1 binary32) u) n0_i (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 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i)) (*.f32 (-.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 7 binary32)) n1_i))) (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i))) (fma.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 #s(literal 1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) #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 (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 #s(literal 1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) #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))) (fma.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 #s(literal 1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) #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) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (*.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 binary32) u) n0_i (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) (*.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 (-.f32 #s(literal 1 binary32) u) n0_i (fma.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 #s(literal 1/120 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) (*.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 (-.f32 #s(literal 1 binary32) u) n0_i (fma.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 (fma.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i)) (*.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 7 binary32)) n1_i))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) (*.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)
(- 1 u)
(-.f32 #s(literal 1 binary32) u)
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u)
(-.f32 (fma.f32 (*.f32 #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 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)) (+ (* -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 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -1/6 binary32) (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal -1/6 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) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.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 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -1/6 binary32) (fma.f32 (-.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 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal -1/6 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) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1/120 binary32) (*.f32 #s(literal -1/5040 binary32) (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (fma.f32 (*.f32 #s(literal -1/6 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) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) 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 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 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) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (fma.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 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)) #s(literal -1/6 binary32)))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (-.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))) (* (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) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (fma.f32 (-.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 (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 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)) #s(literal -1/6 binary32)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 #s(literal -1/5040 binary32) n0_i) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (*.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)) #s(literal 1/120 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))) (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (*.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)) #s(literal -1/6 binary32)))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(* normAngle (- 1 u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u))
(*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 1 binary32)) u) normAngle)
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u))
(*.f32 (-.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 normAngle normAngle)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u) normAngle)
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (- 1 u) 7))) (* 1/120 (pow (- 1 u) 5))))))) u))
(*.f32 (-.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 normAngle normAngle)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 normAngle normAngle) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u) normAngle)
(* 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 1/120 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (*.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 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)) (-.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 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 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)))))
(*.f32 (fma.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 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) #s(literal -1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle))
(* normAngle (+ n1_i (* -1 (* n0_i (cos normAngle)))))
(*.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) normAngle)
(/ (* normAngle (* u (+ n1_i (* -1 (* 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 (* -1 (* 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 (* -1 (* 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))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
(sin (* normAngle (- 1 u)))
(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) (* n0_i (cos normAngle)))))
(*.f32 (neg.f32 normAngle) (fma.f32 (cos.f32 normAngle) n0_i (neg.f32 n1_i)))
(* -1 (/ (* normAngle (* u (+ (* -1 n1_i) (* n0_i (cos normAngle))))) (sin normAngle)))
(*.f32 (neg.f32 normAngle) (/.f32 (*.f32 (fma.f32 (cos.f32 normAngle) n0_i (neg.f32 n1_i)) u) (sin.f32 normAngle)))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (+ (* -1 n1_i) (* n0_i (cos normAngle)))) (sin normAngle)))))
(*.f32 (neg.f32 normAngle) (fma.f32 u (/.f32 (fma.f32 (cos.f32 normAngle) n0_i (neg.f32 n1_i)) (sin.f32 normAngle)) (/.f32 (neg.f32 n0_i) normAngle)))
(* -1 (/ (* normAngle (+ (* -1 n1_i) (* n0_i (cos normAngle)))) (sin normAngle)))
(/.f32 (*.f32 (neg.f32 normAngle) (fma.f32 (cos.f32 normAngle) n0_i (neg.f32 n1_i))) (sin.f32 normAngle))
(* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))
(*.f32 (-.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) n1_i) (neg.f32 n0_i)) u)
(* u (- (+ (* -3 n0_i) (* 3 (* n0_i u))) (+ n1_i (* -1 n0_i))))
(*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u)
(* u (- (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i)))))) (+ n1_i (* -1 n0_i))))
(*.f32 (-.f32 (-.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) n1_i) (neg.f32 n0_i)) u)
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 (neg.f32 n0_i) (/.f32 (*.f32 (cos.f32 normAngle) normAngle) (sin.f32 normAngle)) (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n1_i (/.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))) (* 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 (neg.f32 n0_i) (/.f32 (*.f32 (cos.f32 normAngle) normAngle) (sin.f32 normAngle)) (fma.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (cos.f32 normAngle)) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) #s(literal -1/6 binary32))) (sin.f32 normAngle)) u (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) u (*.f32 n1_i (/.f32 normAngle (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 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) n1_i) (neg.f32 n0_i)) (neg.f32 n0_i)) n1_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))))))))))
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(* -1/6 (* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))
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(* u (+ (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))
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1
#s(literal 1 binary32)
(+ 1 (* -1 u))
(fma.f32 #s(literal -1 binary32) u #s(literal 1 binary32))
(* n1_i u)
(*.f32 n1_i u)
(* n0_i (sin normAngle))
(*.f32 (sin.f32 normAngle) n0_i)
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(+ (* 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))))))))))))
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(+ 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))))))))
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(sin normAngle)
(sin.f32 normAngle)
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(-.f32 (sin.f32 normAngle) (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle))
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(+ 1 (* -3 u))
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(+ 1 (* u (- (* 3 u) 3)))
(fma.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -3 binary32)) u #s(literal 1 binary32))
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(fma.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) u #s(literal 3 binary32)) u #s(literal -3 binary32)) u #s(literal 1 binary32))
normAngle
(+ normAngle (* -1 (* normAngle u)))
(-.f32 normAngle (*.f32 normAngle u))
(+ (* -1 (* n0_i (* normAngle (* u (cos normAngle))))) (* n0_i (sin normAngle)))
(-.f32 (*.f32 (sin.f32 normAngle) n0_i) (*.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) n0_i))
(+ (* 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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(+ (* 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))))))))))
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(* (pow u 3) (+ n1_i (* -1 n0_i)))
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(* (pow u 3) (+ n1_i (+ (* -1 n0_i) (* 3 (/ n0_i u)))))
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(* -1/6 (* (pow normAngle 2) (* (pow u 3) (+ n1_i (* -1 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))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2))))))))
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(* -1/6 (* (pow u 3) (+ 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))))))
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(* -1 (* normAngle u))
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(* u (+ (* -1 normAngle) (/ normAngle u)))
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(* -1 (* (pow u 3) (+ n0_i (* -1 n1_i))))
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(* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ (* -1 (/ (- (* 3 n0_i) (+ n0_i (* -1 n1_i))) u)) (* 3 n0_i)) u))))))
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(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
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(* 1/6 (* (pow normAngle 2) (* (pow u 3) (+ n0_i (* -1 n1_i)))))
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(* -1 (* (pow u 3) (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u)))))
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(*.f32 (*.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))
(+ (* -1/6 (* n1_i (- (pow u 3) u))) (* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))))
(*.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)))))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(+.f32 (/.f32 (fma.f32 (*.f32 normAngle n1_i) u (*.f32 (*.f32 (neg.f32 n0_i) normAngle) (*.f32 (cos.f32 normAngle) u))) (sin.f32 normAngle)) n0_i)
(* n1_i (- (pow u 3) u))
(*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i)
(* n1_i (- (+ (/ (* n0_i (pow (- 1 u) 3)) n1_i) (pow u 3)) (+ u (/ (* n0_i (- 1 u)) n1_i))))
(*.f32 (-.f32 (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) n1_i)
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(*.f32 (/.f32 (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n1_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i)
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.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 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 n0_i (-.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)) n1_i)
(* -1/6 (* n1_i (- (pow u 3) u)))
(*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))
(* n1_i (+ (* -1/6 (- (pow u 3) u)) (* -1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i))))
(*.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (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))) 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 (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i))))
(*.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 (cos.f32 normAngle) normAngle) n1_i) 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 (/.f32 (neg.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 (/.f32 (neg.f32 n0_i) n1_i) (/.f32 (*.f32 (cos.f32 normAngle) normAngle) (sin.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle))) n1_i)
(* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i)))
(*.f32 (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n1_i) (sin.f32 (*.f32 normAngle u))) n1_i)
(* -1 (* n1_i (- (* -1 (pow u 3)) (* -1 u))))
(*.f32 (*.f32 #s(literal -1 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (neg.f32 n1_i))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)) (* -1 (pow u 3))) (* -1 u))))
(*.f32 (-.f32 (neg.f32 (+.f32 (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 u)) (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 (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n1_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))) (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) (*.f32 normAngle normAngle)) (*.f32 #s(literal -1 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (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 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 #s(literal -1 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 n0_i (-.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)) (neg.f32 n1_i)))) (neg.f32 n1_i))
(* 1/6 (* n1_i (- (* -1 (pow u 3)) (* -1 u))))
(*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (-.f32 (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 (fma.f32 (/.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) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) #s(literal -1/6 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 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))

rewrite123.0ms (1.2%)

Memory
10.9MiB live, 159.9MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057427
097427
1331387
02499386
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
23 → 334
Calls
Call 1
Inputs
(-.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 (-.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) (-.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 (-.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) (-.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 (-.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) (-.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 (-.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)
(fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (sin.f32 normAngle)) u n0_i))
(fma.f32 (/.f32 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (sin.f32 normAngle)) u n0_i)
(/.f32 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (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 (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 (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 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i))
(sin.f32 (*.f32 normAngle u))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)
Outputs
(/.f32 (-.f32 (*.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)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (-.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)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32))) (+.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)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i u)))
(/.f32 (-.f32 (pow.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) #s(literal 2 binary32)) (*.f32 (-.f32 (*.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 (*.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 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (-.f32 (*.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 (-.f32 (pow.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)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i u) #s(literal 3 binary32))) (fma.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)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (-.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)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (+.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (*.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)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i u)))))
(/.f32 (+.f32 (pow.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) #s(literal 3 binary32)) (pow.f32 (-.f32 (*.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))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 (*.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 (*.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 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (-.f32 (*.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 (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 (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))))))
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(-.f32 (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle)) (*.f32 (neg.f32 normAngle) n1_i))
(-.f32 (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle)) (*.f32 (neg.f32 n1_i) normAngle))
(fma.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle) (*.f32 normAngle n1_i))
(fma.f32 (*.f32 (neg.f32 normAngle) (cos.f32 normAngle)) n0_i (*.f32 normAngle n1_i))
(fma.f32 (*.f32 (neg.f32 n0_i) (cos.f32 normAngle)) normAngle (*.f32 normAngle n1_i))
(fma.f32 (neg.f32 normAngle) (*.f32 (cos.f32 normAngle) n0_i) (*.f32 normAngle n1_i))
(fma.f32 (*.f32 (cos.f32 normAngle) n0_i) (neg.f32 normAngle) (*.f32 normAngle n1_i))
(fma.f32 (cos.f32 normAngle) (*.f32 n0_i (neg.f32 normAngle)) (*.f32 normAngle n1_i))
(fma.f32 normAngle n1_i (*.f32 (neg.f32 (*.f32 (neg.f32 n0_i) (cos.f32 normAngle))) (neg.f32 normAngle)))
(fma.f32 normAngle n1_i (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle)))
(fma.f32 n0_i (*.f32 (neg.f32 normAngle) (cos.f32 normAngle)) (*.f32 normAngle n1_i))
(fma.f32 n1_i normAngle (*.f32 (neg.f32 (*.f32 (neg.f32 n0_i) (cos.f32 normAngle))) (neg.f32 normAngle)))
(fma.f32 n1_i normAngle (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle)))
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(+.f32 (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle)) (*.f32 normAngle n1_i))
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(/.f32 (-.f32 (pow.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 n0_i n0_i)) (-.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (/.f32 u (sin.f32 normAngle))) n0_i))
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(-.f32 (/.f32 (pow.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (/.f32 u (sin.f32 normAngle))) n0_i)) (/.f32 (*.f32 n0_i n0_i) (-.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (/.f32 u (sin.f32 normAngle))) n0_i)))
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(fma.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (/.f32 u (sin.f32 normAngle)) n0_i)
(fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (pow.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (/.f32 u (sin.f32 normAngle))) #s(literal 3 binary32)) (fma.f32 n0_i (-.f32 n0_i (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (/.f32 u (sin.f32 normAngle)))) (pow.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32)))) (/.f32 (pow.f32 n0_i #s(literal 3 binary32)) (fma.f32 n0_i (-.f32 n0_i (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (/.f32 u (sin.f32 normAngle)))) (pow.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32)))))
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(fma.f32 (*.f32 (cos.f32 normAngle) n0_i) (/.f32 (neg.f32 normAngle) (sin.f32 normAngle)) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle)) (sin.f32 normAngle)))
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(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle)) (sin.f32 normAngle)))
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(/.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32))) (fma.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32))))
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(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) (-.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) #s(literal 2 binary32))) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)))
(/.f32 (+.f32 (pow.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))))))
(/.f32 (+.f32 (pow.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) (-.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))) (/.f32 (pow.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) #s(literal 2 binary32)) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))))
(-.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) n0_i))
(-.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) (*.f32 (sin.f32 (fma.f32 normAngle (-.f32 #s(literal 1 binary32) u) (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n0_i)))
(-.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) (*.f32 (neg.f32 n0_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))
(-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (neg.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) n1_i))
(fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n0_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 (neg.f32 (neg.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))) n1_i))
(fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n0_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(fma.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) n0_i (*.f32 (neg.f32 (neg.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))) n1_i))
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) n0_i (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (neg.f32 (neg.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))) n1_i))
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(fma.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (neg.f32 (neg.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))) n1_i))
(fma.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 (neg.f32 (neg.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))) n1_i))
(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n0_i) (*.f32 (neg.f32 (neg.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))) n1_i))
(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 (neg.f32 (neg.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))) n1_i))
(fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(fma.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(+.f32 (/.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32)) (fma.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) (-.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) #s(literal 3 binary32)) (fma.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) (-.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)))))
(+.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(+.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (neg.f32 (neg.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))) n1_i))
(+.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n0_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) n0_i)
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))
(*.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n0_i))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
(/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (-.f32 #s(literal 1 binary32) u) (PI.f32))) n0_i) (sin.f32 (neg.f32 normAngle)))
(/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (sin.f32 normAngle))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32))) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32))))
(*.f32 (fabs.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32))) (fabs.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32))))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) u))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))
(/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 #s(literal 1 binary32) u))
(/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) #s(literal 3 binary32)) (pow.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32)) #s(literal 3 binary32)))
(pow.f32 (exp.f32 (log.f32 (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 3/2 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))
(+.f32 (cosh.f32 (*.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))) (sinh.f32 (*.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))))
(exp.f32 (*.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3 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) (+.f32 #s(literal 1 binary32) u))
(/.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 #s(literal 1 binary32) u))
(/.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))))

eval101.0ms (1%)

Memory
-0.8MiB live, 222.3MiB allocated; 49ms collecting garbage
Compiler

Compiled 44 964 to 3 305 computations (92.6% saved)

prune61.0ms (0.6%)

Memory
-4.1MiB live, 106.3MiB allocated; 40ms collecting garbage
Pruning

25 alts after pruning (24 fresh and 1 done)

PrunedKeptTotal
New67724701
Fresh808
Picked415
Done000
Total68925714
Accuracy
100.0%
Counts
714 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
97.9%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 #s(literal 1 binary32) u)) n0_i (*.f32 n1_i u)))
85.1%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (*.f32 (+.f32 (fma.f32 (fma.f32 #s(literal -1/24 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i) normAngle)) (sin.f32 normAngle)) u n0_i))
85.1%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (*.f32 (+.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (neg.f32 n0_i)) n1_i) normAngle)) (sin.f32 normAngle)) u n0_i))
72.2%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (*.f32 normAngle n1_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)))
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 u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) n1_i) (neg.f32 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 u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 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 u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) n1_i) (neg.f32 n0_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 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 #s(literal -1 binary32) n0_i n1_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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 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) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i))
99.2%
#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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_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)) (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)))
36.2%
#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) (neg.f32 u)) n0_i (*.f32 n1_i u)))
81.0%
#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))))
72.6%
#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 #s(approx (* (- 1 u) normAngle) (-.f32 normAngle (*.f32 normAngle u)))) n0_i)) (sin.f32 normAngle)))
72.7%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (fma.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle)))
28.7%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) u) n0_i) (/.f32 (*.f32 (*.f32 normAngle n1_i) u) (sin.f32 normAngle))))
99.2%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) u) n0_i) (+.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u n0_i) (*.f32 (fma.f32 (*.f32 n0_i u) #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))) (*.f32 normAngle normAngle)))))
97.9%
#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 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i)))
36.2%
#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 #s(literal -1 binary32) n0_i n1_i) u)))
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 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) 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 u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) n1_i) (neg.f32 n0_i)) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32)))) u n0_i)))
60.0%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u) n0_i)))
Compiler

Compiled 2 758 to 1 616 computations (41.4% saved)

simplify219.0ms (2.1%)

Memory
5.5MiB live, 228.9MiB allocated; 70ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u)
cost-diff0
(*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u) n0_i)
cost-diff0
#s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #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 (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u) n0_i)))
cost-diff0
(fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 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 u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
cost-diff2
(fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32)))
cost-diff2
(-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i))
cost-diff0
(fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)
cost-diff0
(*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i)
cost-diff0
#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))
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 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i)))
cost-diff0
(*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u)
cost-diff0
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))
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 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u)))
cost-diff1
(fma.f32 #s(literal -1 binary32) n0_i n1_i)
cost-diff2
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))
cost-diff2
(fma.f32 #s(literal 1/2 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) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))))
cost-diff3
(-.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) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32))))
cost-diff5
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911118
01411118
13031087
29241011
34173922
08310883
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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 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) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i))
(fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 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) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i)
#s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 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) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i))
(+.f32 (fma.f32 (fma.f32 #s(literal 1/2 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) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)
(fma.f32 (fma.f32 #s(literal 1/2 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) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i))
(fma.f32 #s(literal 1/2 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) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))))
#s(literal 1/2 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) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_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) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32))))
(*.f32 #s(literal -1/24 binary32) n0_i)
#s(literal -1/24 binary32)
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))
(*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))
#s(literal 1/6 binary32)
(fma.f32 #s(literal -1 binary32) n0_i n1_i)
#s(literal -1 binary32)
n1_i
#s(literal -1/6 binary32)
(*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32))
#s(literal 1/120 binary32)
(*.f32 normAngle normAngle)
normAngle
(neg.f32 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 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u)))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))
(*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u)
(fma.f32 #s(literal -1 binary32) n0_i n1_i)
#s(literal -1 binary32)
n0_i
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 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 (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i))
(*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i)
(fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)
n0_i
(/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
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 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 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 u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 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 u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u)))
#s(literal -1/6 binary32)
#s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u))
(*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u)
(-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i))
(-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i)
(fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32)))
#s(literal -3 binary32)
n0_i
(*.f32 (*.f32 n0_i u) #s(literal 3 binary32))
(*.f32 n0_i u)
u
#s(literal 3 binary32)
n1_i
(neg.f32 n0_i)
(*.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)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u) n0_i)))
#s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u) n0_i))
(*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u) n0_i)
(-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u)
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle))
#s(literal -1/6 binary32)
(*.f32 normAngle normAngle)
normAngle
(-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32))
(+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) 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
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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 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) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (*.f32 (-.f32 n1_i n0_i) #s(literal -7/360 binary32))) (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
(fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 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) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i)
(fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (*.f32 (-.f32 n1_i n0_i) #s(literal -7/360 binary32))) (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)
#s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 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) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i))
#s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (*.f32 (-.f32 n1_i n0_i) #s(literal -7/360 binary32))) (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)))
(+.f32 (fma.f32 (fma.f32 #s(literal 1/2 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) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)
(fma.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (*.f32 (-.f32 n1_i n0_i) #s(literal -7/360 binary32))) (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))
(fma.f32 (fma.f32 #s(literal 1/2 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) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i))
(fma.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (*.f32 (-.f32 n1_i n0_i) #s(literal -7/360 binary32))) (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 normAngle normAngle) (neg.f32 n0_i))
(fma.f32 #s(literal 1/2 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) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))))
(fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (*.f32 (-.f32 n1_i n0_i) #s(literal -7/360 binary32))) (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32))))
#s(literal 1/2 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) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))
(fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (*.f32 (-.f32 n1_i n0_i) #s(literal -7/360 binary32))) (*.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) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32))))
(-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (*.f32 (-.f32 n1_i n0_i) #s(literal -7/360 binary32)))
(*.f32 #s(literal -1/24 binary32) n0_i)
#s(literal -1/24 binary32)
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))
(fma.f32 #s(literal -1/12 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal -7/360 binary32)))
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))
(fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))
(*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))
(*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))
#s(literal 1/6 binary32)
(fma.f32 #s(literal -1 binary32) n0_i n1_i)
(-.f32 n1_i n0_i)
#s(literal -1 binary32)
n1_i
#s(literal -1/6 binary32)
(*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_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
(neg.f32 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 (fma.f32 #s(literal -1 binary32) n0_i 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 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u))
(*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u)
(*.f32 (-.f32 n1_i n0_i) u)
(fma.f32 #s(literal -1 binary32) n0_i n1_i)
(-.f32 n1_i n0_i)
#s(literal -1 binary32)
n0_i
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 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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) 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 (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) n1_i))
(*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i)
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) n1_i)
(fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u)
n0_i
(/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
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 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (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 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -3 binary32)) n0_i n0_i) n1_i) u)) (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 u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 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 u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -3 binary32)) n0_i n0_i) n1_i) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
(*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u)))
(*.f32 #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -3 binary32)) n0_i n0_i) n1_i) u)) #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
#s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u))
#s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -3 binary32)) n0_i n0_i) n1_i) u))
(*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u)
(*.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -3 binary32)) n0_i n0_i) n1_i) u)
(-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i))
(-.f32 (fma.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -3 binary32)) n0_i n0_i) n1_i)
(-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i)
(-.f32 (*.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -3 binary32)) n0_i) n1_i)
(fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32)))
(*.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -3 binary32)) n0_i)
#s(literal -3 binary32)
n0_i
(*.f32 (*.f32 n0_i u) #s(literal 3 binary32))
(*.f32 n0_i u)
u
#s(literal 3 binary32)
n1_i
(neg.f32 n0_i)
(*.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)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #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 (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) #s(literal 1 binary32)) u) n0_i)))
#s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u) n0_i))
#s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) #s(literal 1 binary32)) u) n0_i))
(*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u) n0_i)
(*.f32 (-.f32 (fma.f32 (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) #s(literal 1 binary32)) u) n0_i)
(-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u)
(-.f32 (fma.f32 (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) #s(literal 1 binary32)) u)
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(*.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 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32))
(+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) 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

localize351.0ms (3.4%)

Memory
-3.8MiB live, 429.3MiB allocated; 83ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.19090901928482645
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u) n0_i)))
accuracy0.5853500976844203
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))
accuracy12.453565169314844
#s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u) n0_i))
accuracy13.233114036074841
(-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32))
accuracy0.26171875
(-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i))
accuracy0.30078125
(*.f32 (*.f32 n0_i u) #s(literal 3 binary32))
accuracy0.3828125
(*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u)))
accuracy4.073112915232055
#s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u))
accuracy0.15625
(/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)
accuracy0.171875
(fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)
accuracy0.171875
(*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i)
accuracy0.423368120243346
#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)))
accuracy0.0
(fma.f32 #s(literal -1 binary32) n0_i n1_i)
accuracy0.09375
(*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u)
accuracy0.423368120243346
#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 #s(literal -1 binary32) n0_i n1_i) u)))
accuracy19.792132345151348
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))
accuracy0.33203125
(*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))
accuracy0.42460644536884046
(-.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) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32))))
accuracy0.46875
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))
accuracy0.6435737793053261
(*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32))
Samples
203.0ms243×0valid
18.0ms5exit
10.0ms1valid
Compiler

Compiled 802 to 85 computations (89.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 203.0ms
ival-mult: 81.0ms (40% of total)
const: 54.0ms (26.7% of total)
ival-add: 20.0ms (9.9% of total)
adjust: 13.0ms (6.4% of total)
ival-sin: 10.0ms (4.9% of total)
ival-sub: 9.0ms (4.4% of total)
ival-div: 6.0ms (3% of total)
ival-pow: 5.0ms (2.5% of total)
ival-cos: 2.0ms (1% of total)
ival-neg: 2.0ms (1% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series158.0ms (1.5%)

Memory
7.6MiB live, 224.9MiB allocated; 62ms collecting garbage
Counts
28 → 258
Calls
Call 1
Inputs
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_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) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32))))
(fma.f32 #s(literal 1/2 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) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))))
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))
(fma.f32 #s(literal -1 binary32) n0_i 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 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u)))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))
(*.f32 (fma.f32 #s(literal -1 binary32) n0_i 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 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 (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i))
(*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i)
(fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)
(-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i))
(fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32)))
#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 u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 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 u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (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)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u) n0_i)))
#s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u) n0_i))
(*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u) n0_i)
(-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u)
(*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32))
(*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))
(/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)
#s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u))
(*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u)))
(*.f32 (*.f32 n0_i u) #s(literal 3 binary32))
(-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))
Outputs
(+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))
(+ (* 1/6 (+ n1_i (* -1 n0_i))) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i))))))))
(+ (* 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)))
(* n0_i (- 1 u))
(+ (* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) (* n0_i (- 1 u)))
(- 1 u)
(- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)
(* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i))))))
(* (pow normAngle 2) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (+ n1_i (* -1 n0_i)) (pow normAngle 2))) (* 1/2 (/ n0_i (pow normAngle 2))))) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i))))))
(+ (/ (* 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)))))
(* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))))
(* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))
(* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))
(* (pow normAngle 2) (- (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (/ 1 (pow normAngle 2))) (/ u (pow normAngle 2))))
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))))
(* u (+ n1_i (* -1 n0_i)))
(+ n0_i (* n1_i (* u (+ 1 (* -1 (/ n0_i n1_i))))))
(/ n0_i n1_i)
(+ (* u (+ 1 (* -1 (/ n0_i n1_i)))) (/ n0_i n1_i))
(- (+ n0_i (* -3 n0_i)) n1_i)
(- (+ n0_i (+ (* -3 n0_i) (* 3 (* n0_i u)))) n1_i)
(* -3 n0_i)
(+ (* -3 n0_i) (* 3 (* n0_i u)))
(+ 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 (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))))
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))))
(+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u))))))))
1
(+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))
(+ 1 (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)))
(+ 1 (* u (- (+ (* 1/3 (pow normAngle 2)) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u))))) 1)))
(/ 1 n1_i)
(+ (* -1 (/ u n1_i)) (/ 1 n1_i))
(* 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))))
(* -1/6 (* 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 u))
(* -2 u)
(* u (- (* 3 u) 2))
(* u (- (* u (+ 3 (* -1 u))) 2))
(+ 1 (* -3 u))
(+ 1 (* u (- (* 3 u) 3)))
(+ 1 (* u (- (* u (+ 3 (* -1 u))) 3)))
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(* n1_i (* u (+ 1 (* -1 (/ n0_i n1_i)))))
(* u (+ (* n1_i (+ 1 (* -1 (/ n0_i n1_i)))) (/ n0_i u)))
(* u (+ 1 (* -1 (/ n0_i n1_i))))
(* u (+ 1 (+ (* -1 (/ n0_i n1_i)) (/ n0_i (* n1_i u)))))
(* u (- (+ (* -3 (/ n0_i u)) (+ (* 3 n0_i) (/ n0_i u))) (/ n1_i u)))
(* u (+ (* -3 (/ n0_i u)) (* 3 n0_i)))
(* -1/6 (* (pow normAngle 2) (* (pow u 3) (+ n1_i (* -1 n0_i)))))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i))))))
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -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 (* n0_i (* (pow normAngle 2) (pow u 3))))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* 1/6 (* n0_i (pow normAngle 2)))))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2)))))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 3)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2))))))
(* 1/6 (* (pow normAngle 2) (pow u 3)))
(* (pow u 3) (+ (* -1/2 (/ (pow normAngle 2) u)) (* 1/6 (pow normAngle 2))))
(* (pow u 3) (- (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* 1/6 (pow normAngle 2)) (* 1/3 (/ (pow normAngle 2) (pow u 2))))) (/ 1 (pow u 2))))
(* (pow u 3) (- (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3))))) (/ 1 (pow u 2))))
(* -1 (/ u n1_i))
(* u (- (/ 1 (* n1_i u)) (/ 1 n1_i)))
(* (pow u 3) (+ n1_i (* -1 n0_i)))
(* (pow u 3) (+ n1_i (+ (* -1 n0_i) (* 3 (/ n0_i u)))))
(* (pow u 3) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (* 3 (/ n0_i u))))) (+ (* -1 (/ n0_i (pow u 2))) (/ 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))))))
(* -1 (pow u 3))
(* (pow u 3) (- (* 3 (/ 1 u)) 1))
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 2 (pow u 2)))))
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2)))))
(* (pow u 3) (- (+ (* 3 (/ 1 u)) (/ 1 (pow u 3))) (+ 1 (/ 3 (pow u 2)))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(* -1 (* u (+ n0_i (* -1 n1_i))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(* -1 (* n1_i (* u (- (/ n0_i n1_i) 1))))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* n1_i (- (/ n0_i n1_i) 1)))))
(* -1 (* u (- (/ n0_i n1_i) 1)))
(* -1 (* u (- (+ (* -1 (/ n0_i (* n1_i u))) (/ n0_i n1_i)) 1)))
(* -1 (* u (+ (* -3 n0_i) (* -1 (/ (- (+ n0_i (* -3 n0_i)) n1_i) u)))))
(* -1 (* u (+ (* -3 n0_i) (* 3 (/ n0_i u)))))
(* 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 (* (pow u 3) (+ (* -1/6 (* n0_i (pow normAngle 2))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (* n0_i (+ 1 (* -1/3 (pow normAngle 2)))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ n0_i u)) (* n0_i (+ 1 (* -1/3 (pow normAngle 2))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))
(* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/2 (/ (pow normAngle 2) u)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/3 (pow normAngle 2))) u)) (* -1/2 (pow normAngle 2))) u)) (* -1/6 (pow normAngle 2)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) u)) (* -1/2 (pow normAngle 2))) u)) (* -1/6 (pow normAngle 2)))))
(* -1 (* u (- (/ 1 n1_i) (/ 1 (* n1_i u)))))
(* -1 (* (pow u 3) (+ n0_i (* -1 n1_i))))
(* -1 (* (pow u 3) (+ n0_i (+ (* -3 (/ n0_i u)) (* -1 n1_i)))))
(* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ (* -1 (/ (- (* 3 n0_i) (+ n0_i (* -1 n1_i))) u)) (* 3 n0_i)) 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 (* (pow u 3) (- 1 (* 3 (/ 1 u)))))
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 2 (/ 1 u))) u)))))
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u)))))
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 3 (/ 1 u)) u))) u)))))
(+ (* -1/36 n1_i) (* 1/120 n1_i))
(+ (* -23/360 n0_i) (+ (* -1/36 n1_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 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i))
(+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* 1/45 (pow normAngle 2))))))
(* 1/6 n1_i)
(+ (* 1/6 n1_i) (* 1/3 n0_i))
n1_i
(+ n1_i (* -1 n0_i))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(* n1_i u)
(+ (* -1 (* n0_i u)) (* n1_i u))
(+ (* n0_i (* n1_i (- (/ 1 n1_i) (/ u n1_i)))) (* n1_i u))
u
(+ u (* n0_i (- (/ 1 n1_i) (/ u n1_i))))
(* -1 n1_i)
(- (* n0_i (- (* 3 u) 2)) n1_i)
(* n0_i (- (* 3 u) 3))
(+ (* -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)))
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u))
(* 1/120 n1_i)
(+ (* -1/120 n0_i) (* 1/120 n1_i))
(+ (* -1/6 n0_i) (* 1/6 n1_i))
(- (* n1_i (pow u 3)) (* n1_i u))
(- (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (pow u 3))) (* 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))))
(* -23/360 n0_i)
(* n0_i (- (+ (* -1/36 (/ n1_i n0_i)) (* 1/120 (/ n1_i n0_i))) 23/360))
(* 1/45 n0_i)
(* n0_i (+ 1/45 (* -1 (/ (+ (* -1/36 n1_i) (* 1/120 n1_i)) n0_i))))
(* n0_i (+ 1/3 (* 1/45 (pow normAngle 2))))
(* n0_i (+ 1/3 (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i))) n0_i)) (+ (* 1/45 (pow normAngle 2)) (* 1/6 (/ n1_i n0_i))))))
(* 1/3 n0_i)
(* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))
(* -1 n0_i)
(* n0_i (- (/ n1_i n0_i) 1))
(/ (* 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 (/ (* n1_i u) n0_i)) u))
(* -1 (* n0_i u))
(* n0_i (+ (* -1 u) (/ (* n1_i u) n0_i)))
(* n0_i (* n1_i (- (/ 1 n1_i) (/ u n1_i))))
(* n0_i (+ (* n1_i (- (/ 1 n1_i) (/ u n1_i))) (/ (* n1_i u) n0_i)))
(* n0_i (- (/ 1 n1_i) (/ u n1_i)))
(* n0_i (- (+ (/ 1 n1_i) (/ u n0_i)) (/ u n1_i)))
(* n0_i (- (* 3 u) 2))
(* n0_i (- (+ (* -1 (/ n1_i n0_i)) (* 3 u)) 2))
(* 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))
(* -1/6 n0_i)
(* n0_i (- (* 1/6 (/ n1_i n0_i)) 1/6))
(* 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))))
(* -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 (+ 23/360 (* -1 (/ (+ (* -1/36 n1_i) (* 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 (- (* -1/45 (pow normAngle 2)) 1/3)))
(* -1 (* n0_i (- (+ (* -1 (/ (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i)) n0_i)) (* -1/45 (pow normAngle 2))) 1/3)))
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))
(* -1 (* n0_i (+ 1 (* -1 (/ 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 (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ u (* -1 (/ (* n1_i u) n0_i)))))
(/ (* n0_i (- 1 u)) n1_i)
(* -1 (* n0_i (+ (* -1 (/ u n0_i)) (* -1 (/ (- 1 u) n1_i)))))
(* -1 (* n0_i (+ 2 (* -3 u))))
(* -1 (* n0_i (+ 2 (+ (* -3 u) (/ n1_i n0_i)))))
(* -1 (* n0_i (+ 3 (* -3 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 (+ 1/6 (* -1/6 (/ n1_i 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)))))
(* 1/6 (* 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)))))
(+ (* -1/6 (+ (* -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)))
(- (* -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) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))))))
(+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (+ (* n1_i (+ 1/6 (* 7/360 (pow normAngle 2)))) (* (pow normAngle 2) (- (* -1/24 n0_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 (- 1 u)) (* n1_i u)) n1_i)
(+ n0_i (+ (* -3 n0_i) (* 3 (* n0_i u))))
(+ n0_i (+ (* -3 n0_i) (+ (* -1 n1_i) (* 3 (* n0_i 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)))))))
(/ (- 1 u) n1_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)))
(* -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)))))
(* -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))
(* 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 (* 7/360 (pow normAngle 2))))
(* n1_i (+ 1/6 (+ (* -1/6 (/ n0_i n1_i)) (+ (* 7/360 (pow normAngle 2)) (+ (* 1/2 (/ n0_i n1_i)) (/ (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))) n1_i))))))
(* n1_i (+ 1/6 (+ (* -1/6 (/ n0_i n1_i)) (* 1/2 (/ n0_i n1_i)))))
(* n1_i (+ 1 (* -1 (/ n0_i n1_i))))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(* n1_i (+ u (* -1 (/ (* n0_i u) n1_i))))
(+ u (/ (* n0_i (- 1 u)) n1_i))
(* n1_i (- (+ (* -3 (/ n0_i n1_i)) (+ (* 3 (/ (* n0_i u) n1_i)) (/ n0_i n1_i))) 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)))))
(* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i))))
(* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i))))
(* 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))))
(* -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 (+ 7/360 (* -1 (/ (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)) 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 (- (* -7/360 (pow normAngle 2)) 1/6)))
(* -1 (* n1_i (- (+ (* -1 (/ (+ (* -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)) (* -7/360 (pow normAngle 2))) 1/6)))
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) 1/6)))
(* -1 (* n1_i (- (/ n0_i n1_i) 1)))
(* -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 (/ (* n0_i (- 1 u)) n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (/ (* n0_i u) n1_i))))
(* -1 (* n1_i (+ 1 (* -1 (/ (+ n0_i (+ (* -3 n0_i) (* 3 (* n0_i u)))) n1_i)))))
(* -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 (- (* 1/6 (/ n0_i n1_i)) 1/6)))
(* -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))))
(* 1/6 (* 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
51.0ms
normAngle
@-inf
((+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (+ (* -1 n0_i) 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 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)) (* (+ (* n0_i (/ (- 1 u) n1_i)) u) n1_i) (+ (* n0_i (/ (- 1 u) n1_i)) u) (- (- (+ (* -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (+ (* -3 n0_i) (* (* n0_i u) 3)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_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)) (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) n0_i) (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (* (+ (* -1 n0_i) n1_i) 1/120) (* 1/6 (+ (* -1 n0_i) n1_i)) (/ (- 1 u) n1_i) (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* (* n0_i u) 3) (- (+ (pow (- 1 u) 3) u) 1) (pow (- 1 u) 3))
33.0ms
n0_i
@-inf
((+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (+ (* -1 n0_i) 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 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)) (* (+ (* n0_i (/ (- 1 u) n1_i)) u) n1_i) (+ (* n0_i (/ (- 1 u) n1_i)) u) (- (- (+ (* -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (+ (* -3 n0_i) (* (* n0_i u) 3)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_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)) (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) n0_i) (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (* (+ (* -1 n0_i) n1_i) 1/120) (* 1/6 (+ (* -1 n0_i) n1_i)) (/ (- 1 u) n1_i) (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* (* n0_i u) 3) (- (+ (pow (- 1 u) 3) u) 1) (pow (- 1 u) 3))
23.0ms
n0_i
@0
((+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (+ (* -1 n0_i) 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 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)) (* (+ (* n0_i (/ (- 1 u) n1_i)) u) n1_i) (+ (* n0_i (/ (- 1 u) n1_i)) u) (- (- (+ (* -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (+ (* -3 n0_i) (* (* n0_i u) 3)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_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)) (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) n0_i) (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (* (+ (* -1 n0_i) n1_i) 1/120) (* 1/6 (+ (* -1 n0_i) n1_i)) (/ (- 1 u) n1_i) (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* (* n0_i u) 3) (- (+ (pow (- 1 u) 3) u) 1) (pow (- 1 u) 3))
7.0ms
n0_i
@inf
((+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (+ (* -1 n0_i) 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 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)) (* (+ (* n0_i (/ (- 1 u) n1_i)) u) n1_i) (+ (* n0_i (/ (- 1 u) n1_i)) u) (- (- (+ (* -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (+ (* -3 n0_i) (* (* n0_i u) 3)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_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)) (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) n0_i) (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (* (+ (* -1 n0_i) n1_i) 1/120) (* 1/6 (+ (* -1 n0_i) n1_i)) (/ (- 1 u) n1_i) (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* (* n0_i u) 3) (- (+ (pow (- 1 u) 3) u) 1) (pow (- 1 u) 3))
6.0ms
n1_i
@-inf
((+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (+ (* -1 n0_i) 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 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)) (* (+ (* n0_i (/ (- 1 u) n1_i)) u) n1_i) (+ (* n0_i (/ (- 1 u) n1_i)) u) (- (- (+ (* -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (+ (* -3 n0_i) (* (* n0_i u) 3)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_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)) (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) n0_i) (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (* (+ (* -1 n0_i) n1_i) 1/120) (* 1/6 (+ (* -1 n0_i) n1_i)) (/ (- 1 u) n1_i) (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* (* n0_i u) 3) (- (+ (pow (- 1 u) 3) u) 1) (pow (- 1 u) 3))

simplify206.0ms (2%)

Memory
-25.6MiB live, 344.4MiB allocated; 68ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09664493
134574427
082294165
Stop Event
iter limit
node limit
Counts
258 → 255
Calls
Call 1
Inputs
(+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))
(+ (* 1/6 (+ n1_i (* -1 n0_i))) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i))))))))
(+ (* 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)))
(* n0_i (- 1 u))
(+ (* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) (* n0_i (- 1 u)))
(- 1 u)
(- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)
(* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i))))))
(* (pow normAngle 2) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (+ n1_i (* -1 n0_i)) (pow normAngle 2))) (* 1/2 (/ n0_i (pow normAngle 2))))) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i))))))
(+ (/ (* 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)))))
(* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))))
(* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))
(* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))
(* (pow normAngle 2) (- (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (/ 1 (pow normAngle 2))) (/ u (pow normAngle 2))))
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))))
(* u (+ n1_i (* -1 n0_i)))
(+ n0_i (* n1_i (* u (+ 1 (* -1 (/ n0_i n1_i))))))
(/ n0_i n1_i)
(+ (* u (+ 1 (* -1 (/ n0_i n1_i)))) (/ n0_i n1_i))
(- (+ n0_i (* -3 n0_i)) n1_i)
(- (+ n0_i (+ (* -3 n0_i) (* 3 (* n0_i u)))) n1_i)
(* -3 n0_i)
(+ (* -3 n0_i) (* 3 (* n0_i u)))
(+ 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 (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))))
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))))
(+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u))))))))
1
(+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))
(+ 1 (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)))
(+ 1 (* u (- (+ (* 1/3 (pow normAngle 2)) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u))))) 1)))
(/ 1 n1_i)
(+ (* -1 (/ u n1_i)) (/ 1 n1_i))
(* 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))))
(* -1/6 (* 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 u))
(* -2 u)
(* u (- (* 3 u) 2))
(* u (- (* u (+ 3 (* -1 u))) 2))
(+ 1 (* -3 u))
(+ 1 (* u (- (* 3 u) 3)))
(+ 1 (* u (- (* u (+ 3 (* -1 u))) 3)))
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(* n1_i (* u (+ 1 (* -1 (/ n0_i n1_i)))))
(* u (+ (* n1_i (+ 1 (* -1 (/ n0_i n1_i)))) (/ n0_i u)))
(* u (+ 1 (* -1 (/ n0_i n1_i))))
(* u (+ 1 (+ (* -1 (/ n0_i n1_i)) (/ n0_i (* n1_i u)))))
(* u (- (+ (* -3 (/ n0_i u)) (+ (* 3 n0_i) (/ n0_i u))) (/ n1_i u)))
(* u (+ (* -3 (/ n0_i u)) (* 3 n0_i)))
(* -1/6 (* (pow normAngle 2) (* (pow u 3) (+ n1_i (* -1 n0_i)))))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i))))))
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -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 (* n0_i (* (pow normAngle 2) (pow u 3))))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* 1/6 (* n0_i (pow normAngle 2)))))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2)))))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 3)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2))))))
(* 1/6 (* (pow normAngle 2) (pow u 3)))
(* (pow u 3) (+ (* -1/2 (/ (pow normAngle 2) u)) (* 1/6 (pow normAngle 2))))
(* (pow u 3) (- (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* 1/6 (pow normAngle 2)) (* 1/3 (/ (pow normAngle 2) (pow u 2))))) (/ 1 (pow u 2))))
(* (pow u 3) (- (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3))))) (/ 1 (pow u 2))))
(* -1 (/ u n1_i))
(* u (- (/ 1 (* n1_i u)) (/ 1 n1_i)))
(* (pow u 3) (+ n1_i (* -1 n0_i)))
(* (pow u 3) (+ n1_i (+ (* -1 n0_i) (* 3 (/ n0_i u)))))
(* (pow u 3) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (* 3 (/ n0_i u))))) (+ (* -1 (/ n0_i (pow u 2))) (/ 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))))))
(* -1 (pow u 3))
(* (pow u 3) (- (* 3 (/ 1 u)) 1))
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 2 (pow u 2)))))
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2)))))
(* (pow u 3) (- (+ (* 3 (/ 1 u)) (/ 1 (pow u 3))) (+ 1 (/ 3 (pow u 2)))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(* -1 (* u (+ n0_i (* -1 n1_i))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(* -1 (* n1_i (* u (- (/ n0_i n1_i) 1))))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* n1_i (- (/ n0_i n1_i) 1)))))
(* -1 (* u (- (/ n0_i n1_i) 1)))
(* -1 (* u (- (+ (* -1 (/ n0_i (* n1_i u))) (/ n0_i n1_i)) 1)))
(* -1 (* u (+ (* -3 n0_i) (* -1 (/ (- (+ n0_i (* -3 n0_i)) n1_i) u)))))
(* -1 (* u (+ (* -3 n0_i) (* 3 (/ n0_i u)))))
(* 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 (* (pow u 3) (+ (* -1/6 (* n0_i (pow normAngle 2))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (* n0_i (+ 1 (* -1/3 (pow normAngle 2)))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ n0_i u)) (* n0_i (+ 1 (* -1/3 (pow normAngle 2))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))
(* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/2 (/ (pow normAngle 2) u)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/3 (pow normAngle 2))) u)) (* -1/2 (pow normAngle 2))) u)) (* -1/6 (pow normAngle 2)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) u)) (* -1/2 (pow normAngle 2))) u)) (* -1/6 (pow normAngle 2)))))
(* -1 (* u (- (/ 1 n1_i) (/ 1 (* n1_i u)))))
(* -1 (* (pow u 3) (+ n0_i (* -1 n1_i))))
(* -1 (* (pow u 3) (+ n0_i (+ (* -3 (/ n0_i u)) (* -1 n1_i)))))
(* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ (* -1 (/ (- (* 3 n0_i) (+ n0_i (* -1 n1_i))) u)) (* 3 n0_i)) 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 (* (pow u 3) (- 1 (* 3 (/ 1 u)))))
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 2 (/ 1 u))) u)))))
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u)))))
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 3 (/ 1 u)) u))) u)))))
(+ (* -1/36 n1_i) (* 1/120 n1_i))
(+ (* -23/360 n0_i) (+ (* -1/36 n1_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 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i))
(+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* 1/45 (pow normAngle 2))))))
(* 1/6 n1_i)
(+ (* 1/6 n1_i) (* 1/3 n0_i))
n1_i
(+ n1_i (* -1 n0_i))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(* n1_i u)
(+ (* -1 (* n0_i u)) (* n1_i u))
(+ (* n0_i (* n1_i (- (/ 1 n1_i) (/ u n1_i)))) (* n1_i u))
u
(+ u (* n0_i (- (/ 1 n1_i) (/ u n1_i))))
(* -1 n1_i)
(- (* n0_i (- (* 3 u) 2)) n1_i)
(* n0_i (- (* 3 u) 3))
(+ (* -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)))
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u))
(* 1/120 n1_i)
(+ (* -1/120 n0_i) (* 1/120 n1_i))
(+ (* -1/6 n0_i) (* 1/6 n1_i))
(- (* n1_i (pow u 3)) (* n1_i u))
(- (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (pow u 3))) (* 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))))
(* -23/360 n0_i)
(* n0_i (- (+ (* -1/36 (/ n1_i n0_i)) (* 1/120 (/ n1_i n0_i))) 23/360))
(* 1/45 n0_i)
(* n0_i (+ 1/45 (* -1 (/ (+ (* -1/36 n1_i) (* 1/120 n1_i)) n0_i))))
(* n0_i (+ 1/3 (* 1/45 (pow normAngle 2))))
(* n0_i (+ 1/3 (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i))) n0_i)) (+ (* 1/45 (pow normAngle 2)) (* 1/6 (/ n1_i n0_i))))))
(* 1/3 n0_i)
(* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))
(* -1 n0_i)
(* n0_i (- (/ n1_i n0_i) 1))
(/ (* 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 (/ (* n1_i u) n0_i)) u))
(* -1 (* n0_i u))
(* n0_i (+ (* -1 u) (/ (* n1_i u) n0_i)))
(* n0_i (* n1_i (- (/ 1 n1_i) (/ u n1_i))))
(* n0_i (+ (* n1_i (- (/ 1 n1_i) (/ u n1_i))) (/ (* n1_i u) n0_i)))
(* n0_i (- (/ 1 n1_i) (/ u n1_i)))
(* n0_i (- (+ (/ 1 n1_i) (/ u n0_i)) (/ u n1_i)))
(* n0_i (- (* 3 u) 2))
(* n0_i (- (+ (* -1 (/ n1_i n0_i)) (* 3 u)) 2))
(* 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))
(* -1/6 n0_i)
(* n0_i (- (* 1/6 (/ n1_i n0_i)) 1/6))
(* 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))))
(* -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 (+ 23/360 (* -1 (/ (+ (* -1/36 n1_i) (* 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 (- (* -1/45 (pow normAngle 2)) 1/3)))
(* -1 (* n0_i (- (+ (* -1 (/ (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i)) n0_i)) (* -1/45 (pow normAngle 2))) 1/3)))
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))
(* -1 (* n0_i (+ 1 (* -1 (/ 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 (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ u (* -1 (/ (* n1_i u) n0_i)))))
(/ (* n0_i (- 1 u)) n1_i)
(* -1 (* n0_i (+ (* -1 (/ u n0_i)) (* -1 (/ (- 1 u) n1_i)))))
(* -1 (* n0_i (+ 2 (* -3 u))))
(* -1 (* n0_i (+ 2 (+ (* -3 u) (/ n1_i n0_i)))))
(* -1 (* n0_i (+ 3 (* -3 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 (+ 1/6 (* -1/6 (/ n1_i 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)))))
(* 1/6 (* 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)))))
(+ (* -1/6 (+ (* -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)))
(- (* -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) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))))))
(+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (+ (* n1_i (+ 1/6 (* 7/360 (pow normAngle 2)))) (* (pow normAngle 2) (- (* -1/24 n0_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 (- 1 u)) (* n1_i u)) n1_i)
(+ n0_i (+ (* -3 n0_i) (* 3 (* n0_i u))))
(+ n0_i (+ (* -3 n0_i) (+ (* -1 n1_i) (* 3 (* n0_i 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)))))))
(/ (- 1 u) n1_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)))
(* -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)))))
(* -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))
(* 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 (* 7/360 (pow normAngle 2))))
(* n1_i (+ 1/6 (+ (* -1/6 (/ n0_i n1_i)) (+ (* 7/360 (pow normAngle 2)) (+ (* 1/2 (/ n0_i n1_i)) (/ (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))) n1_i))))))
(* n1_i (+ 1/6 (+ (* -1/6 (/ n0_i n1_i)) (* 1/2 (/ n0_i n1_i)))))
(* n1_i (+ 1 (* -1 (/ n0_i n1_i))))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(* n1_i (+ u (* -1 (/ (* n0_i u) n1_i))))
(+ u (/ (* n0_i (- 1 u)) n1_i))
(* n1_i (- (+ (* -3 (/ n0_i n1_i)) (+ (* 3 (/ (* n0_i u) n1_i)) (/ n0_i n1_i))) 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)))))
(* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i))))
(* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i))))
(* 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))))
(* -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 (+ 7/360 (* -1 (/ (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)) 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 (- (* -7/360 (pow normAngle 2)) 1/6)))
(* -1 (* n1_i (- (+ (* -1 (/ (+ (* -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)) (* -7/360 (pow normAngle 2))) 1/6)))
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) 1/6)))
(* -1 (* n1_i (- (/ n0_i n1_i) 1)))
(* -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 (/ (* n0_i (- 1 u)) n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (/ (* n0_i u) n1_i))))
(* -1 (* n1_i (+ 1 (* -1 (/ (+ n0_i (+ (* -3 n0_i) (* 3 (* n0_i u)))) n1_i)))))
(* -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 (- (* 1/6 (/ n0_i n1_i)) 1/6)))
(* -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))))
(* 1/6 (* 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
(+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32)))
(+ (* 1/6 (+ n1_i (* -1 n0_i))) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i))))))))
(fma.f32 (fma.f32 #s(literal -1 binary32) n1_i n0_i) #s(literal -1/6 binary32) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i) (*.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32))) #s(literal -1/6 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/2 binary32) n0_i)))
(+ (* 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 #s(literal 1 binary32) u) n0_i (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)) (*.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)))) (*.f32 normAngle normAngle) (*.f32 u n1_i)))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (fma.f32 (-.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)) (*.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i))) (fma.f32 (*.f32 (*.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)) #s(literal -1/6 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) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)))))) (*.f32 normAngle normAngle))) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)))) (*.f32 normAngle normAngle) (*.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 (-.f32 #s(literal 1 binary32) u) n0_i (fma.f32 (-.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)) (*.f32 (-.f32 (fma.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i)) (*.f32 (-.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 7 binary32)) n1_i))) (fma.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 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)) #s(literal -1/6 binary32)))) #s(literal -1/6 binary32) (fma.f32 (-.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 u n1_i)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 #s(literal -1/5040 binary32) n0_i) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 #s(literal -1/5040 binary32) n1_i) 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 (*.f32 (*.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)) #s(literal -1/6 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) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)))))) (*.f32 normAngle normAngle))) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)))) (*.f32 normAngle normAngle) (*.f32 u n1_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 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i))) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)))
(* n0_i (- 1 u))
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
(+ (* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) (* n0_i (- 1 u)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) (*.f32 normAngle normAngle)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(- 1 u)
(-.f32 #s(literal 1 binary32) u)
(- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)
(-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u)
(* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i))))))
(*.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i) (*.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32))) #s(literal -1/6 binary32)))) (*.f32 normAngle normAngle))
(* (pow normAngle 2) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (+ n1_i (* -1 n0_i)) (pow normAngle 2))) (* 1/2 (/ n0_i (pow normAngle 2))))) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i))))))
(*.f32 (-.f32 (fma.f32 #s(literal -1/24 binary32) n0_i (/.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32))) (*.f32 normAngle normAngle))) (fma.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i) (*.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32))) #s(literal -1/6 binary32)))) (*.f32 normAngle normAngle))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) 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 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i))))
(* (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 (-.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i))) #s(literal -1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle))
(* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))))
(*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) (*.f32 normAngle normAngle)))
(* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) normAngle) (/.f32 n0_i normAngle) (*.f32 (*.f32 (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) n0_i) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle))
(* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))
(*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)))
(* (pow normAngle 2) (- (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (/ 1 (pow normAngle 2))) (/ u (pow normAngle 2))))
(*.f32 (fma.f32 (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal -1/6 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 (/.f32 (fma.f32 normAngle n1_i (*.f32 #s(literal -1 binary32) (*.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 (neg.f32 n0_i) (/.f32 (*.f32 (cos.f32 normAngle) normAngle) (sin.f32 normAngle)) (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))) u n0_i)
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(* -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)))
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(* -1 (* n1_i (- (* -7/360 (pow normAngle 2)) 1/6)))
(*.f32 (-.f32 (*.f32 #s(literal -7/360 binary32) (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) (neg.f32 n1_i))
(* -1 (* n1_i (- (+ (* -1 (/ (+ (* -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)) (* -7/360 (pow normAngle 2))) 1/6)))
(*.f32 (-.f32 (fma.f32 #s(literal -7/360 binary32) (*.f32 normAngle normAngle) (/.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (*.f32 #s(literal 1/3 binary32) n0_i) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) n0_i))) (*.f32 normAngle normAngle))) (neg.f32 n1_i))) #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 (- (/ n0_i n1_i) 1)))
(*.f32 (-.f32 (/.f32 n0_i n1_i) #s(literal 1 binary32)) (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 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) n1_i) (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(*.f32 (neg.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u)) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 u) (/ (* n0_i u) n1_i))))
(*.f32 (fma.f32 n0_i (/.f32 u n1_i) (neg.f32 u)) (neg.f32 n1_i))
(* -1 (* n1_i (+ 1 (* -1 (/ (+ n0_i (+ (* -3 n0_i) (* 3 (* n0_i u)))) n1_i)))))
(*.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) n0_i (*.f32 (*.f32 u n0_i) #s(literal 3 binary32))) n1_i) #s(literal -1 binary32) #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 (*.f32 #s(literal -1 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.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 #s(literal -1 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (/.f32 (fma.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)) #s(literal -1/6 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) (neg.f32 n1_i)))) (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 (- (* 1/6 (/ 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 (pow u 3)) (* -1 u))))
(*.f32 (*.f32 #s(literal -1 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (neg.f32 n1_i))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)) (* -1 (pow u 3))) (* -1 u))))
(*.f32 (-.f32 (neg.f32 (+.f32 (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 u)) (neg.f32 n1_i))
(* 1/6 (* n1_i (- (* -1 (pow u 3)) (* -1 u))))
(*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (-.f32 (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 (fma.f32 (/.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) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) #s(literal -1/6 binary32))) (neg.f32 n1_i))

rewrite198.0ms (1.9%)

Memory
14.4MiB live, 361.0MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079674
0124674
1512652
04566634
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
28 → 389
Calls
Call 1
Inputs
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_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) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32))))
(fma.f32 #s(literal 1/2 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) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))))
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))
(fma.f32 #s(literal -1 binary32) n0_i 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 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u)))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))
(*.f32 (fma.f32 #s(literal -1 binary32) n0_i 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 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 (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i))
(*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i)
(fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)
(-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i))
(fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32)))
#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 u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 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 u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (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)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u) n0_i)))
#s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u) n0_i))
(*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u) n0_i)
(-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u)
(*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32))
(*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))
(/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)
#s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u))
(*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u)))
(*.f32 (*.f32 n0_i u) #s(literal 3 binary32))
(-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))
Outputs
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) #s(literal 2 binary32)) (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32)))) #s(literal 2 binary32))) (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_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 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32)))) #s(literal 3 binary32)) (pow.f32 (neg.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32)))) (neg.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32)))) #s(literal 2 binary32)) (pow.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) #s(literal 2 binary32)))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32))) (*.f32 #s(literal -1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/1728000 binary32) (pow.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32)))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32))))) (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32)))) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32)))) #s(literal 2 binary32)) (pow.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32))) (*.f32 #s(literal -1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))))
(/.f32 (fma.f32 #s(literal 1/1728000 binary32) (pow.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_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 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32)))) #s(literal 1/120 binary32)) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))))
(/.f32 (fma.f32 #s(literal 1/1728000 binary32) (pow.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32)))) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32))))) (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32)))) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_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 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32))) (*.f32 #s(literal -1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (/.f32 (pow.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32))) (*.f32 #s(literal -1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))))
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(/.f32 (neg.f32 (-.f32 (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (+.f32 (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u))))
(/.f32 (-.f32 (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal -1 binary32)))
(/.f32 (-.f32 (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u)))
(-.f32 (/.f32 (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 2 binary32)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal -1 binary32))))
(-.f32 (/.f32 (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 3 binary32)) (+.f32 (+.f32 (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u))))
(-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32))
(fma.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32))) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32))) (-.f32 u #s(literal 1 binary32)))
(fma.f32 (fabs.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32))) (fabs.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32))) (-.f32 u #s(literal 1 binary32)))
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32)) (-.f32 u #s(literal 1 binary32)))
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u) (-.f32 u #s(literal 1 binary32)))
(fma.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 u #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal -1 binary32))
(+.f32 (-.f32 u #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))
(+.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal -1 binary32))
(+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 u #s(literal 1 binary32)))
(+.f32 u (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 1 binary32)))
(*.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32))) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32))))
(*.f32 (fabs.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32))) (fabs.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32))))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (+.f32 u #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))
(/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 u #s(literal 1 binary32)))
(/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) #s(literal 3 binary32)) (pow.f32 (+.f32 u #s(literal 1 binary32)) #s(literal 3 binary32)))
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) #s(literal 3 binary32)) (pow.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32)) #s(literal 3 binary32)))
(pow.f32 (exp.f32 (log.f32 (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 3/2 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))
(+.f32 (cosh.f32 (*.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))) (sinh.f32 (*.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))))
(exp.f32 (*.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)))

eval172.0ms (1.7%)

Memory
-4.8MiB live, 327.1MiB allocated; 32ms collecting garbage
Compiler

Compiled 64 043 to 5 443 computations (91.5% saved)

prune52.0ms (0.5%)

Memory
-14.3MiB live, 130.9MiB allocated; 9ms collecting garbage
Pruning

33 alts after pruning (31 fresh and 2 done)

PrunedKeptTotal
New70120721
Fresh81119
Picked415
Done011
Total71333746
Accuracy
100.0%
Counts
746 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
85.1%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (*.f32 (+.f32 (fma.f32 (fma.f32 #s(literal -1/24 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i) normAngle)) (sin.f32 normAngle)) u n0_i))
85.1%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (*.f32 (+.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (neg.f32 n0_i)) n1_i) normAngle)) (sin.f32 normAngle)) u n0_i))
72.2%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (*.f32 normAngle n1_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)))
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 u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) n1_i) (neg.f32 n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
98.4%
#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 u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (- (+ (* -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (*.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -2 binary32)) n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
98.7%
#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 u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (- (+ (* -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (neg.f32 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 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) u n0_i))
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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i))
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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (fma.f32 (*.f32 #s(literal 7/360 binary32) n1_i) (*.f32 normAngle normAngle) (fma.f32 (fma.f32 #s(literal 1/45 binary32) (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) n0_i (*.f32 #s(literal 1/6 binary32) n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 1/45 binary32) (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) n0_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i))
99.2%
#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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i))
36.2%
#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) (neg.f32 u)) n0_i (*.f32 n1_i u)))
81.0%
#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))))
72.6%
#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 #s(approx (* (- 1 u) normAngle) (-.f32 normAngle (*.f32 normAngle u)))) n0_i)) (sin.f32 normAngle)))
60.1%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))))
28.7%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) u) n0_i) (/.f32 (*.f32 (*.f32 normAngle n1_i) u) (sin.f32 normAngle))))
32.4%
#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 (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)) u) (-.f32 (neg.f32 n0_i) n1_i))))
97.9%
#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 (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 n0_i n1_i) u) n1_i)))
97.9%
#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 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i)))
36.2%
#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 (neg.f32 n0_i) n1_i) u)))
37.9%
#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 u n1_i)))
35.9%
#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)) #s(approx (* (+ (* -1 n0_i) n1_i) u) (*.f32 (fma.f32 n1_i (/.f32 u n0_i) (neg.f32 u)) n0_i))))
60.0%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) #s(approx (- (+ (pow (- 1 u) 3) u) 1) (*.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) u #s(literal 3 binary32)) u #s(literal -2 binary32)) u)) #s(literal 1 binary32)) u) n0_i)))
60.0%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) #s(approx (- (+ (pow (- 1 u) 3) u) 1) (*.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -2 binary32)) u)) #s(literal 1 binary32)) u) n0_i)))
60.1%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (fma.f32 (-.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32))) #s(literal 1 binary32)) u #s(literal 1 binary32))) n0_i)))
60.0%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) u #s(literal 1 binary32))) n0_i)))
59.9%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (-.f32 #s(literal 1 binary32) u)) n0_i)))
46.6%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i)))
Compiler

Compiled 4 382 to 2 477 computations (43.5% saved)

simplify163.0ms (1.6%)

Memory
9.9MiB live, 247.7MiB allocated; 38ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i))
cost-diff1
(fma.f32 #s(literal -1 binary32) n0_i n1_i)
cost-diff1
(+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)
cost-diff2
(fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))))
cost-diff0
#s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i))
cost-diff0
(fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i))
cost-diff1
(+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_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
#s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32))
cost-diff0
(*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i)
cost-diff0
#s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) 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 u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i)))
cost-diff1
(fma.f32 #s(literal -1 binary32) n0_i n1_i)
cost-diff1
(-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32))))
cost-diff1
(+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)
cost-diff2
(fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01081630
01531626
13311597
210431426
348241324
081081240
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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i))
(fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i)
#s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i))
(+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i))
(fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))))
#s(literal 1/2 binary32)
n0_i
(fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))
(-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32))))
(*.f32 #s(literal -1/24 binary32) n0_i)
#s(literal -1/24 binary32)
(fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))
#s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i))
(*.f32 #s(literal 1/6 binary32) n1_i)
#s(literal 1/6 binary32)
n1_i
#s(literal -1/6 binary32)
(*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32))
(fma.f32 #s(literal -1 binary32) n0_i n1_i)
#s(literal -1 binary32)
#s(literal 1/120 binary32)
(*.f32 normAngle normAngle)
normAngle
(*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))
(neg.f32 n0_i)
u
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i)))
#s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i))
(*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i)
#s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32))
#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)) (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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i))
(fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i)
#s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i))
(+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)
(fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i))
#s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i))
(*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)
(fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32))
#s(literal 7/360 binary32)
(*.f32 normAngle normAngle)
normAngle
#s(literal 1/6 binary32)
n1_i
(neg.f32 n0_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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i))
(fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i)
#s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i))
(+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i))
(fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))))
#s(literal 1/2 binary32)
n0_i
(fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))
(-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i)))
(*.f32 #s(literal -1/24 binary32) n0_i)
#s(literal -1/24 binary32)
#s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_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
(*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))
#s(literal 1/6 binary32)
(fma.f32 #s(literal -1 binary32) n0_i n1_i)
#s(literal -1 binary32)
(neg.f32 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal 1/6 binary32) (*.f32 #s(literal -1/24 binary32) n0_i))) (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
(fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i)
(fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal 1/6 binary32) (*.f32 #s(literal -1/24 binary32) n0_i))) (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)
#s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i))
#s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal 1/6 binary32) (*.f32 #s(literal -1/24 binary32) n0_i))) (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)))
(+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)
(fma.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal 1/6 binary32) (*.f32 #s(literal -1/24 binary32) n0_i))) (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i))
(fma.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal 1/6 binary32) (*.f32 #s(literal -1/24 binary32) n0_i))) (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 normAngle normAngle) (neg.f32 n0_i))
(fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal 1/6 binary32) (*.f32 #s(literal -1/24 binary32) n0_i))) (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32))))
#s(literal 1/2 binary32)
n0_i
(fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal 1/6 binary32) (*.f32 #s(literal -1/24 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 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32))))
(fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal 1/6 binary32) (*.f32 #s(literal -1/24 binary32) n0_i)))
(*.f32 #s(literal -1/24 binary32) n0_i)
#s(literal -1/24 binary32)
(fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))
(fma.f32 #s(literal -1/6 binary32) #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)))
#s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i))
(*.f32 #s(literal 1/6 binary32) n1_i)
#s(literal 1/6 binary32)
n1_i
#s(literal -1/6 binary32)
(*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32))
(*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))
(fma.f32 #s(literal -1 binary32) n0_i n1_i)
(-.f32 n1_i n0_i)
#s(literal -1 binary32)
#s(literal 1/120 binary32)
(*.f32 normAngle normAngle)
normAngle
(*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))
(*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))
(neg.f32 n0_i)
u
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i)))
#s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i))
(*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i)
#s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32))
#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)) (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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i)
(fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)
#s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i))
#s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)))
(+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)
(fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))
(fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i))
#s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i))
(*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)
(fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32))
#s(literal 7/360 binary32)
(*.f32 normAngle normAngle)
normAngle
#s(literal 1/6 binary32)
n1_i
(neg.f32 n0_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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
(fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i)
(fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)
#s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i))
#s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)))
(+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)
(fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i))
(fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 normAngle normAngle) (neg.f32 n0_i))
(fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))))
(fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32))))
#s(literal 1/2 binary32)
n0_i
(fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))
(fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))
(-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i)))
(*.f32 #s(literal -1/24 binary32) n0_i)
#s(literal -1/24 binary32)
#s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_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
(*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))
(*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))
#s(literal 1/6 binary32)
(fma.f32 #s(literal -1 binary32) n0_i n1_i)
(-.f32 n1_i n0_i)
#s(literal -1 binary32)
(neg.f32 n0_i)
u

localize270.0ms (2.6%)

Memory
40.2MiB live, 505.2MiB allocated; 55ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.33203125
(*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))
accuracy0.42460644536884046
(-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i)))
accuracy0.42578125
(*.f32 #s(literal -7/360 binary32) n1_i)
accuracy16.49343705868827
#s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))
accuracy0.08209757667191418
#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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i))
accuracy0.24780416811055989
#s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i))
accuracy0.3046875
(*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)
accuracy16.380954807665304
#s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i))
accuracy0.0
(-.f32 #s(literal 1 binary32) u)
accuracy0.04296875
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
accuracy0.15234375
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
accuracy0.423368120243346
#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))))
accuracy0.16015625
(*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i)
accuracy0.19090901928482645
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i)))
accuracy9.07602851162312
#s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32))
accuracy12.453565169314844
#s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i))
accuracy0.42460644536884046
(-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32))))
accuracy0.46875
(fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))
accuracy0.6435737793053261
(*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32))
accuracy16.383463573602747
#s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i))
Samples
153.0ms243×0valid
48.0ms5exit
12.0ms1valid
Compiler

Compiled 1 018 to 82 computations (91.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 168.0ms
ival-mult: 55.0ms (32.8% of total)
adjust: 43.0ms (25.6% of total)
ival-add: 20.0ms (11.9% of total)
const: 19.0ms (11.3% of total)
ival-pow: 7.0ms (4.2% of total)
ival-sub: 6.0ms (3.6% of total)
ival-sin: 6.0ms (3.6% of total)
ival-div: 4.0ms (2.4% of total)
ival-neg: 4.0ms (2.4% of total)
ival-cos: 2.0ms (1.2% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series75.0ms (0.7%)

Memory
-9.4MiB live, 139.8MiB allocated; 11ms collecting garbage
Counts
28 → 208
Calls
Call 1
Inputs
(fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))))
(+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)
(-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32))))
(fma.f32 #s(literal -1 binary32) n0_i n1_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 u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i)))
#s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i))
(*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i)
#s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) 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 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))
(-.f32 #s(literal 1 binary32) u)
(+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) 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 (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i))
(fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i)
#s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i))
(fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))))
(+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) 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 (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i))
#s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i))
(*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32))
(fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))
#s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i))
(*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)
#s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))
(*.f32 #s(literal -7/360 binary32) n1_i)
(-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i)))
(*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))
Outputs
(+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))
(+ (* 1/6 (+ n1_i (* -1 n0_i))) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i))))))))
(- n1_i n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i)))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (+ n1_i (* -1 n0_i))) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i)))))))))) n0_i)
(+ (* 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)))
(* n0_i (- 1 u))
(+ (* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) (* n0_i (- 1 u)))
(- 1 u)
(- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))
(+ n0_i (+ (* u (+ n1_i (* -1 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 (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))
(+ n0_i (+ (* u (+ n1_i (* -1 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 (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i))))))) (+ (* -1/5040 (* u (+ n1_i (* -1 n0_i)))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))
(+ n1_i (* -1 n0_i))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i)))))))
(+ n1_i (+ (* -1 n0_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 (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 n0_i)))))))
(+ n1_i (+ (* -1 n0_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 (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i)))))) (+ (* -1/5040 (+ n1_i (* -1 n0_i))) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i)))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 n0_i)))))))
(* 1/6 n1_i)
(+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i))
(* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i))))))
(* (pow normAngle 2) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (+ n1_i (* -1 n0_i)) (pow normAngle 2))) (* 1/2 (/ n0_i (pow normAngle 2))))) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i))))))
(* (pow normAngle 4) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i))))))
(* (pow normAngle 4) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (+ n1_i (* -1 n0_i)) (pow normAngle 2))) (* 1/2 (/ n0_i (pow normAngle 2))))) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i))))))
(* (pow normAngle 4) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (+ n1_i (* -1 n0_i)) (pow normAngle 2))) (+ (* 1/2 (/ n0_i (pow normAngle 2))) (/ n1_i (pow normAngle 4))))) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (/ n0_i (pow normAngle 4))))))
(+ (/ (* 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)))))
(* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))))
(* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))
(* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))
(* (pow normAngle 2) (- (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (/ 1 (pow normAngle 2))) (/ u (pow normAngle 2))))
(/ (* normAngle (* u (+ n1_i (* -1 (* n0_i (cos normAngle)))))) (sin normAngle))
(* normAngle (+ (/ n0_i normAngle) (/ (* u (+ n1_i (* -1 (* n0_i (cos normAngle))))) (sin normAngle))))
(/ (* normAngle (+ n1_i (* -1 (* n0_i (cos normAngle))))) (sin normAngle))
(* 7/360 (* n1_i (pow normAngle 2)))
(* (pow normAngle 2) (+ (* 7/360 n1_i) (* 1/6 (/ n1_i (pow normAngle 2)))))
(* -1 (/ (* normAngle (* u (+ (* -1 n1_i) (* n0_i (cos normAngle))))) (sin normAngle)))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (+ (* -1 n1_i) (* n0_i (cos normAngle)))) (sin normAngle)))))
(* -1 (/ (* normAngle (+ (* -1 n1_i) (* 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 (+ (* -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 (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))))
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))))
(+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u))))))))
1
(+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))
(+ 1 (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)))
(+ 1 (* u (- (+ (* 1/3 (pow normAngle 2)) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u))))) 1)))
(+ n0_i (* -1 (* n0_i u)))
(+ 1 (* -1 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))))))))
(* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3))))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* 1/6 (* n0_i (pow normAngle 2)))))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2)))))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 3)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2))))))
(* 1/6 (* (pow normAngle 2) (pow u 3)))
(* (pow u 3) (+ (* -1/2 (/ (pow normAngle 2) u)) (* 1/6 (pow normAngle 2))))
(* (pow u 3) (- (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* 1/6 (pow normAngle 2)) (* 1/3 (/ (pow normAngle 2) (pow u 2))))) (/ 1 (pow u 2))))
(* (pow u 3) (- (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3))))) (/ 1 (pow u 2))))
(* 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))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
(+ (/ (* 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 (* (pow u 3) (+ (* -1/6 (* n0_i (pow normAngle 2))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (* n0_i (+ 1 (* -1/3 (pow normAngle 2)))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ n0_i u)) (* n0_i (+ 1 (* -1/3 (pow normAngle 2))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))
(* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/2 (/ (pow normAngle 2) u)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/3 (pow normAngle 2))) u)) (* -1/2 (pow normAngle 2))) u)) (* -1/6 (pow normAngle 2)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) u)) (* -1/2 (pow normAngle 2))) u)) (* -1/6 (pow normAngle 2)))))
(* -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))))
(/ (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle))) (sin normAngle))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)) (sin normAngle))))))
(+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i))
(+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* 1/45 (pow normAngle 2))))))
(+ n1_i (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i))))
(+ n1_i (+ (* 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)))))
(* -1 (+ (* -1/36 n1_i) (* 1/120 n1_i)))
(- (* 1/45 n0_i) (+ (* -1/36 n1_i) (* 1/120 n1_i)))
n1_i
(/ (* 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)))
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u))
(* n1_i u)
(/ (* 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)))
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(* 1/120 n1_i)
(+ (* -1/120 n0_i) (* 1/120 n1_i))
(+ (* -1/36 n1_i) (* 1/120 n1_i))
(+ (* -23/360 n0_i) (+ (* -1/36 n1_i) (* 1/120 n1_i)))
(+ (* -1/6 n0_i) (* 1/6 n1_i))
(* n0_i (+ 1/3 (* 1/45 (pow normAngle 2))))
(* n0_i (+ 1/3 (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i))) n0_i)) (+ (* 1/45 (pow normAngle 2)) (* 1/6 (/ n1_i n0_i))))))
(* 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))
(* 1/45 n0_i)
(* n0_i (+ 1/45 (* -1 (/ (+ (* -1/36 n1_i) (* 1/120 n1_i)) n0_i))))
(* -1 n0_i)
(* n0_i (- (/ n1_i n0_i) 1))
(/ (* 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))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u))) n0_i)) (/ (* n1_i u) n0_i)))) u))
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(* 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)))))
(* 1/3 n0_i)
(* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))
(* -1/120 n0_i)
(* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120))
(* -23/360 n0_i)
(* n0_i (- (+ (* -1/36 (/ n1_i n0_i)) (* 1/120 (/ n1_i n0_i))) 23/360))
(* -1/6 n0_i)
(* n0_i (- (* 1/6 (/ n1_i n0_i)) 1/6))
(* -1 (* n0_i (- (* -1/45 (pow normAngle 2)) 1/3)))
(* -1 (* n0_i (- (+ (* -1 (/ (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i)) n0_i)) (* -1/45 (pow normAngle 2))) 1/3)))
(* -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 (- (+ (* -1/36 (/ n1_i n0_i)) (* 1/120 (/ n1_i n0_i))) 1/45)))
(* -1 (* n0_i (+ 1 (* -1 (/ 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 (+ (* -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 (- (/ (* 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 (- (* -1/6 (/ n1_i n0_i)) 1/3)))
(* -1 (* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i)))))
(* -1 (* n0_i (+ 23/360 (* -1 (/ (+ (* -1/36 n1_i) (* 1/120 n1_i)) n0_i)))))
(* -1 (* n0_i (+ 1/6 (* -1/6 (/ n1_i n0_i)))))
(+ (* -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))))))
(+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (+ (* n1_i (+ 1/6 (* 7/360 (pow normAngle 2)))) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))))))
(- (* (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)
(- (* -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 (* (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)))))))
(+ 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) (* 1/2 n0_i))
(+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (* 1/2 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)))
(* n1_i (+ 1/6 (* 7/360 (pow normAngle 2))))
(* -7/360 n1_i)
(* n1_i (+ 1/6 (+ (* -1/6 (/ n0_i n1_i)) (+ (* 7/360 (pow normAngle 2)) (+ (* 1/2 (/ n0_i n1_i)) (/ (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))) n1_i))))))
(* 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)))
(* 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 (* -1 (/ n0_i n1_i))))
(* 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 (+ (* -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 (+ 1/6 (+ (* -1/6 (/ n0_i n1_i)) (* 1/2 (/ n0_i n1_i)))))
(* n1_i (+ 1/120 (* -1/120 (/ n0_i 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 (+ 1/6 (* -1/6 (/ n0_i n1_i))))
(* -1 (* n1_i (- (* -7/360 (pow normAngle 2)) 1/6)))
(* -1 (* n1_i (- (+ (* -1 (/ (+ (* -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)) (* -7/360 (pow normAngle 2))) 1/6)))
(* -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 (/ (- (* -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 (- (/ n0_i n1_i) 1)))
(* -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 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 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) 1/6)))
(* -1 (* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120)))
(* -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 (- (* 1/6 (/ n0_i n1_i)) 1/6)))
Calls

12 calls:

TimeVariablePointExpression
13.0ms
n0_i
@-inf
((+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (+ (* -1 n0_i) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) n0_i) (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 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)) (- 1 u) (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) u) n0_i) (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (* (+ (* -1 n0_i) n1_i) 1/120) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* (+ (* 7/360 (* normAngle normAngle)) 1/6) n1_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (* -7/360 n1_i) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* 1/6 (+ (* -1 n0_i) n1_i)))
8.0ms
normAngle
@0
((+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (+ (* -1 n0_i) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) n0_i) (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 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)) (- 1 u) (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) u) n0_i) (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (* (+ (* -1 n0_i) n1_i) 1/120) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* (+ (* 7/360 (* normAngle normAngle)) 1/6) n1_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (* -7/360 n1_i) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* 1/6 (+ (* -1 n0_i) n1_i)))
6.0ms
normAngle
@inf
((+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (+ (* -1 n0_i) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) n0_i) (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 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)) (- 1 u) (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) u) n0_i) (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (* (+ (* -1 n0_i) n1_i) 1/120) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* (+ (* 7/360 (* normAngle normAngle)) 1/6) n1_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (* -7/360 n1_i) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* 1/6 (+ (* -1 n0_i) n1_i)))
6.0ms
n1_i
@-inf
((+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (+ (* -1 n0_i) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) n0_i) (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 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)) (- 1 u) (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) u) n0_i) (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (* (+ (* -1 n0_i) n1_i) 1/120) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* (+ (* 7/360 (* normAngle normAngle)) 1/6) n1_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (* -7/360 n1_i) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* 1/6 (+ (* -1 n0_i) n1_i)))
5.0ms
n1_i
@0
((+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (+ (* -1 n0_i) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) n0_i) (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 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)) (- 1 u) (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) u) n0_i) (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (* (+ (* -1 n0_i) n1_i) 1/120) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* (+ (* 7/360 (* normAngle normAngle)) 1/6) n1_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (* -7/360 n1_i) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* 1/6 (+ (* -1 n0_i) n1_i)))

simplify264.0ms (2.6%)

Memory
0.6MiB live, 339.8MiB allocated; 52ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09134542
132614280
082274000
Stop Event
iter limit
node limit
Counts
208 → 206
Calls
Call 1
Inputs
(+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))
(+ (* 1/6 (+ n1_i (* -1 n0_i))) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i))))))))
(- n1_i n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i)))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (+ n1_i (* -1 n0_i))) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i)))))))))) n0_i)
(+ (* 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)))
(* n0_i (- 1 u))
(+ (* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) (* n0_i (- 1 u)))
(- 1 u)
(- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))
(+ n0_i (+ (* u (+ n1_i (* -1 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 (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))
(+ n0_i (+ (* u (+ n1_i (* -1 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 (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i))))))) (+ (* -1/5040 (* u (+ n1_i (* -1 n0_i)))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))
(+ n1_i (* -1 n0_i))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i)))))))
(+ n1_i (+ (* -1 n0_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 (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 n0_i)))))))
(+ n1_i (+ (* -1 n0_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 (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i)))))) (+ (* -1/5040 (+ n1_i (* -1 n0_i))) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i)))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 n0_i)))))))
(* 1/6 n1_i)
(+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i))
(* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i))))))
(* (pow normAngle 2) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (+ n1_i (* -1 n0_i)) (pow normAngle 2))) (* 1/2 (/ n0_i (pow normAngle 2))))) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i))))))
(* (pow normAngle 4) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i))))))
(* (pow normAngle 4) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (+ n1_i (* -1 n0_i)) (pow normAngle 2))) (* 1/2 (/ n0_i (pow normAngle 2))))) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i))))))
(* (pow normAngle 4) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (+ n1_i (* -1 n0_i)) (pow normAngle 2))) (+ (* 1/2 (/ n0_i (pow normAngle 2))) (/ n1_i (pow normAngle 4))))) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (/ n0_i (pow normAngle 4))))))
(+ (/ (* 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)))))
(* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))))
(* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))
(* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))
(* (pow normAngle 2) (- (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (/ 1 (pow normAngle 2))) (/ u (pow normAngle 2))))
(/ (* normAngle (* u (+ n1_i (* -1 (* n0_i (cos normAngle)))))) (sin normAngle))
(* normAngle (+ (/ n0_i normAngle) (/ (* u (+ n1_i (* -1 (* n0_i (cos normAngle))))) (sin normAngle))))
(/ (* normAngle (+ n1_i (* -1 (* n0_i (cos normAngle))))) (sin normAngle))
(* 7/360 (* n1_i (pow normAngle 2)))
(* (pow normAngle 2) (+ (* 7/360 n1_i) (* 1/6 (/ n1_i (pow normAngle 2)))))
(* -1 (/ (* normAngle (* u (+ (* -1 n1_i) (* n0_i (cos normAngle))))) (sin normAngle)))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (+ (* -1 n1_i) (* n0_i (cos normAngle)))) (sin normAngle)))))
(* -1 (/ (* normAngle (+ (* -1 n1_i) (* 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 (+ (* -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 (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))))
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))))
(+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u))))))))
1
(+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))
(+ 1 (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)))
(+ 1 (* u (- (+ (* 1/3 (pow normAngle 2)) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u))))) 1)))
(+ n0_i (* -1 (* n0_i u)))
(+ 1 (* -1 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))))))))
(* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3))))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* 1/6 (* n0_i (pow normAngle 2)))))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2)))))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 3)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2))))))
(* 1/6 (* (pow normAngle 2) (pow u 3)))
(* (pow u 3) (+ (* -1/2 (/ (pow normAngle 2) u)) (* 1/6 (pow normAngle 2))))
(* (pow u 3) (- (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* 1/6 (pow normAngle 2)) (* 1/3 (/ (pow normAngle 2) (pow u 2))))) (/ 1 (pow u 2))))
(* (pow u 3) (- (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3))))) (/ 1 (pow u 2))))
(* 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))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
(+ (/ (* 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 (* (pow u 3) (+ (* -1/6 (* n0_i (pow normAngle 2))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (* n0_i (+ 1 (* -1/3 (pow normAngle 2)))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ n0_i u)) (* n0_i (+ 1 (* -1/3 (pow normAngle 2))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))
(* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/2 (/ (pow normAngle 2) u)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/3 (pow normAngle 2))) u)) (* -1/2 (pow normAngle 2))) u)) (* -1/6 (pow normAngle 2)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) u)) (* -1/2 (pow normAngle 2))) u)) (* -1/6 (pow normAngle 2)))))
(* -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))))
(/ (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle))) (sin normAngle))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)) (sin normAngle))))))
(+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i))
(+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* 1/45 (pow normAngle 2))))))
(+ n1_i (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i))))
(+ n1_i (+ (* 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)))))
(* -1 (+ (* -1/36 n1_i) (* 1/120 n1_i)))
(- (* 1/45 n0_i) (+ (* -1/36 n1_i) (* 1/120 n1_i)))
n1_i
(/ (* 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)))
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u))
(* n1_i u)
(/ (* 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)))
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(* 1/120 n1_i)
(+ (* -1/120 n0_i) (* 1/120 n1_i))
(+ (* -1/36 n1_i) (* 1/120 n1_i))
(+ (* -23/360 n0_i) (+ (* -1/36 n1_i) (* 1/120 n1_i)))
(+ (* -1/6 n0_i) (* 1/6 n1_i))
(* n0_i (+ 1/3 (* 1/45 (pow normAngle 2))))
(* n0_i (+ 1/3 (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i))) n0_i)) (+ (* 1/45 (pow normAngle 2)) (* 1/6 (/ n1_i n0_i))))))
(* 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))
(* 1/45 n0_i)
(* n0_i (+ 1/45 (* -1 (/ (+ (* -1/36 n1_i) (* 1/120 n1_i)) n0_i))))
(* -1 n0_i)
(* n0_i (- (/ n1_i n0_i) 1))
(/ (* 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))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u))) n0_i)) (/ (* n1_i u) n0_i)))) u))
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(* 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)))))
(* 1/3 n0_i)
(* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))
(* -1/120 n0_i)
(* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120))
(* -23/360 n0_i)
(* n0_i (- (+ (* -1/36 (/ n1_i n0_i)) (* 1/120 (/ n1_i n0_i))) 23/360))
(* -1/6 n0_i)
(* n0_i (- (* 1/6 (/ n1_i n0_i)) 1/6))
(* -1 (* n0_i (- (* -1/45 (pow normAngle 2)) 1/3)))
(* -1 (* n0_i (- (+ (* -1 (/ (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i)) n0_i)) (* -1/45 (pow normAngle 2))) 1/3)))
(* -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 (- (+ (* -1/36 (/ n1_i n0_i)) (* 1/120 (/ n1_i n0_i))) 1/45)))
(* -1 (* n0_i (+ 1 (* -1 (/ 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 (+ (* -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 (- (/ (* 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 (- (* -1/6 (/ n1_i n0_i)) 1/3)))
(* -1 (* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i)))))
(* -1 (* n0_i (+ 23/360 (* -1 (/ (+ (* -1/36 n1_i) (* 1/120 n1_i)) n0_i)))))
(* -1 (* n0_i (+ 1/6 (* -1/6 (/ n1_i n0_i)))))
(+ (* -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))))))
(+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (+ (* n1_i (+ 1/6 (* 7/360 (pow normAngle 2)))) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))))))
(- (* (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)
(- (* -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 (* (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)))))))
(+ 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) (* 1/2 n0_i))
(+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (* 1/2 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)))
(* n1_i (+ 1/6 (* 7/360 (pow normAngle 2))))
(* -7/360 n1_i)
(* n1_i (+ 1/6 (+ (* -1/6 (/ n0_i n1_i)) (+ (* 7/360 (pow normAngle 2)) (+ (* 1/2 (/ n0_i n1_i)) (/ (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))) n1_i))))))
(* 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)))
(* 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 (* -1 (/ n0_i n1_i))))
(* 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 (+ (* -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 (+ 1/6 (+ (* -1/6 (/ n0_i n1_i)) (* 1/2 (/ n0_i n1_i)))))
(* n1_i (+ 1/120 (* -1/120 (/ n0_i 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 (+ 1/6 (* -1/6 (/ n0_i n1_i))))
(* -1 (* n1_i (- (* -7/360 (pow normAngle 2)) 1/6)))
(* -1 (* n1_i (- (+ (* -1 (/ (+ (* -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)) (* -7/360 (pow normAngle 2))) 1/6)))
(* -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 (/ (- (* -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 (- (/ n0_i n1_i) 1)))
(* -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 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 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) 1/6)))
(* -1 (* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120)))
(* -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 (- (* 1/6 (/ n0_i n1_i)) 1/6)))
Outputs
(+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))
(fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32)))
(+ (* 1/6 (+ n1_i (* -1 n0_i))) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i))))))))
(+.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/120 binary32) (-.f32 n0_i n1_i) (*.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) #s(literal -1/6 binary32)))) (*.f32 normAngle normAngle)))
(- n1_i n0_i)
(-.f32 n1_i n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i)))) n0_i)
(-.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 normAngle normAngle) n1_i) n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (+ n1_i (* -1 n0_i))) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i)))))))))) n0_i)
(-.f32 (fma.f32 (+.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/120 binary32) (-.f32 n0_i n1_i) (*.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) #s(literal -1/6 binary32)))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) n1_i) n0_i)
(+ (* 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 #s(literal 1 binary32) u) n0_i (fma.f32 (*.f32 (-.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i))) #s(literal -1/6 binary32)) (*.f32 normAngle normAngle) (*.f32 u n1_i)))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (fma.f32 (-.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_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 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 u n1_i))))) (*.f32 normAngle normAngle))) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)))) (*.f32 normAngle normAngle) (*.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 (-.f32 #s(literal 1 binary32) u) n0_i (fma.f32 (-.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_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 #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)) (*.f32 #s(literal 1/120 binary32) (*.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 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))))))) (*.f32 normAngle normAngle))) (fma.f32 #s(literal -1/6 binary32) (*.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 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) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)))) (*.f32 normAngle normAngle) (*.f32 u n1_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 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i))) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)))
(* n0_i (- 1 u))
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
(+ (* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) (* n0_i (- 1 u)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) (*.f32 normAngle normAngle)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(- 1 u)
(-.f32 #s(literal 1 binary32) u)
(- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)
(-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u)
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))
(+.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (*.f32 (fma.f32 (*.f32 u n0_i) #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 (* -1 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 (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))
(+.f32 (fma.f32 (fma.f32 (*.f32 u n0_i) #s(literal 1/2 binary32) (fma.f32 (-.f32 (*.f32 (*.f32 u n0_i) #s(literal -1/24 binary32)) (fma.f32 (fma.f32 (*.f32 u n0_i) #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 (* -1 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 (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i))))))) (+ (* -1/5040 (* u (+ n1_i (* -1 n0_i)))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))
(+.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (*.f32 (fma.f32 (*.f32 u n0_i) #s(literal 1/2 binary32) (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 u n0_i)) (fma.f32 (-.f32 (*.f32 (*.f32 u n0_i) #s(literal -1/24 binary32)) (fma.f32 (fma.f32 (*.f32 u n0_i) #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 u n0_i) #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 u n0_i) #s(literal -1/24 binary32))) (fma.f32 (fma.f32 (*.f32 u n0_i) #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 (* -1 n0_i))
(-.f32 n1_i n0_i)
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i)))))))
(+.f32 (-.f32 n1_i n0_i) (*.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 normAngle normAngle)))
(+ n1_i (+ (* -1 n0_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 (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 n0_i)))))))
(+.f32 (fma.f32 (+.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/120 binary32) (-.f32 n0_i n1_i) (*.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) #s(literal -1/6 binary32)))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)
(+ n1_i (+ (* -1 n0_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 (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i)))))) (+ (* -1/5040 (+ n1_i (* -1 n0_i))) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i)))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 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 #s(literal -1/120 binary32) (-.f32 n0_i n1_i) (*.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) #s(literal -1/6 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) #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 #s(literal -1/120 binary32) (-.f32 n0_i n1_i) (*.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) #s(literal -1/6 binary32)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i))
(fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
(* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i))))))
(*.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/120 binary32) (-.f32 n0_i n1_i) (*.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) #s(literal -1/6 binary32)))) (*.f32 normAngle normAngle))
(* (pow normAngle 2) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (+ n1_i (* -1 n0_i)) (pow normAngle 2))) (* 1/2 (/ n0_i (pow normAngle 2))))) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i))))))
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(* (pow normAngle 4) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i))))))
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(* (pow normAngle 4) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (+ n1_i (* -1 n0_i)) (pow normAngle 2))) (* 1/2 (/ n0_i (pow normAngle 2))))) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i))))))
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(/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle))
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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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(* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))))
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(/ (* normAngle (* u (+ n1_i (* -1 (* n0_i (cos normAngle)))))) (sin normAngle))
(/.f32 (*.f32 (*.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) u) normAngle) (sin.f32 normAngle))
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(* 7/360 (* n1_i (pow normAngle 2)))
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n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
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(+ 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 normAngle n1_i) (*.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 normAngle n1_i) (*.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 (+ (* -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 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u) (*.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) (+ (* -1/6 (* (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 #s(literal -1/2 binary32) n0_i) (*.f32 normAngle normAngle) (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 (-.f32 n1_i n0_i) u))) u))) u n0_i)
(+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))))
(fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) u) n0_i n0_i)
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))))
(fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) n0_i (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32))) u n0_i)
(+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal 1/6 binary32))) u (*.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) n0_i)) u n0_i)
1
#s(literal 1 binary32)
(+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))
(fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) u #s(literal 1 binary32))
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(+ 1 (* u (- (+ (* 1/3 (pow normAngle 2)) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u))))) 1)))
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(+ n0_i (* -1 (* n0_i u)))
(-.f32 n0_i (*.f32 u n0_i))
(+ 1 (* -1 u))
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(* -1/6 (* (pow normAngle 2) (* (pow u 3) (+ n1_i (* -1 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)))
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(* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3))))
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(* u (+ n1_i (* -1 n0_i)))
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(neg.f32 u)
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(* -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 (*.f32 #s(literal 1/3 binary32) n0_i) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) n0_i)) n1_i)) (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))

rewrite239.0ms (2.3%)

Memory
-30.8MiB live, 355.1MiB allocated; 37ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105995
0148991
1725971
26708971
08615924
Stop Event
iter limit
node limit
iter limit
Counts
28 → 326
Calls
Call 1
Inputs
(fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))))
(+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)
(-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32))))
(fma.f32 #s(literal -1 binary32) n0_i n1_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 u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i)))
#s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i))
(*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i)
#s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) 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 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))
(-.f32 #s(literal 1 binary32) u)
(+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) 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 (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i))
(fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i)
#s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i))
(fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))))
(+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) 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 (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i))
#s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i))
(*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32))
(fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))
#s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i))
(*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)
#s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))
(*.f32 #s(literal -7/360 binary32) n1_i)
(-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i)))
(*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))
Outputs
(/.f32 (-.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 n0_i #s(literal 1/2 binary32))) (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 n0_i #s(literal 1/2 binary32)))) (pow.f32 (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32)) #s(literal 2 binary32))) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 n0_i #s(literal 1/2 binary32))) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32))))
(/.f32 (-.f32 (pow.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32))) #s(literal 2 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i))) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32))) (*.f32 n0_i #s(literal 1/2 binary32))))
(/.f32 (+.f32 (pow.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 n0_i #s(literal 1/2 binary32))) #s(literal 3 binary32)) (pow.f32 (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32)) #s(literal 3 binary32))) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 n0_i #s(literal 1/2 binary32))) (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 n0_i #s(literal 1/2 binary32))) (-.f32 (pow.f32 (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32)) #s(literal 2 binary32)) (*.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 n0_i #s(literal 1/2 binary32))) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32))))))
(/.f32 (neg.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i)) (pow.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32))) #s(literal 2 binary32)))) (neg.f32 (-.f32 (*.f32 n0_i #s(literal 1/2 binary32)) (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32))))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32))) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32))) (*.f32 n0_i #s(literal 1/2 binary32))) (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i)))))
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(*.f32 n1_i #s(literal -7/360 binary32))
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(/.f32 (neg.f32 (-.f32 (*.f32 #s(literal -1/13824 binary32) (pow.f32 n0_i #s(literal 3 binary32))) (pow.f32 #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(literal 1/576 binary32) (*.f32 n0_i n0_i) (*.f32 #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i)) (fma.f32 #s(literal -1/24 binary32) n0_i #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i)))))))
(/.f32 (-.f32 (*.f32 #s(literal 1/576 binary32) (*.f32 n0_i n0_i)) (pow.f32 #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i)) #s(literal 2 binary32))) (fma.f32 #s(literal -1/24 binary32) n0_i #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))))
(/.f32 (-.f32 (*.f32 #s(literal -1/13824 binary32) (pow.f32 n0_i #s(literal 3 binary32))) (pow.f32 #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i)) #s(literal 3 binary32))) (fma.f32 #s(literal 1/576 binary32) (*.f32 n0_i n0_i) (*.f32 #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i)) (fma.f32 #s(literal -1/24 binary32) n0_i #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))))))
(-.f32 (/.f32 (*.f32 #s(literal 1/576 binary32) (*.f32 n0_i n0_i)) (fma.f32 #s(literal -1/24 binary32) n0_i #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i)))) (/.f32 (pow.f32 #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i)) #s(literal 2 binary32)) (fma.f32 #s(literal -1/24 binary32) n0_i #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i)))))
(-.f32 (/.f32 (*.f32 #s(literal -1/13824 binary32) (pow.f32 n0_i #s(literal 3 binary32))) (fma.f32 #s(literal 1/576 binary32) (*.f32 n0_i n0_i) (*.f32 #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i)) (fma.f32 #s(literal -1/24 binary32) n0_i #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i)))))) (/.f32 (pow.f32 #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i)) #s(literal 3 binary32)) (fma.f32 #s(literal 1/576 binary32) (*.f32 n0_i n0_i) (*.f32 #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i)) (fma.f32 #s(literal -1/24 binary32) n0_i #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i)))))))
(-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i)))
(*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32))
(*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))
(/.f32 (*.f32 (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)) #s(literal 1/6 binary32)) (-.f32 (neg.f32 n0_i) n1_i))
(/.f32 (*.f32 (fma.f32 (pow.f32 n0_i #s(literal 3 binary32)) #s(literal -1 binary32) (pow.f32 n1_i #s(literal 3 binary32))) #s(literal 1/6 binary32)) (fma.f32 n1_i (-.f32 n1_i (neg.f32 n0_i)) (*.f32 n0_i n0_i)))
(/.f32 (*.f32 #s(literal 1/6 binary32) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i))) (-.f32 (neg.f32 n0_i) n1_i))
(/.f32 (*.f32 #s(literal 1/6 binary32) (fma.f32 (pow.f32 n0_i #s(literal 3 binary32)) #s(literal -1 binary32) (pow.f32 n1_i #s(literal 3 binary32)))) (fma.f32 n1_i (-.f32 n1_i (neg.f32 n0_i)) (*.f32 n0_i n0_i)))
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i)) (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 n1_i #s(literal 1/6 binary32))))
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) n0_i) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i #s(literal 1/6 binary32)) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 n1_i #s(literal 1/6 binary32))))))
(-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 (neg.f32 n1_i) #s(literal 1/6 binary32)))
(-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i))
(fma.f32 (*.f32 #s(literal 1/6 binary32) n0_i) #s(literal -1 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
(fma.f32 (neg.f32 n0_i) #s(literal 1/6 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
(fma.f32 #s(literal -1/6 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32)))
(fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 #s(literal -1/6 binary32) n0_i))
(fma.f32 #s(literal -1 binary32) (*.f32 n0_i #s(literal 1/6 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))
(fma.f32 #s(literal 1/6 binary32) (neg.f32 n0_i) (*.f32 n1_i #s(literal 1/6 binary32)))
(fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 #s(literal -1/6 binary32) n0_i))
(fma.f32 n0_i #s(literal -1/6 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
(+.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 n1_i #s(literal 1/6 binary32)))
(+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 #s(literal -1/6 binary32) n0_i))

eval158.0ms (1.5%)

Memory
21.7MiB live, 366.7MiB allocated; 57ms collecting garbage
Compiler

Compiled 60 993 to 4 253 computations (93% saved)

prune106.0ms (1%)

Memory
11.5MiB live, 152.0MiB allocated; 7ms collecting garbage
Pruning

31 alts after pruning (29 fresh and 2 done)

PrunedKeptTotal
New57511586
Fresh81826
Picked415
Done112
Total58831619
Accuracy
100.0%
Counts
619 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.0%
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
85.1%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (*.f32 (+.f32 (fma.f32 (fma.f32 #s(literal -1/24 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i) normAngle)) (sin.f32 normAngle)) u n0_i))
85.1%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (*.f32 (+.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (neg.f32 n0_i)) n1_i) normAngle)) (sin.f32 normAngle)) u n0_i))
72.2%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (*.f32 normAngle n1_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)))
98.4%
#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 u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (- (+ (* -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (*.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -2 binary32)) n0_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 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (/.f32 (*.f32 (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)) #s(literal 1/120 binary32)) (-.f32 (neg.f32 n0_i) n1_i)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i))
99.2%
#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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i)) (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 n1_i #s(literal 1/6 binary32)))))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i))
98.8%
#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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) #s(approx (* 1/6 (+ (* -1 n0_i) n1_i)) (*.f32 #s(literal -1/6 binary32) n0_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) #s(approx (* 1/6 (+ (* -1 n0_i) n1_i)) (*.f32 #s(literal -1/6 binary32) n0_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i))
99.0%
#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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) #s(approx (* (+ (* 7/360 (* normAngle normAngle)) 1/6) n1_i) (*.f32 n1_i #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i))
99.2%
#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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) #s(approx (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (-.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 normAngle normAngle) n1_i) n0_i))) u n0_i))
81.7%
#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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) #s(approx (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_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))
36.2%
#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) (neg.f32 u)) n0_i (*.f32 n1_i u)))
81.0%
#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)))
98.4%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i #s(approx (* n0_i (- 1 u)) (-.f32 n0_i (*.f32 u n0_i)))))
72.6%
#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 #s(approx (* (- 1 u) normAngle) (-.f32 normAngle (*.f32 normAngle u)))) n0_i)) (sin.f32 normAngle)))
99.0%
#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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) u) n0_i))
60.1%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))))
28.7%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) u) n0_i) (/.f32 (*.f32 (*.f32 normAngle n1_i) u) (sin.f32 normAngle))))
97.9%
#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 (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 n0_i n1_i) u) n1_i)))
37.9%
#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 u n1_i)))
35.9%
#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)) #s(approx (* (+ (* -1 n0_i) n1_i) u) (*.f32 (fma.f32 n1_i (/.f32 u n0_i) (neg.f32 u)) n0_i))))
60.0%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) #s(approx (- (+ (pow (- 1 u) 3) u) 1) (*.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) u #s(literal 3 binary32)) u #s(literal -2 binary32)) u)) #s(literal 1 binary32)) u) n0_i)))
60.0%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) #s(approx (- (+ (pow (- 1 u) 3) u) 1) (*.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -2 binary32)) u)) #s(literal 1 binary32)) u) n0_i)))
60.1%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (fma.f32 (-.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32))) #s(literal 1 binary32)) u #s(literal 1 binary32))) n0_i)))
60.0%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) u #s(literal 1 binary32))) n0_i)))
59.9%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (-.f32 #s(literal 1 binary32) u)) n0_i)))
46.6%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i)))
36.2%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u n1_i) (* n0_i (- 1 u))) (*.f32 (-.f32 n1_i n0_i) u)))
Compiler

Compiled 6 662 to 1 773 computations (73.4% saved)

regimes146.0ms (1.4%)

Memory
-32.4MiB live, 157.3MiB allocated; 12ms collecting garbage
Counts
69 → 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 (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 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 (+ (* u n1_i) (* n0_i (- 1 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)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (-.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)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (neg.f32 n0_i) 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 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i 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 (- 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 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 #s(literal -1 binary32) n0_i 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 (- 1 u) (neg.f32 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 u n1_i #s(approx (* n0_i (- 1 u)) (-.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)) (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)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) 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)) #s(approx (* (+ (* -1 n0_i) n1_i) u) (*.f32 (fma.f32 n1_i (/.f32 u n0_i) (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)) (*.f32 (-.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)) #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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 n0_i 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 (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) #s(approx (* (+ (* 7/360 (* normAngle normAngle)) 1/6) n1_i) (*.f32 n1_i #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) 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 (- 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) #s(approx (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (-.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 normAngle normAngle) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) #s(approx (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_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 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.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 u) n0_i) (* n1_i u)) (/.f32 (*.f32 (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)) u) (-.f32 (neg.f32 n0_i) n1_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 u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) #s(approx (- (+ (pow (- 1 u) 3) u) 1) (*.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -2 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 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (- (+ (* -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (neg.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 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 1/45 binary32) (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) n0_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_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 u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (fma.f32 (-.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32))) #s(literal 1 binary32)) 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 (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) #s(approx (- (+ (pow (- 1 u) 3) u) 1) (*.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) u #s(literal 3 binary32)) u #s(literal -2 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)) (+.f32 (*.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal -1 binary32) n0_i 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 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (- (+ (* -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (*.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -2 binary32)) 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 u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) n1_i) (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)) #s(approx (+ (* (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) u) n0_i) (+.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u n0_i) (*.f32 (fma.f32 (*.f32 n0_i u) #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))) (*.f32 normAngle normAngle)))))
#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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) #s(approx (* 1/6 (+ (* -1 n0_i) n1_i)) (*.f32 #s(literal -1/6 binary32) n0_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) 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 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (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 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (fma.f32 (*.f32 #s(literal 7/360 binary32) n1_i) (*.f32 normAngle normAngle) (fma.f32 (fma.f32 #s(literal 1/45 binary32) (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) n0_i (*.f32 #s(literal 1/6 binary32) n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_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 u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) n1_i) (neg.f32 n0_i)) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 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 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) n1_i) (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 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) #s(approx (* 1/6 (+ (* -1 n0_i) n1_i)) (*.f32 #s(literal -1/6 binary32) n0_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 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) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (/.f32 (*.f32 (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)) #s(literal 1/120 binary32)) (-.f32 (neg.f32 n0_i) n1_i)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) u) n0_i) (/.f32 (*.f32 (*.f32 normAngle n1_i) u) (sin.f32 normAngle))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (*.f32 normAngle n1_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 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i)) (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 n1_i #s(literal 1/6 binary32)))))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i))
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #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 (/.f32 #s(approx (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (*.f32 (+.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (neg.f32 n0_i)) n1_i) normAngle)) (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(approx (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (*.f32 (+.f32 (fma.f32 (fma.f32 #s(literal -1/24 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i) normAngle)) (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)) (*.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 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))))
(+.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)) (/.f32 (fma.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (sin.f32 normAngle)) u n0_i))
(+.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 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (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) (-.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 (-.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)) (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (-.f32 normAngle (*.f32 normAngle u)))) 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 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) 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 (/.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 (*.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 normAngle (sin.f32 normAngle)) u)) n1_i))
(fma.f32 (*.f32 n0_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(+.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))
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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i))
Calls

5 calls:

38.0ms
(+.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))
28.0ms
n0_i
23.0ms
normAngle
17.0ms
u
17.0ms
n1_i
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)

regimes83.0ms (0.8%)

Memory
7.2MiB live, 58.5MiB allocated; 4ms collecting garbage
Counts
43 → 1
Calls
Call 1
Inputs
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#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)))
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#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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) #s(approx (* 1/6 (+ (* -1 n0_i) n1_i)) (*.f32 #s(literal -1/6 binary32) n0_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i))
Calls

5 calls:

36.0ms
u
11.0ms
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
11.0ms
n0_i
11.0ms
n1_i
11.0ms
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)

regimes85.0ms (0.8%)

Memory
12.6MiB live, 56.9MiB allocated; 5ms collecting garbage
Counts
39 → 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 (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 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 (+ (* u n1_i) (* n0_i (- 1 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)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (-.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)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (neg.f32 n0_i) 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 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i 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 (- 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 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 #s(literal -1 binary32) n0_i 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 (- 1 u) (neg.f32 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 u n1_i #s(approx (* n0_i (- 1 u)) (-.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)) (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)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) 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)) #s(approx (* (+ (* -1 n0_i) n1_i) u) (*.f32 (fma.f32 n1_i (/.f32 u n0_i) (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)) (*.f32 (-.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)) #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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 n0_i 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 (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) #s(approx (* (+ (* 7/360 (* normAngle normAngle)) 1/6) n1_i) (*.f32 n1_i #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) 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 (- 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) #s(approx (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (-.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 normAngle normAngle) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) #s(approx (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_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 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.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 u) n0_i) (* n1_i u)) (/.f32 (*.f32 (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)) u) (-.f32 (neg.f32 n0_i) n1_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 u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) #s(approx (- (+ (pow (- 1 u) 3) u) 1) (*.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -2 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 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (- (+ (* -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (neg.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 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 1/45 binary32) (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) n0_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_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 u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (fma.f32 (-.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32))) #s(literal 1 binary32)) 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 (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) #s(approx (- (+ (pow (- 1 u) 3) u) 1) (*.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) u #s(literal 3 binary32)) u #s(literal -2 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)) (+.f32 (*.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal -1 binary32) n0_i 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 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (- (+ (* -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (*.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -2 binary32)) 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 u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) n1_i) (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)) #s(approx (+ (* (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) u) n0_i) (+.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u n0_i) (*.f32 (fma.f32 (*.f32 n0_i u) #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))) (*.f32 normAngle normAngle)))))
#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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) #s(approx (* 1/6 (+ (* -1 n0_i) n1_i)) (*.f32 #s(literal -1/6 binary32) n0_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) 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 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (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 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (fma.f32 (*.f32 #s(literal 7/360 binary32) n1_i) (*.f32 normAngle normAngle) (fma.f32 (fma.f32 #s(literal 1/45 binary32) (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) n0_i (*.f32 #s(literal 1/6 binary32) n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i))
Calls

5 calls:

43.0ms
u
10.0ms
(+.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))
10.0ms
n1_i
10.0ms
n0_i
10.0ms
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)

regimes96.0ms (0.9%)

Memory
11.5MiB live, 98.0MiB allocated; 16ms collecting garbage
Counts
35 → 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 (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 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 (+ (* u n1_i) (* n0_i (- 1 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)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (-.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)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (neg.f32 n0_i) 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 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i 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 (- 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 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 #s(literal -1 binary32) n0_i 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 (- 1 u) (neg.f32 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 u n1_i #s(approx (* n0_i (- 1 u)) (-.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)) (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)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) 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)) #s(approx (* (+ (* -1 n0_i) n1_i) u) (*.f32 (fma.f32 n1_i (/.f32 u n0_i) (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)) (*.f32 (-.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)) #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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 n0_i 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 (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) #s(approx (* (+ (* 7/360 (* normAngle normAngle)) 1/6) n1_i) (*.f32 n1_i #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) 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 (- 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) #s(approx (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (-.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 normAngle normAngle) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) #s(approx (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_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 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.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 u) n0_i) (* n1_i u)) (/.f32 (*.f32 (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)) u) (-.f32 (neg.f32 n0_i) n1_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 u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) #s(approx (- (+ (pow (- 1 u) 3) u) 1) (*.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -2 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 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (- (+ (* -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (neg.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 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 1/45 binary32) (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) n0_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_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 u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (fma.f32 (-.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32))) #s(literal 1 binary32)) 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 (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) #s(approx (- (+ (pow (- 1 u) 3) u) 1) (*.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) u #s(literal 3 binary32)) u #s(literal -2 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)) (+.f32 (*.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal -1 binary32) n0_i 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 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (- (+ (* -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (*.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -2 binary32)) 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 u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) n1_i) (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)) #s(approx (+ (* (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) u) n0_i) (+.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u n0_i) (*.f32 (fma.f32 (*.f32 n0_i u) #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))) (*.f32 normAngle normAngle)))))
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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i))
Calls

5 calls:

48.0ms
n0_i
19.0ms
normAngle
9.0ms
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
9.0ms
n1_i
9.0ms
u
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)

regimes84.0ms (0.8%)

Memory
-37.0MiB live, 68.4MiB allocated; 22ms 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 (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 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 (+ (* u n1_i) (* n0_i (- 1 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)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (-.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)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (neg.f32 n0_i) 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 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i 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 (- 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 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 #s(literal -1 binary32) n0_i 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 (- 1 u) (neg.f32 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 u n1_i #s(approx (* n0_i (- 1 u)) (-.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)) (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)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) 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)) #s(approx (* (+ (* -1 n0_i) n1_i) u) (*.f32 (fma.f32 n1_i (/.f32 u n0_i) (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)) (*.f32 (-.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)) #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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 n0_i 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 (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) #s(approx (* (+ (* 7/360 (* normAngle normAngle)) 1/6) n1_i) (*.f32 n1_i #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) 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 (- 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) #s(approx (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (-.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 normAngle normAngle) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) #s(approx (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_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 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.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 u) n0_i) (* n1_i u)) (/.f32 (*.f32 (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)) u) (-.f32 (neg.f32 n0_i) n1_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 u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) #s(approx (- (+ (pow (- 1 u) 3) u) 1) (*.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -2 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 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (- (+ (* -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (neg.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 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 1/45 binary32) (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) n0_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) #s(approx (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (-.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 normAngle normAngle) n1_i) n0_i))) u n0_i))
Calls

5 calls:

38.0ms
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
22.0ms
n1_i
7.0ms
n0_i
7.0ms
u
7.0ms
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)

regimes34.0ms (0.3%)

Memory
7.7MiB live, 53.4MiB allocated; 4ms collecting garbage
Counts
20 → 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 (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 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 (+ (* u n1_i) (* n0_i (- 1 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)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (-.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)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (neg.f32 n0_i) 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 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i 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 (- 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 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 #s(literal -1 binary32) n0_i 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 (- 1 u) (neg.f32 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 u n1_i #s(approx (* n0_i (- 1 u)) (-.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)) (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)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) 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)) #s(approx (* (+ (* -1 n0_i) n1_i) u) (*.f32 (fma.f32 n1_i (/.f32 u n0_i) (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)) (*.f32 (-.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)) #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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 n0_i 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 (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) #s(approx (* (+ (* 7/360 (* normAngle normAngle)) 1/6) n1_i) (*.f32 n1_i #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) 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 (- 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)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) #s(approx (* (+ (* 7/360 (* normAngle normAngle)) 1/6) n1_i) (*.f32 n1_i #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i))
Calls

5 calls:

11.0ms
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
6.0ms
u
6.0ms
n1_i
6.0ms
n0_i
5.0ms
normAngle
Results
AccuracySegmentsBranch
99.0%1(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
99.0%1normAngle
99.0%1u
99.0%1n0_i
99.0%1n1_i
Compiler

Compiled 29 to 33 computations (-13.8% saved)

regimes38.0ms (0.4%)

Memory
19.1MiB live, 64.4MiB allocated; 5ms 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 (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 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 (+ (* u n1_i) (* n0_i (- 1 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)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (-.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)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (neg.f32 n0_i) 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 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i 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 (- 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 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 #s(literal -1 binary32) n0_i 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 (- 1 u) (neg.f32 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 u n1_i #s(approx (* n0_i (- 1 u)) (-.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)) (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)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) 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)) #s(approx (* (+ (* -1 n0_i) n1_i) u) (*.f32 (fma.f32 n1_i (/.f32 u n0_i) (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)) (*.f32 (-.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)) #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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 n0_i n1_i) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
Calls

5 calls:

16.0ms
u
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))
5.0ms
n1_i
5.0ms
n0_i
Results
AccuracySegmentsBranch
98.5%1(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
98.5%1normAngle
98.5%1u
98.5%1n0_i
98.5%1n1_i
Compiler

Compiled 29 to 33 computations (-13.8% saved)

regimes25.0ms (0.2%)

Memory
-25.9MiB live, 26.6MiB allocated; 9ms collecting garbage
Counts
4 → 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 (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 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 (+ (* u n1_i) (* n0_i (- 1 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)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (-.f32 #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)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (-.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 u n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (-.f32 #s(literal 1 binary32) u)) n0_i)))
Calls

5 calls:

16.0ms
u
2.0ms
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
2.0ms
n0_i
2.0ms
normAngle
2.0ms
n1_i
Results
AccuracySegmentsBranch
59.9%1normAngle
59.9%1u
75.9%3n0_i
70.7%2n1_i
59.9%1(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
Compiler

Compiled 29 to 33 computations (-13.8% saved)

regimes9.0ms (0.1%)

Memory
24.4MiB live, 24.4MiB 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 (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 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 (+ (* u n1_i) (* n0_i (- 1 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 (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 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 (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_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
n0_i
2.0ms
u
2.0ms
n1_i
1.0ms
normAngle
Results
AccuracySegmentsBranch
46.6%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))
49.9%2normAngle
51.5%2u
62.4%3n1_i
63.9%3n0_i
Compiler

Compiled 29 to 33 computations (-13.8% saved)

regimes4.0ms (0%)

Memory
14.3MiB live, 14.3MiB 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 (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i)))
Outputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i)))
Calls

4 calls:

1.0ms
u
1.0ms
n1_i
1.0ms
n0_i
1.0ms
normAngle
Results
AccuracySegmentsBranch
46.6%1normAngle
46.6%1u
46.6%1n1_i
46.6%1n0_i
Compiler

Compiled 4 to 16 computations (-300% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
4.999412246110482e-28
7.445431868259713e-28
0.0ms
-1.037159213874304e-24
-5.028175744051573e-25
Compiler

Compiled 28 to 24 computations (14.3% saved)

bsearch25.0ms (0.2%)

Memory
-44.4MiB live, 2.0MiB allocated; 4ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
1.3535030993643602e-19
1.3485100562412311e-18
0.0ms
-4.482219512992796e-21
-7.404488774990583e-22
Compiler

Compiled 28 to 24 computations (14.3% saved)

simplify86.0ms (0.8%)

Memory
4.7MiB live, 97.4MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0158957
1307902
2836834
33541820
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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) #s(approx (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (-.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 normAngle normAngle) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) #s(approx (* (+ (* 7/360 (* normAngle normAngle)) 1/6) n1_i) (*.f32 n1_i #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
(if (<=.f32 n0_i #s(literal -10141205/10141204801825835211973625643008 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (-.f32 #s(literal 1 binary32) u)) n0_i))) (if (<=.f32 n0_i #s(literal 5192297/10384593717069655257060992658440192 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 (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (-.f32 #s(literal 1 binary32) u)) n0_i)))))
(if (<=.f32 n0_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 (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i))) (if (<=.f32 n0_i #s(literal 7737125/38685626227668133590597632 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 (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 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 (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) #s(approx (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (-.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 normAngle normAngle) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) #s(approx (* (+ (* 7/360 (* normAngle normAngle)) 1/6) n1_i) (*.f32 n1_i #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
(if (<=.f32 n0_i #s(literal -10141205/10141204801825835211973625643008 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (-.f32 #s(literal 1 binary32) u)) n0_i))) (if (<=.f32 n0_i #s(literal 5192297/10384593717069655257060992658440192 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 (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (-.f32 #s(literal 1 binary32) u)) n0_i)))))
(if (or (<=.f32 n0_i #s(literal -10141205/10141204801825835211973625643008 binary32)) (not (<=.f32 n0_i #s(literal 5192297/10384593717069655257060992658440192 binary32)))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (-.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 u n1_i))))
(if (<=.f32 n0_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 (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i))) (if (<=.f32 n0_i #s(literal 7737125/38685626227668133590597632 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 (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i)))))
(if (or (<=.f32 n0_i #s(literal -309485/77371252455336267181195264 binary32)) (not (<=.f32 n0_i #s(literal 7737125/38685626227668133590597632 binary32)))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 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 (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i)))

derivations557.0ms (5.4%)

Memory
9.1MiB live, 731.9MiB allocated; 67ms collecting garbage
Stop Event
fuel
Compiler

Compiled 968 to 168 computations (82.6% saved)

preprocess56.0ms (0.5%)

Memory
16.4MiB live, 150.2MiB allocated; 18ms collecting garbage
Remove

(abs normAngle)

Compiler

Compiled 2 170 to 480 computations (77.9% saved)

end0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Profiling

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