Curve intersection, scale width based on ribbon orientation

Time bar (total: 12.0s)

start0.0ms (0%)

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

analyze533.0ms (4.4%)

Memory
1.7MiB live, 656.4MiB allocated; 207ms 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)

sample4.8s (40.2%)

Memory
-44.7MiB live, 5 552.5MiB allocated; 2.1s collecting garbage
Samples
2.8s8 256×0valid
930.0ms2 064×0invalid
Precisions
Click to see histograms. Total time spent on operations: 3.2s
ival-mult: 1.1s (34.1% of total)
ival-sin: 636.0ms (19.9% of total)
ival-<=: 631.0ms (19.7% of total)
const: 294.0ms (9.2% of total)
ival-div: 205.0ms (6.4% of total)
ival-add: 108.0ms (3.4% of total)
ival-pi: 80.0ms (2.5% of total)
ival-sub: 71.0ms (2.2% of total)
ival-and: 55.0ms (1.7% of total)
exact: 22.0ms (0.7% of total)
adjust: 4.0ms (0.1% of total)
ival-assert: 4.0ms (0.1% of total)
Bogosity

explain216.0ms (1.8%)

Memory
27.0MiB live, 596.5MiB allocated; 39ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
340-26(1.0800537604271182e-32 1.5691450361288162e-9 8.141264100172338e-20 7.480902683010465e-28)(*.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*u70
*.f32(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))u*o10
(*.f32 u normAngle)underflow8
(sin.f32 (*.f32 u normAngle))underflow8
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))overflow1
*.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 -
+510
-3238
Precision
0.625
Recall
0.3333333333333333
Confusion?
Predicted +Predicted MaybePredicted -
+5010
-30238
Precision?
0.625
Recall?
0.3333333333333333
Freqs
test
numberfreq
0248
17
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
76.0ms502×0valid
8.0ms10×1valid
Compiler

Compiled 231 to 55 computations (76.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-mult: 33.0ms (51.6% of total)
ival-sin: 12.0ms (18.8% of total)
adjust: 6.0ms (9.4% of total)
ival-sub: 6.0ms (9.4% of total)
ival-div: 4.0ms (6.3% of total)
ival-add: 2.0ms (3.1% of total)
ival-true: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess226.0ms (1.9%)

Memory
20.5MiB live, 239.6MiB allocated; 82ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

(abs normAngle)

Compiler

Compiled 25 to 17 computations (32% saved)

eval0.0ms (0%)

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

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.9%
(+.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)

simplify207.0ms (1.7%)

Memory
-17.0MiB live, 236.1MiB allocated; 83ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
cost-diff2
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
cost-diff2
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
cost-diff4
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
Iterations

Useful iterations: 0 (0.0ms)

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

localize55.0ms (0.5%)

Memory
-39.8MiB live, 152.7MiB allocated; 22ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.11328125
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
accuracy0.1171875
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
accuracy0.4990425293105746
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
accuracy2.5193305296013593
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
Samples
40.0ms251×0valid
1.0ms1valid
Compiler

Compiled 103 to 19 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 18.0ms (61.3% of total)
ival-sin: 6.0ms (20.4% of total)
ival-div: 2.0ms (6.8% of total)
ival-add: 1.0ms (3.4% of total)
ival-sub: 1.0ms (3.4% 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)

series60.0ms (0.5%)

Memory
28.6MiB live, 119.7MiB allocated; 8ms 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
29.0ms
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))
6.0ms
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))
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))
3.0ms
normAngle
@inf
((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (- 1 u) normAngle))
3.0ms
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))

simplify261.0ms (2.2%)

Memory
19.4MiB live, 309.2MiB allocated; 38ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite235.0ms (2%)

Memory
-24.2MiB live, 315.5MiB allocated; 96ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval35.0ms (0.3%)

Memory
-12.5MiB live, 90.3MiB allocated; 16ms collecting garbage
Compiler

Compiled 12 529 to 932 computations (92.6% saved)

prune13.0ms (0.1%)

Memory
-3.1MiB live, 43.3MiB allocated; 4ms collecting garbage
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New24913262
Fresh000
Picked101
Done000
Total25013263
Accuracy
100.0%
Counts
263 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.4%
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n1_i (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
70.9%
(/.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))
98.7%
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
95.9%
(+.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))
80.1%
(+.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))
96.2%
(+.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))
85.9%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (fma.f32 (*.f32 u (*.f32 #s(literal -1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u n0_i))
85.8%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i))
98.8%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
99.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
96.0%
#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))
96.0%
#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))
36.7%
#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 954 to 628 computations (34.2% saved)

simplify163.0ms (1.4%)

Memory
29.9MiB live, 215.5MiB allocated; 31ms collecting garbage
Algorithm
egg-herbie
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
(*.f32 normAngle u)
cost-diff0
(sin.f32 (*.f32 normAngle u))
cost-diff0
(fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
cost-diff0
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
cost-diff0
(/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))
cost-diff0
(fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i)
cost-diff0
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i))
cost-diff2
(-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i))
cost-diff0
(*.f32 n1_i u)
cost-diff0
(-.f32 #s(literal 1 binary32) u)
cost-diff0
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
cost-diff0
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
cost-diff0
(fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
cost-diff0
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
cost-diff1
(-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
cost-diff2
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058537
099537
1199501
2482488
31568484
44814484
08003479
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
(*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))))
#s(literal -1/6 binary32)
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
#s(literal 3 binary32)
n0_i
(-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
(*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)
(pow.f32 u #s(literal 3 binary32))
n1_i
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
(*.f32 n1_i u)
(*.f32 normAngle normAngle)
normAngle
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
n0_i
(*.f32 n1_i u)
n1_i
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i))
(fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i)
(/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))
(-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i))
(*.f32 n1_i normAngle)
n1_i
normAngle
(*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)
(*.f32 (cos.f32 normAngle) normAngle)
(cos.f32 normAngle)
n0_i
(sin.f32 normAngle)
u
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
(fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
n1_i
(sin.f32 (*.f32 normAngle u))
(*.f32 normAngle u)
normAngle
u
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
n0_i
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
(sin.f32 normAngle)
(+.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) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
(fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
(*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))))
(*.f32 (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i)) #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
(fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i))
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
#s(literal 3 binary32)
n0_i
(-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
(-.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)
(pow.f32 u #s(literal 3 binary32))
n1_i
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
(*.f32 n1_i u)
(*.f32 normAngle normAngle)
normAngle
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
n0_i
(*.f32 n1_i u)
n1_i
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 u (sin.f32 normAngle)) (*.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) normAngle) n0_i))
(fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i)
(fma.f32 (/.f32 u (sin.f32 normAngle)) (*.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) normAngle) n0_i)
(/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))
(*.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (/.f32 normAngle (sin.f32 normAngle)))
(-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i))
(*.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) normAngle)
(*.f32 n1_i normAngle)
n1_i
normAngle
(*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)
(*.f32 (cos.f32 normAngle) normAngle)
(cos.f32 normAngle)
n0_i
(sin.f32 normAngle)
u
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
(/.f32 (fma.f32 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 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i))
n1_i
(sin.f32 (*.f32 normAngle u))
(*.f32 normAngle u)
normAngle
u
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)
n0_i
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
(sin.f32 normAngle)
(+.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

localize188.0ms (1.6%)

Memory
-1.5MiB live, 288.7MiB allocated; 63ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.11166000976844202
(+.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))
accuracy0.11328125
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
accuracy0.1171875
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
accuracy0.4990425293105746
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
accuracy0.0703125
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
accuracy0.1015625
(fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
accuracy0.11328125
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
accuracy9.22878038369322
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
accuracy0.060878759768442016
(-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i))
accuracy0.0636687813218253
(fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i)
accuracy0.08423830945245483
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i))
accuracy8.357350782181305
(/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))
accuracy0.0
(-.f32 #s(literal 1 binary32) u)
accuracy0.0
(*.f32 n1_i u)
accuracy0.1484375
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
accuracy0.23090648910227818
#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)))
accuracy0.1484375
(*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)
accuracy0.4140625
(*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))))
accuracy0.5247650390737681
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))
accuracy7.825218190130266
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
Samples
105.0ms250×0valid
4.0ms1valid
Compiler

Compiled 470 to 52 computations (88.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 85.0ms
ival-mult: 39.0ms (46% of total)
ival-sin: 13.0ms (15.3% of total)
const: 8.0ms (9.4% of total)
ival-add: 7.0ms (8.3% of total)
ival-div: 6.0ms (7.1% of total)
ival-pow: 5.0ms (5.9% of total)
ival-sub: 4.0ms (4.7% of total)
ival-cos: 2.0ms (2.4% of total)
adjust: 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)

series97.0ms (0.8%)

Memory
-24.8MiB live, 162.5MiB allocated; 40ms collecting garbage
Counts
26 → 243
Calls
Call 1
Inputs
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
(-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
(-.f32 #s(literal 1 binary32) u)
(*.f32 n1_i u)
(-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i))
(fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i)
(/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
(fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(sin.f32 (*.f32 normAngle u))
(*.f32 normAngle u)
(*.f32 (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 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))))
(*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
Outputs
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u))))) (+ (* n0_i (- 1 u)) (* n1_i u)))
(* normAngle (- n1_i n0_i))
(* normAngle (- (+ n1_i (* 1/2 (* n0_i (pow normAngle 2)))) n0_i))
(* normAngle (- (+ n1_i (* (pow normAngle 2) (- (* -1/24 (* n0_i (pow normAngle 2))) (* -1/2 n0_i)))) n0_i))
(* normAngle (- (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* 1/720 (* n0_i (pow normAngle 2))) (* 1/24 n0_i))) (* -1/2 n0_i)))) n0_i))
(+ n0_i (* u (- n1_i n0_i)))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(- n1_i n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))) (+ (* -1/5040 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/120 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))))))))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u)))))))
(* normAngle (+ (* n0_i (- 1 u)) (* n1_i u)))
(* normAngle (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3))))))))
(* normAngle (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))))))))))
(* normAngle (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7))))))))))))))
(* normAngle u)
(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* 1/120 (* (pow normAngle 2) (pow u 5)))))))
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow u 7))) (* 1/120 (pow u 5))))))))
(- 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 (* n0_i (cos normAngle))))
(/ (* normAngle (* u (- n1_i (* n0_i (cos normAngle))))) (sin normAngle))
(* normAngle (+ (/ n0_i normAngle) (/ (* u (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))))
(/ (* normAngle (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle))
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u))))
(sin (* normAngle u))
(/ (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) (* -1 (* n0_i (cos normAngle))))))
(* -1 (/ (* normAngle (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle)))))) (sin normAngle)))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))))
(* -1 (/ (* normAngle (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))
(* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))
(* u (- (+ (* -3 n0_i) (* 3 (* n0_i u))) (+ n1_i (* -1 n0_i))))
(* u (- (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i)))))) (+ n1_i (* -1 n0_i))))
(* -1 n0_i)
(- (* -1 (* u (+ n1_i (* -1 n0_i)))) n0_i)
(- (* u (- (* n1_i (pow u 2)) (+ n1_i (* -1 n0_i)))) n0_i)
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))))
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))))))
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))))))
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i))))))))))))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
1
(+ 1 (* -1 u))
(* n1_i u)
(+ n0_i (* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))))
(* n0_i (sin normAngle))
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle))))
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle))))) (* n1_i normAngle)))))
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* n1_i normAngle) (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) (sin normAngle)))) (* u (+ (* -1/6 (* n1_i (pow normAngle 3))) (* 1/6 (* n0_i (* (pow normAngle 3) (cos normAngle))))))))))))
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2)))))
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2)))))))
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 7) (pow u 2))) (* 1/120 (pow normAngle 5))))))))
(+ 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)))
(* -1/6 (* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))
(* u (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))
(* u (+ (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))
(* n1_i (pow u 3))
normAngle
(+ normAngle (* -1 (* normAngle u)))
(+ (* -1 (* n0_i (* normAngle (* u (cos normAngle))))) (* n0_i (sin normAngle)))
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle))))))))
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) (sin normAngle)))) (* 1/6 (* n0_i (* (pow normAngle 3) (* u (cos normAngle))))))))))
(* (pow u 3) (+ n1_i (* -1 n0_i)))
(* (pow u 3) (+ n1_i (+ (* -1 n0_i) (* 3 (/ n0_i u)))))
(* (pow u 3) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (* 3 (/ n0_i u))))) (+ (* -1 (/ n0_i (pow u 2))) (/ n1_i (pow u 2)))))
(* (pow u 3) (+ n1_i (* -1 (/ (+ n1_i (* -1 n0_i)) (pow u 2)))))
(* (pow u 3) (- (+ n1_i (* -1 (/ n0_i (pow u 3)))) (+ (* -1 (/ n0_i (pow u 2))) (/ n1_i (pow u 2)))))
(* -1/6 (* (pow normAngle 2) (* (pow u 3) (+ n1_i (* -1 n0_i)))))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i))))))
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (/ n1_i (pow u 2)))))))
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2))))))))
(* u (+ n1_i (* -1 n0_i)))
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(* -1 u)
(* u (- (/ 1 u) 1))
(* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))
(* u (- (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))
(* -1 (pow u 3))
(* (pow u 3) (- (* 3 (/ 1 u)) 1))
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2)))))
(* (pow u 3) (- (+ (* 3 (/ 1 u)) (/ 1 (pow u 3))) (+ 1 (/ 3 (pow u 2)))))
(* -1/6 (* (pow u 3) (+ n1_i (* -1 n0_i))))
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (* -1/6 (+ n1_i (* -1 n0_i)))))
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/6 (/ (- (* -3 n0_i) (+ n1_i (* -1 n0_i))) (pow u 2))))))
(* -1 (* normAngle u))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(* -1 (* (pow u 3) (+ n0_i (* -1 n1_i))))
(* -1 (* (pow u 3) (+ n0_i (+ (* -3 (/ n0_i u)) (* -1 n1_i)))))
(* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ (* -1 (/ (- (* 3 n0_i) (+ n0_i (* -1 n1_i))) u)) (* 3 n0_i)) u))))))
(* -1 (* (pow u 3) (+ (* -1 n1_i) (* -1 (/ (+ n0_i (* -1 n1_i)) (pow u 2))))))
(* -1 (* (pow u 3) (- (+ (* -1 n1_i) (/ n0_i (pow u 3))) (+ (* -1 (/ n1_i (pow u 2))) (/ n0_i (pow u 2))))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(* 1/6 (* (pow normAngle 2) (* (pow u 3) (+ n0_i (* -1 n1_i)))))
(* -1 (* (pow u 3) (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (* -1/6 (* (pow normAngle 2) (- (* 3 n0_i) (+ n0_i (* -1 n1_i))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (+ (* -1 (/ n0_i u)) (* -1/6 (* (pow normAngle 2) (- (* 3 n0_i) (+ n0_i (* -1 n1_i)))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))))))
(* -1 (* u (+ n0_i (* -1 n1_i))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(* -1 (* u (- 1 (/ 1 u))))
(/ (* u (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle))))) (sin normAngle))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle)))) (sin normAngle))))))
(/ (+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u)))) (sin normAngle))
(+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u))))
(/ (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)))))
(* 1/6 (* (pow u 3) (+ n0_i (* -1 n1_i))))
(* -1 (* (pow u 3) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/2 (/ n0_i u)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/2 n0_i) (* 1/6 (/ (- (* 3 n0_i) (+ n0_i (* -1 n1_i))) u))) u)) (* -1/6 (+ n0_i (* -1 n1_i))))))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(* n0_i (sin (* normAngle (+ 1 (* -1 u)))))
(- (* n1_i (pow u 3)) (* n1_i u))
(- (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (pow u 3))) (* n1_i u))
(- (+ (* n0_i (- u 1)) (* n1_i (pow u 3))) (* n1_i u))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u))
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (+ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) (* n1_i u)))
(* n1_i normAngle)
(+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(* n1_i (sin (* normAngle u)))
(* -1/6 (- (* n1_i (pow u 3)) (* n1_i u)))
(+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* -1/6 (- (* n1_i (pow u 3)) (* n1_i u))))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(* n0_i (- (+ u (+ (/ (* n1_i (pow u 3)) n0_i) (pow (- 1 u) 3))) (+ 1 (/ (* n1_i u) n0_i))))
(* n0_i (- u 1))
(* n0_i (- (+ u (/ (* n1_i (pow u 3)) n0_i)) (+ 1 (/ (* n1_i u) n0_i))))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u))
(* n0_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u))) n0_i)) (/ (* n1_i u) n0_i)))) u))
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(* -1 (* n0_i (* normAngle (cos normAngle))))
(* n0_i (- (/ (* n1_i normAngle) n0_i) (* normAngle (cos normAngle))))
(* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(* n0_i (+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle u))) n0_i)))
(* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))
(* n0_i (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i))))
(* -1 (* n0_i (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))))
(* -1 (* n0_i (- (+ (* -1 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)) (* -1 (pow (- 1 u) 3))) (* -1 (- 1 u)))))
(* -1 (* n0_i (- 1 u)))
(* -1 (* n0_i (- (* -1 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)) (* -1 (- 1 u)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (- (* -1 (/ (* n1_i normAngle) n0_i)) (* -1 (* normAngle (cos normAngle))))))
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(* -1 (* n0_i (+ (* -1 (sin (* normAngle (- 1 u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i)))))
(* 1/6 (* n0_i (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))))
(* -1 (* n0_i (+ (* -1/6 (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))) (* 1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)))))
(- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))
(- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (- (pow u 3) u))) (* n0_i (- 1 u)))
(- (* n1_i (- (pow u 3) u)) (* n0_i (- 1 u)))
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u)))
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))))
(- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle))))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))
(+ (* -1/6 (* n1_i (- (pow u 3) u))) (* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))))
(* n1_i (- (pow u 3) u))
(* n1_i (- (+ (/ (* n0_i (pow (- 1 u) 3)) n1_i) (pow u 3)) (+ u (/ (* n0_i (- 1 u)) n1_i))))
(* n1_i (- (+ (* -1 (/ (* n0_i (- 1 u)) n1_i)) (pow u 3)) u))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))) n1_i)) (/ (* n0_i (- 1 u)) n1_i)))))
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(* n1_i (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i)))
(* -1/6 (* n1_i (- (pow u 3) u)))
(* n1_i (+ (* -1/6 (- (pow u 3) u)) (* -1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i))))
(* -1 (* n1_i (- (* -1 (pow u 3)) (* -1 u))))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)) (* -1 (pow u 3))) (* -1 u))))
(* -1 (* n1_i (- (+ (* -1 (pow u 3)) (/ (* n0_i (- 1 u)) n1_i)) (* -1 u))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u)))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) n1_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u))))))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(* -1 (* n1_i (+ (* -1 normAngle) (/ (* n0_i (* normAngle (cos normAngle))) n1_i))))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i)))))
(* 1/6 (* 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
14.0ms
u
@0
((+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (- 1 u) (* n1_i u) (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (/ (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (sin normAngle)) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (sin (* normAngle u)) (* normAngle u) (* (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) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* (pow u 3) n1_i) (* normAngle (- 1 u)) (* n0_i (sin (* normAngle (- 1 u)))) (* (- 1 u) normAngle))
13.0ms
normAngle
@0
((+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (- 1 u) (* n1_i u) (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (/ (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (sin normAngle)) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (sin (* normAngle u)) (* normAngle u) (* (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) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* (pow u 3) n1_i) (* normAngle (- 1 u)) (* n0_i (sin (* normAngle (- 1 u)))) (* (- 1 u) normAngle))
11.0ms
n0_i
@inf
((+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (- 1 u) (* n1_i u) (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (/ (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (sin normAngle)) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (sin (* normAngle u)) (* normAngle u) (* (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) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* (pow u 3) n1_i) (* normAngle (- 1 u)) (* n0_i (sin (* normAngle (- 1 u)))) (* (- 1 u) normAngle))
11.0ms
n1_i
@-inf
((+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (- 1 u) (* n1_i u) (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (/ (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (sin normAngle)) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (sin (* normAngle u)) (* normAngle u) (* (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) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* (pow u 3) n1_i) (* normAngle (- 1 u)) (* n0_i (sin (* normAngle (- 1 u)))) (* (- 1 u) normAngle))
6.0ms
n0_i
@-inf
((+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (- 1 u) (* n1_i u) (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (/ (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (sin normAngle)) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (sin (* normAngle u)) (* normAngle u) (* (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) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* (pow u 3) n1_i) (* normAngle (- 1 u)) (* n0_i (sin (* normAngle (- 1 u)))) (* (- 1 u) normAngle))

simplify252.0ms (2.1%)

Memory
20.6MiB live, 394.4MiB allocated; 44ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010705670
139005597
084575260
Stop Event
iter limit
node limit
Counts
243 → 241
Calls
Call 1
Inputs
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u))))) (+ (* n0_i (- 1 u)) (* n1_i u)))
(* normAngle (- n1_i n0_i))
(* normAngle (- (+ n1_i (* 1/2 (* n0_i (pow normAngle 2)))) n0_i))
(* normAngle (- (+ n1_i (* (pow normAngle 2) (- (* -1/24 (* n0_i (pow normAngle 2))) (* -1/2 n0_i)))) n0_i))
(* normAngle (- (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* 1/720 (* n0_i (pow normAngle 2))) (* 1/24 n0_i))) (* -1/2 n0_i)))) n0_i))
(+ n0_i (* u (- n1_i n0_i)))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(- n1_i n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))) (+ (* -1/5040 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/120 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))))))))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u)))))))
(* normAngle (+ (* n0_i (- 1 u)) (* n1_i u)))
(* normAngle (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3))))))))
(* normAngle (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))))))))))
(* normAngle (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7))))))))))))))
(* normAngle u)
(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* 1/120 (* (pow normAngle 2) (pow u 5)))))))
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow u 7))) (* 1/120 (pow u 5))))))))
(- 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 (* n0_i (cos normAngle))))
(/ (* normAngle (* u (- n1_i (* n0_i (cos normAngle))))) (sin normAngle))
(* normAngle (+ (/ n0_i normAngle) (/ (* u (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))))
(/ (* normAngle (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle))
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u))))
(sin (* normAngle u))
(/ (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) (* -1 (* n0_i (cos normAngle))))))
(* -1 (/ (* normAngle (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle)))))) (sin normAngle)))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))))
(* -1 (/ (* normAngle (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))
(* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))
(* u (- (+ (* -3 n0_i) (* 3 (* n0_i u))) (+ n1_i (* -1 n0_i))))
(* u (- (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i)))))) (+ n1_i (* -1 n0_i))))
(* -1 n0_i)
(- (* -1 (* u (+ n1_i (* -1 n0_i)))) n0_i)
(- (* u (- (* n1_i (pow u 2)) (+ n1_i (* -1 n0_i)))) n0_i)
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))))
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))))))
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))))))
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i))))))))))))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
1
(+ 1 (* -1 u))
(* n1_i u)
(+ n0_i (* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))))
(* n0_i (sin normAngle))
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle))))
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle))))) (* n1_i normAngle)))))
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* n1_i normAngle) (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) (sin normAngle)))) (* u (+ (* -1/6 (* n1_i (pow normAngle 3))) (* 1/6 (* n0_i (* (pow normAngle 3) (cos normAngle))))))))))))
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2)))))
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2)))))))
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 7) (pow u 2))) (* 1/120 (pow normAngle 5))))))))
(+ 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)))
(* -1/6 (* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))
(* u (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))
(* u (+ (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))
(* n1_i (pow u 3))
normAngle
(+ normAngle (* -1 (* normAngle u)))
(+ (* -1 (* n0_i (* normAngle (* u (cos normAngle))))) (* n0_i (sin normAngle)))
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle))))))))
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) (sin normAngle)))) (* 1/6 (* n0_i (* (pow normAngle 3) (* u (cos normAngle))))))))))
(* (pow u 3) (+ n1_i (* -1 n0_i)))
(* (pow u 3) (+ n1_i (+ (* -1 n0_i) (* 3 (/ n0_i u)))))
(* (pow u 3) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (* 3 (/ n0_i u))))) (+ (* -1 (/ n0_i (pow u 2))) (/ n1_i (pow u 2)))))
(* (pow u 3) (+ n1_i (* -1 (/ (+ n1_i (* -1 n0_i)) (pow u 2)))))
(* (pow u 3) (- (+ n1_i (* -1 (/ n0_i (pow u 3)))) (+ (* -1 (/ n0_i (pow u 2))) (/ n1_i (pow u 2)))))
(* -1/6 (* (pow normAngle 2) (* (pow u 3) (+ n1_i (* -1 n0_i)))))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i))))))
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (/ n1_i (pow u 2)))))))
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2))))))))
(* u (+ n1_i (* -1 n0_i)))
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(* -1 u)
(* u (- (/ 1 u) 1))
(* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))
(* u (- (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))
(* -1 (pow u 3))
(* (pow u 3) (- (* 3 (/ 1 u)) 1))
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2)))))
(* (pow u 3) (- (+ (* 3 (/ 1 u)) (/ 1 (pow u 3))) (+ 1 (/ 3 (pow u 2)))))
(* -1/6 (* (pow u 3) (+ n1_i (* -1 n0_i))))
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (* -1/6 (+ n1_i (* -1 n0_i)))))
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/6 (/ (- (* -3 n0_i) (+ n1_i (* -1 n0_i))) (pow u 2))))))
(* -1 (* normAngle u))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(* -1 (* (pow u 3) (+ n0_i (* -1 n1_i))))
(* -1 (* (pow u 3) (+ n0_i (+ (* -3 (/ n0_i u)) (* -1 n1_i)))))
(* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ (* -1 (/ (- (* 3 n0_i) (+ n0_i (* -1 n1_i))) u)) (* 3 n0_i)) u))))))
(* -1 (* (pow u 3) (+ (* -1 n1_i) (* -1 (/ (+ n0_i (* -1 n1_i)) (pow u 2))))))
(* -1 (* (pow u 3) (- (+ (* -1 n1_i) (/ n0_i (pow u 3))) (+ (* -1 (/ n1_i (pow u 2))) (/ n0_i (pow u 2))))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(* 1/6 (* (pow normAngle 2) (* (pow u 3) (+ n0_i (* -1 n1_i)))))
(* -1 (* (pow u 3) (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (* -1/6 (* (pow normAngle 2) (- (* 3 n0_i) (+ n0_i (* -1 n1_i))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (+ (* -1 (/ n0_i u)) (* -1/6 (* (pow normAngle 2) (- (* 3 n0_i) (+ n0_i (* -1 n1_i)))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))))))
(* -1 (* u (+ n0_i (* -1 n1_i))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(* -1 (* u (- 1 (/ 1 u))))
(/ (* u (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle))))) (sin normAngle))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle)))) (sin normAngle))))))
(/ (+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u)))) (sin normAngle))
(+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u))))
(/ (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)))))
(* 1/6 (* (pow u 3) (+ n0_i (* -1 n1_i))))
(* -1 (* (pow u 3) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/2 (/ n0_i u)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/2 n0_i) (* 1/6 (/ (- (* 3 n0_i) (+ n0_i (* -1 n1_i))) u))) u)) (* -1/6 (+ n0_i (* -1 n1_i))))))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(* n0_i (sin (* normAngle (+ 1 (* -1 u)))))
(- (* n1_i (pow u 3)) (* n1_i u))
(- (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (pow u 3))) (* n1_i u))
(- (+ (* n0_i (- u 1)) (* n1_i (pow u 3))) (* n1_i u))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u))
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (+ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) (* n1_i u)))
(* n1_i normAngle)
(+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(* n1_i (sin (* normAngle u)))
(* -1/6 (- (* n1_i (pow u 3)) (* n1_i u)))
(+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* -1/6 (- (* n1_i (pow u 3)) (* n1_i u))))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(* n0_i (- (+ u (+ (/ (* n1_i (pow u 3)) n0_i) (pow (- 1 u) 3))) (+ 1 (/ (* n1_i u) n0_i))))
(* n0_i (- u 1))
(* n0_i (- (+ u (/ (* n1_i (pow u 3)) n0_i)) (+ 1 (/ (* n1_i u) n0_i))))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u))
(* n0_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u))) n0_i)) (/ (* n1_i u) n0_i)))) u))
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(* -1 (* n0_i (* normAngle (cos normAngle))))
(* n0_i (- (/ (* n1_i normAngle) n0_i) (* normAngle (cos normAngle))))
(* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(* n0_i (+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle u))) n0_i)))
(* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))
(* n0_i (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i))))
(* -1 (* n0_i (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))))
(* -1 (* n0_i (- (+ (* -1 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)) (* -1 (pow (- 1 u) 3))) (* -1 (- 1 u)))))
(* -1 (* n0_i (- 1 u)))
(* -1 (* n0_i (- (* -1 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)) (* -1 (- 1 u)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (- (* -1 (/ (* n1_i normAngle) n0_i)) (* -1 (* normAngle (cos normAngle))))))
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(* -1 (* n0_i (+ (* -1 (sin (* normAngle (- 1 u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i)))))
(* 1/6 (* n0_i (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))))
(* -1 (* n0_i (+ (* -1/6 (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))) (* 1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)))))
(- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))
(- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (- (pow u 3) u))) (* n0_i (- 1 u)))
(- (* n1_i (- (pow u 3) u)) (* n0_i (- 1 u)))
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u)))
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))))
(- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle))))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))
(+ (* -1/6 (* n1_i (- (pow u 3) u))) (* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))))
(* n1_i (- (pow u 3) u))
(* n1_i (- (+ (/ (* n0_i (pow (- 1 u) 3)) n1_i) (pow u 3)) (+ u (/ (* n0_i (- 1 u)) n1_i))))
(* n1_i (- (+ (* -1 (/ (* n0_i (- 1 u)) n1_i)) (pow u 3)) u))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))) n1_i)) (/ (* n0_i (- 1 u)) n1_i)))))
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(* n1_i (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i)))
(* -1/6 (* n1_i (- (pow u 3) u)))
(* n1_i (+ (* -1/6 (- (pow u 3) u)) (* -1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i))))
(* -1 (* n1_i (- (* -1 (pow u 3)) (* -1 u))))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)) (* -1 (pow u 3))) (* -1 u))))
(* -1 (* n1_i (- (+ (* -1 (pow u 3)) (/ (* n0_i (- 1 u)) n1_i)) (* -1 u))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u)))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) n1_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u))))))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(* -1 (* n1_i (+ (* -1 normAngle) (/ (* n0_i (* normAngle (cos normAngle))) n1_i))))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i)))))
(* 1/6 (* n1_i (- (* -1 (pow u 3)) (* -1 u))))
(* -1 (* n1_i (+ (* -1/6 (- (* -1 (pow u 3)) (* -1 u))) (* 1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)))))
Outputs
(+ (* n0_i (- 1 u)) (* n1_i u))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(fma.f32 (-.f32 #s(literal 1 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 n0_i))
(*.f32 (-.f32 n1_i n0_i) normAngle)
(* normAngle (- (+ n1_i (* 1/2 (* n0_i (pow normAngle 2)))) n0_i))
(*.f32 (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) n1_i) n0_i) normAngle)
(* normAngle (- (+ n1_i (* (pow normAngle 2) (- (* -1/24 (* n0_i (pow normAngle 2))) (* -1/2 n0_i)))) n0_i))
(*.f32 (-.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) n1_i) n0_i) normAngle)
(* normAngle (- (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* 1/720 (* n0_i (pow normAngle 2))) (* 1/24 n0_i))) (* -1/2 n0_i)))) n0_i))
(*.f32 (-.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) n0_i) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) n0_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) n1_i) n0_i) normAngle)
(+ n0_i (* u (- n1_i n0_i)))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))
(+.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) (*.f32 normAngle normAngle)))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(+.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (fma.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 n1_i n0_i) u)) n0_i)
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(+.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle)))
(- n1_i n0_i)
(-.f32 n1_i n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))) n0_i)
(-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(-.f32 (fma.f32 (fma.f32 #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) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) n0_i)) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u)))))))
(fma.f32 (-.f32 #s(literal 1 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 #s(literal 1/6 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))) (*.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 #s(literal 1/6 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))) (*.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)
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1
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rewrite220.0ms (1.8%)

Memory
7.9MiB live, 392.4MiB allocated; 52ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058411
099411
1337379
22411379
08139378
Stop Event
iter limit
node limit
iter limit
Counts
26 → 582
Calls
Call 1
Inputs
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
(-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
(-.f32 #s(literal 1 binary32) u)
(*.f32 n1_i u)
(-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i))
(fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i)
(/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
(fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(sin.f32 (*.f32 normAngle u))
(*.f32 normAngle u)
(*.f32 (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 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))))
(*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
Outputs
(/.f32 (neg.f32 (-.f32 (pow.f32 (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) #s(literal 2 binary32)) (pow.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)) #s(literal 2 binary32)))) (neg.f32 (+.f32 (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal 2 binary32)))) (neg.f32 (-.f32 (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) #s(literal 3 binary32)) (pow.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)) #s(literal 2 binary32)) (*.f32 (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) #s(literal 2 binary32))))) (neg.f32 (neg.f32 (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 9 binary32)) (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) (-.f32 (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (pow.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal 2 binary32))))))
(/.f32 (-.f32 (*.f32 (pow.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal 2 binary32)) (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))))) (*.f32 (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))) (pow.f32 (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) #s(literal 2 binary32)))) (*.f32 (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))) (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))))))
(/.f32 (-.f32 (*.f32 (-.f32 (pow.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) #s(literal 2 binary32))) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))))) (*.f32 (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(/.f32 (-.f32 (*.f32 (-.f32 (pow.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) #s(literal 2 binary32))) (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (+.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n1_i) u))))) (*.f32 (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (-.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 (*.f32 (neg.f32 n1_i) u) #s(literal 3 binary32))))) (*.f32 (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (+.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (+.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n1_i) u))))))
(/.f32 (-.f32 (*.f32 (-.f32 (pow.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) #s(literal 2 binary32))) (neg.f32 (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))) (*.f32 (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (neg.f32 (-.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)))))) (*.f32 (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (neg.f32 (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))))
(/.f32 (-.f32 (*.f32 (-.f32 (pow.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) #s(literal 2 binary32))) (neg.f32 (fma.f32 (*.f32 n1_i u) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))))) (*.f32 (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (*.f32 n1_i u) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)))))) (*.f32 (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 n1_i u) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))))))
(/.f32 (-.f32 (*.f32 (-.f32 (pow.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) #s(literal 2 binary32))) (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (*.f32 (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (-.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32))))) (*.f32 (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))))
(/.f32 (-.f32 (*.f32 (-.f32 (pow.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) #s(literal 2 binary32))) (+.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i) u)))) (*.f32 (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (+.f32 (pow.f32 (*.f32 n1_i u) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))))) (*.f32 (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (+.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i) u)))))
(/.f32 (-.f32 (*.f32 (-.f32 (pow.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) #s(literal 2 binary32))) (fma.f32 (*.f32 n1_i u) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))) (*.f32 (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (+.f32 (pow.f32 (*.f32 n1_i u) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))))) (*.f32 (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (fma.f32 (*.f32 n1_i u) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))))
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(-.f32 (/.f32 (pow.f32 (*.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))))) (/.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))))))
(-.f32 (*.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32)) (*.f32 (neg.f32 (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))) #s(literal -1/6 binary32)))
(-.f32 (*.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32)) (*.f32 #s(literal 1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) n0_i (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))))
(fma.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))))
(fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) (*.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32)))
(fma.f32 (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) #s(literal -1/6 binary32) (*.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32)))
(fma.f32 n0_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))))
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 n0_i #s(literal -1/6 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))))
(+.f32 (/.f32 (*.f32 #s(literal -1/216 binary32) (pow.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))))))) (/.f32 (*.f32 #s(literal -1/216 binary32) (pow.f32 (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))))))))
(+.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))) (*.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32)))
(+.f32 (*.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))))
(*.f32 (*.f32 n1_i (pow.f32 u #s(literal 3/2 binary32))) (pow.f32 u #s(literal 3/2 binary32)))
(*.f32 (*.f32 n1_i (*.f32 u u)) u)
(*.f32 (pow.f32 u #s(literal 3/2 binary32)) (*.f32 (pow.f32 u #s(literal 3/2 binary32)) n1_i))
(*.f32 (*.f32 u u) (*.f32 n1_i u))
(*.f32 (*.f32 n1_i u) (*.f32 u u))
(*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))
(*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)
(*.f32 u (*.f32 (*.f32 u u) n1_i))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle)) (neg.f32 (+.f32 u #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle)) (neg.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u)))) (neg.f32 (+.f32 u #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))))) (neg.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 u #s(literal 1 binary32)))
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle)) (neg.f32 (+.f32 u #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle)) (neg.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u)))) (neg.f32 (+.f32 u #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))))) (neg.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 u #s(literal 1 binary32)))
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eval168.0ms (1.4%)

Memory
3.5MiB live, 320.9MiB allocated; 42ms collecting garbage
Compiler

Compiled 68 821 to 4 676 computations (93.2% saved)

prune37.0ms (0.3%)

Memory
-6.9MiB live, 94.4MiB allocated; 16ms collecting garbage
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1 009141 023
Fresh808
Picked415
Done000
Total1 021151 036
Accuracy
100.0%
Counts
1 036 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(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))
70.9%
(/.f32 (fma.f32 n1_i #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
98.5%
#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 u #s(literal 1 binary32))) n0_i (*.f32 n1_i u)))
98.8%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
99.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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))))
99.2%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.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))))
99.5%
#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) (* (* (cos normAngle) normAngle) n0_i)) (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) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) 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) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
99.1%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
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 (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u)) n0_i (*.f32 n1_i u)))
99.0%
#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))))
98.4%
#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 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i)))
98.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i)))
99.5%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.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)))
58.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.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 1 594 to 928 computations (41.8% saved)

simplify159.0ms (1.3%)

Memory
27.4MiB live, 223.0MiB allocated; 40ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (-.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)))
cost-diff0
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (-.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))))
cost-diff1
(fma.f32 #s(literal -1 binary32) n0_i n1_i)
cost-diff3
(-.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))
cost-diff0
(-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i)
cost-diff0
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i))
cost-diff0
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)
cost-diff0
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u 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 n1_i n0_i)
cost-diff0
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i))
cost-diff0
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)
cost-diff0
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
cost-diff0
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (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) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)
cost-diff0
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.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) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_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) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32))))
cost-diff7
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0841095
01331094
12671074
27001022
32732922
47325922
08337906
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.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) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (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) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (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) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) 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) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) 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) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_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) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_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) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))
(-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32))))
(*.f32 #s(literal -1/24 binary32) n0_i)
#s(literal -1/24 binary32)
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))
#s(literal 1/6 binary32)
(-.f32 n1_i n0_i)
n1_i
#s(literal -1/6 binary32)
(*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32))
#s(literal 1/120 binary32)
(*.f32 normAngle normAngle)
normAngle
u
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i))
(-.f32 n1_i n0_i)
n1_i
n0_i
u
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (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 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i))
(-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i)
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) n1_i)
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))
#s(literal 1/2 binary32)
n0_i
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))
#s(literal 1/6 binary32)
(-.f32 n1_i n0_i)
n1_i
(*.f32 normAngle normAngle)
normAngle
u
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (-.f32 (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))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (-.f32 (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)))
(*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (-.f32 (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)))
#s(literal -1/6 binary32)
#s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (-.f32 (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 (-.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 (-.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))
(-.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)
(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))
(fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u (*.f32 #s(literal 3 binary32) n0_i))
(fma.f32 #s(literal -1 binary32) n0_i n1_i)
#s(literal -1 binary32)
n0_i
n1_i
u
(*.f32 #s(literal 3 binary32) n0_i)
#s(literal 3 binary32)
(*.f32 #s(literal -3 binary32) n0_i)
#s(literal -3 binary32)
(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)
Outputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (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) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.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) (* (* (cos normAngle) normAngle) n0_i)) (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 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.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) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (*.f32 (-.f32 n1_i n0_i) #s(literal -7/360 binary32))) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.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) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i))
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (*.f32 (-.f32 n1_i n0_i) #s(literal -7/360 binary32))) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)))
(-.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) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) 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 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))
(fma.f32 (fma.f32 #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) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) 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 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) n1_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) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_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 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 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) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_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) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_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) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))
(fma.f32 #s(literal -1/12 binary32) n0_i (*.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) (-.f32 n1_i n0_i)))
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))
(*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))
#s(literal 1/6 binary32)
(-.f32 n1_i n0_i)
n1_i
#s(literal -1/6 binary32)
(*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32))
(*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))
#s(literal 1/120 binary32)
(*.f32 normAngle normAngle)
normAngle
u
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i))
(-.f32 n1_i n0_i)
n1_i
n0_i
u
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (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 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) n1_i) n0_i)) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) n1_i) n0_i)) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i))
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) n1_i) n0_i))
(-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i)
(-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) n1_i) n0_i)
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) n1_i)
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) n1_i)
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))
#s(literal 1/2 binary32)
n0_i
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))
(*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))
#s(literal 1/6 binary32)
(-.f32 n1_i n0_i)
n1_i
(*.f32 normAngle normAngle)
normAngle
u
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (-.f32 (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 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 n0_i #s(literal -2 binary32) (*.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u)) n1_i) u)) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (-.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)))
(fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 n0_i #s(literal -2 binary32) (*.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u)) n1_i) u)) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (-.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 #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 n0_i #s(literal -2 binary32) (*.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u)) n1_i) u)) #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
#s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (-.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))
#s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 n0_i #s(literal -2 binary32) (*.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u)) 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 (-.f32 (fma.f32 n0_i #s(literal -2 binary32) (*.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u)) n1_i) u)
(-.f32 (-.f32 (fma.f32 (fma.f32 (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))
(-.f32 (fma.f32 n0_i #s(literal -2 binary32) (*.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u)) n1_i)
(-.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)
(-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) n1_i)
(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))
(fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i))
(fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u (*.f32 #s(literal 3 binary32) n0_i))
(fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i))
(fma.f32 #s(literal -1 binary32) n0_i n1_i)
(-.f32 n1_i n0_i)
#s(literal -1 binary32)
n0_i
n1_i
u
(*.f32 #s(literal 3 binary32) n0_i)
#s(literal 3 binary32)
(*.f32 #s(literal -3 binary32) n0_i)
#s(literal -3 binary32)
(neg.f32 n0_i)
(*.f32 normAngle normAngle)
normAngle
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
(*.f32 n1_i u)

localize348.0ms (2.9%)

Memory
5.0MiB live, 379.8MiB allocated; 101ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.193691259768442
(fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u (*.f32 #s(literal 3 binary32) n0_i))
accuracy0.22722626953688402
(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))
accuracy0.303730029305326
(-.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))
accuracy0.41015625
(*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (-.f32 (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)))
accuracy0.08423830945245483
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
accuracy0.18561791112495007
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i))
accuracy0.2421875
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))
accuracy0.35546875
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))
accuracy0.12890625
(fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)
accuracy0.14453125
(/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)
accuracy0.21484375
(*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i)
accuracy0.23090648910227818
#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
(-.f32 n1_i n0_i)
accuracy0.0597625313218253
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)
accuracy0.08423830945245483
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
accuracy0.7461045207141289
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i))
accuracy0.35546875
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))
accuracy0.43101503907376815
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))
accuracy0.4353677246741665
(-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32))))
accuracy0.599941259768442
(*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32))
Samples
263.0ms249×0valid
17.0ms5exit
1.0ms1valid
Compiler

Compiled 767 to 82 computations (89.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 215.0ms
ival-sub: 73.0ms (33.9% of total)
ival-mult: 49.0ms (22.8% of total)
ival-add: 34.0ms (15.8% of total)
ival-pow: 21.0ms (9.8% of total)
const: 14.0ms (6.5% of total)
adjust: 8.0ms (3.7% of total)
ival-div: 6.0ms (2.8% of total)
ival-sin: 6.0ms (2.8% of total)
ival-cos: 2.0ms (0.9% of total)
exact: 1.0ms (0.5% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series201.0ms (1.7%)

Memory
7.5MiB live, 245.7MiB allocated; 30ms collecting garbage
Counts
27 → 249
Calls
Call 1
Inputs
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))
(-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (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) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (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) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.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) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i))
(-.f32 n1_i n0_i)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #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)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i))
(-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i)
(-.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))
(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)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (-.f32 (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))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (-.f32 (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)))
(*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32))
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))
(/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))
(*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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)))
(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))
(fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u (*.f32 #s(literal 3 binary32) 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)))))))
(+ n0_i (* u (- n1_i n0_i)))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(- n1_i n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))) n0_i)
(+ (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u))))) (+ (* n0_i (- 1 u)) (* n1_i u)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* normAngle (* u (- n1_i (* n0_i (cos normAngle))))) (sin normAngle))
(* normAngle (+ (/ n0_i normAngle) (/ (* u (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))))
(/ (* normAngle (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))
(* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))
(* (pow normAngle 2) (- (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2))))
(* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u)))))
(* (pow normAngle 2) (+ (* -1/6 (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))
(* -1 (/ (* normAngle (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle)))))) (sin normAngle)))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))))
(* -1 (/ (* normAngle (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))))
(+ n0_i (* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(+ 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)
(- (+ n0_i (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i))))))) n1_i)
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))))))
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))))))
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i))))))))))))
(/ 1 n1_i)
(+ (* -1 (/ u n1_i)) (/ 1 n1_i))
(* -1/6 (* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))
(* u (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))
(* u (+ (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))
(* -3 n0_i)
(+ (* -3 n0_i) (* 3 (* n0_i u)))
(+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i))))))
(* 3 n0_i)
(+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i))))
(* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))
(* u (- (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))
(* u (+ n1_i (* -1 n0_i)))
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(* 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)))))
(* (pow u 2) (+ n1_i (* -1 n0_i)))
(* (pow u 2) (+ n1_i (+ (* -1 n0_i) (* 3 (/ n0_i u)))))
(* (pow u 2) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* 3 (/ n0_i u)) (/ 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 (/ u n1_i))
(* u (- (/ 1 (* n1_i u)) (/ 1 n1_i)))
(* -1/6 (* (pow u 3) (+ n1_i (* -1 n0_i))))
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (* -1/6 (+ n1_i (* -1 n0_i)))))
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/6 (/ (- (* -3 n0_i) (+ n1_i (* -1 n0_i))) (pow u 2))))))
(* (pow u 2) (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (* 3 (/ n0_i u))))))
(* u (+ n1_i (+ (* -1 n0_i) (* 3 (/ n0_i u)))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* u (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle))))) (sin normAngle))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle)))) (sin normAngle))))))
(* -1 (* u (+ n0_i (* -1 n1_i))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(* -1 (* 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)))
(* (pow u 2) (+ n1_i (+ (* -1 n0_i) (* -1 (/ (+ (* -3 n0_i) (* -1 (/ (- (+ n0_i (* -3 n0_i)) n1_i) u))) 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 (* u (- (/ 1 n1_i) (/ 1 (* n1_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))))))
(* (pow u 2) (+ n1_i (+ (* -1 n0_i) (* -1 (/ (+ (* -3 n0_i) (* 3 (/ n0_i u))) u)))))
(* -1 (* u (+ (* -3 (/ n0_i u)) (* -1 (+ n1_i (* -1 n0_i))))))
(+ (* -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)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
n1_i
(+ n1_i (* -1 n0_i))
(* 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))))
(+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))
(+ n1_i (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))))
(- (* n1_i (pow u 2)) n1_i)
(- (+ (* n0_i (- (* u (+ 3 (* -1 u))) 2)) (* n1_i (pow u 2))) n1_i)
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u))
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (+ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) (* n1_i u)))
(* 1/120 n1_i)
(+ (* -1/120 n0_i) (* 1/120 n1_i))
(* 1/6 n1_i)
(+ (* -1/6 n0_i) (* 1/6 n1_i))
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(* -1/6 (- (* 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 (pow u 2))
(+ (* n0_i (- (* u (+ 3 (* -1 u))) 3)) (* n1_i (pow u 2)))
(+ (* n0_i (+ 3 (* -1 u))) (* 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 (sin (* normAngle (- 1 u)))) (sin normAngle))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(* -1 n0_i)
(* n0_i (- (/ n1_i n0_i) 1))
(* n0_i (- 1 u))
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(* 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 (- (* 1/3 (pow normAngle 2)) 1))
(* n0_i (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/3 (pow normAngle 2)) (/ n1_i n0_i))) 1))
(* n0_i (- (* u (+ 3 (* -1 u))) 2))
(* n0_i (- (+ (* u (+ 3 (* -1 u))) (/ (* n1_i (pow u 2)) n0_i)) (+ 2 (/ n1_i n0_i))))
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u))
(* n0_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u))) n0_i)) (/ (* n1_i u) n0_i)))) u))
(* -1/120 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))
(* 1/3 n0_i)
(* n0_i (+ 1/3 (* 1/6 (/ n1_i 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))))
(* n0_i (- (* u (+ 3 (* -1 u))) 3))
(* n0_i (- (+ (* u (+ 3 (* -1 u))) (/ (* n1_i (pow u 2)) n0_i)) 3))
(* n0_i (+ 3 (* -1 u)))
(* n0_i (+ 3 (+ (* -1 u) (/ (* 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 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(* -1 (* n0_i (+ 1 (* -1 (/ n1_i n0_i)))))
(* -1 (* n0_i (+ (* -1 (- 1 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 (+ 1 (* -1/3 (pow normAngle 2)))))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) n0_i)) (* -1/3 (pow normAngle 2))))))
(* -1 (* n0_i (+ 2 (* u (- u 3)))))
(* -1 (* n0_i (+ 2 (+ (* -1 (/ (- (* n1_i (pow u 2)) n1_i) n0_i)) (* u (- u 3))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))))))))
(* -1 (* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i)))))
(* -1 (* n0_i (+ 1/6 (* -1/6 (/ n1_i n0_i)))))
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))
(* 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 (+ 3 (* u (- u 3)))))
(* -1 (* n0_i (+ 3 (+ (* -1 (/ (* n1_i (pow u 2)) n0_i)) (* u (- u 3))))))
(* -1 (* n0_i (- u 3)))
(* -1 (* n0_i (- (+ u (* -1 (/ (* n1_i u) n0_i))) 3)))
(+ (* -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)))
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(/ (+ (* n0_i (- 1 u)) (* n1_i u)) n1_i)
(- (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/2 n0_i))) n0_i)
(- (+ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/2 n0_i)))) n0_i)
(+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))
(+ n0_i (+ (* -3 n0_i) (+ (* n1_i (- (pow u 2) 1)) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))))
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u)))
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))))
(/ (- 1 u) n1_i)
(+ (* -1/6 n0_i) (* 1/2 n0_i))
(+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (* 1/2 n0_i)))
(* -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)))))
(+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))
(+ (* -3 n0_i) (+ (* n1_i (pow u 2)) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))
(+ (* -1 (* n0_i u)) (* 3 n0_i))
(+ (* -1 (* n0_i u)) (+ (* 3 n0_i) (* n1_i 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 (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(* n1_i (+ 1 (* -1 (/ n0_i n1_i))))
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(+ u (/ (* n0_i (- 1 u)) n1_i))
(* n1_i (+ 1 (* 1/6 (pow normAngle 2))))
(* n1_i (- (+ 1 (+ (* 1/6 (pow normAngle 2)) (/ (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/2 n0_i))) n1_i))) (/ n0_i n1_i)))
(* n1_i (- (pow u 2) 1))
(* n1_i (- (+ (* -3 (/ n0_i n1_i)) (+ (/ n0_i n1_i) (+ (/ (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))) n1_i) (pow u 2)))) 1))
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))) n1_i)) (/ (* n0_i (- 1 u)) n1_i)))))
(* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i))))
(* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i))))
(* n1_i (+ 1/6 (+ (* -1/6 (/ n0_i n1_i)) (* 1/2 (/ n0_i n1_i)))))
(* -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 (+ (* -3 (/ n0_i n1_i)) (+ (/ (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))) n1_i) (pow u 2))))
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (* 3 (/ n0_i 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 (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(* -1 (* n1_i (- (/ n0_i n1_i) 1)))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(* -1 (* n1_i (- (* -1/6 (pow normAngle 2)) 1)))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/2 n0_i))) n0_i) n1_i)) (* -1/6 (pow normAngle 2))) 1)))
(* -1 (* n1_i (+ 1 (* -1 (pow u 2)))))
(* -1 (* n1_i (+ 1 (+ (* -1 (/ (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))) n1_i)) (* -1 (pow u 2))))))
(* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u)))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) n1_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u))))))))
(* -1 (* 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 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) 1/6)))
(* 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 (/ (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))) n1_i)) (* -1 (pow u 2)))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ (* -1 (* n0_i u)) (* 3 n0_i)) n1_i)))))
Calls

12 calls:

TimeVariablePointExpression
87.0ms
n0_i
@inf
((+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120)) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (- n1_i n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (+ (* n0_i (/ (- 1 u) n1_i)) u) n1_i) (+ (* n0_i (/ (- 1 u) n1_i)) u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (- (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) n1_i) n0_i) (- (- (+ (* (+ (* (+ (* -1 n0_i) n1_i) u) (* 3 n0_i)) u) (* -3 n0_i)) n1_i) (neg n0_i)) (+ (* -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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* (- n1_i n0_i) 1/120) (* 1/6 (- n1_i n0_i)) (/ (- 1 u) n1_i) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (+ (* (+ (* (+ (* -1 n0_i) n1_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (+ (* (+ (* -1 n0_i) n1_i) u) (* 3 n0_i)))
33.0ms
u
@inf
((+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120)) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (- n1_i n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (+ (* n0_i (/ (- 1 u) n1_i)) u) n1_i) (+ (* n0_i (/ (- 1 u) n1_i)) u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (- (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) n1_i) n0_i) (- (- (+ (* (+ (* (+ (* -1 n0_i) n1_i) u) (* 3 n0_i)) u) (* -3 n0_i)) n1_i) (neg n0_i)) (+ (* -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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* (- n1_i n0_i) 1/120) (* 1/6 (- n1_i n0_i)) (/ (- 1 u) n1_i) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (+ (* (+ (* (+ (* -1 n0_i) n1_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (+ (* (+ (* -1 n0_i) n1_i) u) (* 3 n0_i)))
19.0ms
n1_i
@inf
((+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120)) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (- n1_i n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (+ (* n0_i (/ (- 1 u) n1_i)) u) n1_i) (+ (* n0_i (/ (- 1 u) n1_i)) u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (- (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) n1_i) n0_i) (- (- (+ (* (+ (* (+ (* -1 n0_i) n1_i) u) (* 3 n0_i)) u) (* -3 n0_i)) n1_i) (neg n0_i)) (+ (* -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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* (- n1_i n0_i) 1/120) (* 1/6 (- n1_i n0_i)) (/ (- 1 u) n1_i) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (+ (* (+ (* (+ (* -1 n0_i) n1_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (+ (* (+ (* -1 n0_i) n1_i) u) (* 3 n0_i)))
7.0ms
n1_i
@-inf
((+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120)) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (- n1_i n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (+ (* n0_i (/ (- 1 u) n1_i)) u) n1_i) (+ (* n0_i (/ (- 1 u) n1_i)) u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (- (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) n1_i) n0_i) (- (- (+ (* (+ (* (+ (* -1 n0_i) n1_i) u) (* 3 n0_i)) u) (* -3 n0_i)) n1_i) (neg n0_i)) (+ (* -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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* (- n1_i n0_i) 1/120) (* 1/6 (- n1_i n0_i)) (/ (- 1 u) n1_i) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (+ (* (+ (* (+ (* -1 n0_i) n1_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (+ (* (+ (* -1 n0_i) n1_i) u) (* 3 n0_i)))
6.0ms
n0_i
@-inf
((+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120)) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (- n1_i n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (+ (* n0_i (/ (- 1 u) n1_i)) u) n1_i) (+ (* n0_i (/ (- 1 u) n1_i)) u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (- (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) n1_i) n0_i) (- (- (+ (* (+ (* (+ (* -1 n0_i) n1_i) u) (* 3 n0_i)) u) (* -3 n0_i)) n1_i) (neg n0_i)) (+ (* -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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* (- n1_i n0_i) 1/120) (* 1/6 (- n1_i n0_i)) (/ (- 1 u) n1_i) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (+ (* (+ (* (+ (* -1 n0_i) n1_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (+ (* (+ (* -1 n0_i) n1_i) u) (* 3 n0_i)))

simplify339.0ms (2.8%)

Memory
-26.7MiB live, 338.0MiB allocated; 66ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09674462
134564225
086553979
Stop Event
iter limit
node limit
Counts
249 → 246
Calls
Call 1
Inputs
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ n0_i (* u (- n1_i n0_i)))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(- n1_i n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))) n0_i)
(+ (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u))))) (+ (* n0_i (- 1 u)) (* n1_i u)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* normAngle (* u (- n1_i (* n0_i (cos normAngle))))) (sin normAngle))
(* normAngle (+ (/ n0_i normAngle) (/ (* u (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))))
(/ (* normAngle (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))
(* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))
(* (pow normAngle 2) (- (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2))))
(* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u)))))
(* (pow normAngle 2) (+ (* -1/6 (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))
(* -1 (/ (* normAngle (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle)))))) (sin normAngle)))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))))
(* -1 (/ (* normAngle (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))))
(+ n0_i (* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(+ 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)
(- (+ n0_i (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i))))))) n1_i)
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))))))
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))))))
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i))))))))))))
(/ 1 n1_i)
(+ (* -1 (/ u n1_i)) (/ 1 n1_i))
(* -1/6 (* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))
(* u (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))
(* u (+ (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))
(* -3 n0_i)
(+ (* -3 n0_i) (* 3 (* n0_i u)))
(+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i))))))
(* 3 n0_i)
(+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i))))
(* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))
(* u (- (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))
(* u (+ n1_i (* -1 n0_i)))
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(* 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)))))
(* (pow u 2) (+ n1_i (* -1 n0_i)))
(* (pow u 2) (+ n1_i (+ (* -1 n0_i) (* 3 (/ n0_i u)))))
(* (pow u 2) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* 3 (/ n0_i u)) (/ 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 (/ u n1_i))
(* u (- (/ 1 (* n1_i u)) (/ 1 n1_i)))
(* -1/6 (* (pow u 3) (+ n1_i (* -1 n0_i))))
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (* -1/6 (+ n1_i (* -1 n0_i)))))
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/6 (/ (- (* -3 n0_i) (+ n1_i (* -1 n0_i))) (pow u 2))))))
(* (pow u 2) (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (* 3 (/ n0_i u))))))
(* u (+ n1_i (+ (* -1 n0_i) (* 3 (/ n0_i u)))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* u (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle))))) (sin normAngle))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle)))) (sin normAngle))))))
(* -1 (* u (+ n0_i (* -1 n1_i))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(* -1 (* 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)))
(* (pow u 2) (+ n1_i (+ (* -1 n0_i) (* -1 (/ (+ (* -3 n0_i) (* -1 (/ (- (+ n0_i (* -3 n0_i)) n1_i) u))) 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 (* u (- (/ 1 n1_i) (/ 1 (* n1_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))))))
(* (pow u 2) (+ n1_i (+ (* -1 n0_i) (* -1 (/ (+ (* -3 n0_i) (* 3 (/ n0_i u))) u)))))
(* -1 (* u (+ (* -3 (/ n0_i u)) (* -1 (+ n1_i (* -1 n0_i))))))
(+ (* -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)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
n1_i
(+ n1_i (* -1 n0_i))
(* 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))))
(+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))
(+ n1_i (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))))
(- (* n1_i (pow u 2)) n1_i)
(- (+ (* n0_i (- (* u (+ 3 (* -1 u))) 2)) (* n1_i (pow u 2))) n1_i)
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u))
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (+ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) (* n1_i u)))
(* 1/120 n1_i)
(+ (* -1/120 n0_i) (* 1/120 n1_i))
(* 1/6 n1_i)
(+ (* -1/6 n0_i) (* 1/6 n1_i))
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(* -1/6 (- (* 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 (pow u 2))
(+ (* n0_i (- (* u (+ 3 (* -1 u))) 3)) (* n1_i (pow u 2)))
(+ (* n0_i (+ 3 (* -1 u))) (* 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 (sin (* normAngle (- 1 u)))) (sin normAngle))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(* -1 n0_i)
(* n0_i (- (/ n1_i n0_i) 1))
(* n0_i (- 1 u))
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(* 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 (- (* 1/3 (pow normAngle 2)) 1))
(* n0_i (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/3 (pow normAngle 2)) (/ n1_i n0_i))) 1))
(* n0_i (- (* u (+ 3 (* -1 u))) 2))
(* n0_i (- (+ (* u (+ 3 (* -1 u))) (/ (* n1_i (pow u 2)) n0_i)) (+ 2 (/ n1_i n0_i))))
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u))
(* n0_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u))) n0_i)) (/ (* n1_i u) n0_i)))) u))
(* -1/120 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))
(* 1/3 n0_i)
(* n0_i (+ 1/3 (* 1/6 (/ n1_i 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))))
(* n0_i (- (* u (+ 3 (* -1 u))) 3))
(* n0_i (- (+ (* u (+ 3 (* -1 u))) (/ (* n1_i (pow u 2)) n0_i)) 3))
(* n0_i (+ 3 (* -1 u)))
(* n0_i (+ 3 (+ (* -1 u) (/ (* 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 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(* -1 (* n0_i (+ 1 (* -1 (/ n1_i n0_i)))))
(* -1 (* n0_i (+ (* -1 (- 1 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 (+ 1 (* -1/3 (pow normAngle 2)))))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) n0_i)) (* -1/3 (pow normAngle 2))))))
(* -1 (* n0_i (+ 2 (* u (- u 3)))))
(* -1 (* n0_i (+ 2 (+ (* -1 (/ (- (* n1_i (pow u 2)) n1_i) n0_i)) (* u (- u 3))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))))))))
(* -1 (* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i)))))
(* -1 (* n0_i (+ 1/6 (* -1/6 (/ n1_i n0_i)))))
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))
(* 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 (+ 3 (* u (- u 3)))))
(* -1 (* n0_i (+ 3 (+ (* -1 (/ (* n1_i (pow u 2)) n0_i)) (* u (- u 3))))))
(* -1 (* n0_i (- u 3)))
(* -1 (* n0_i (- (+ u (* -1 (/ (* n1_i u) n0_i))) 3)))
(+ (* -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)))
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(/ (+ (* n0_i (- 1 u)) (* n1_i u)) n1_i)
(- (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/2 n0_i))) n0_i)
(- (+ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/2 n0_i)))) n0_i)
(+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))
(+ n0_i (+ (* -3 n0_i) (+ (* n1_i (- (pow u 2) 1)) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))))
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u)))
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))))
(/ (- 1 u) n1_i)
(+ (* -1/6 n0_i) (* 1/2 n0_i))
(+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (* 1/2 n0_i)))
(* -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)))))
(+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))
(+ (* -3 n0_i) (+ (* n1_i (pow u 2)) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))
(+ (* -1 (* n0_i u)) (* 3 n0_i))
(+ (* -1 (* n0_i u)) (+ (* 3 n0_i) (* n1_i 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 (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(* n1_i (+ 1 (* -1 (/ n0_i n1_i))))
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(+ u (/ (* n0_i (- 1 u)) n1_i))
(* n1_i (+ 1 (* 1/6 (pow normAngle 2))))
(* n1_i (- (+ 1 (+ (* 1/6 (pow normAngle 2)) (/ (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/2 n0_i))) n1_i))) (/ n0_i n1_i)))
(* n1_i (- (pow u 2) 1))
(* n1_i (- (+ (* -3 (/ n0_i n1_i)) (+ (/ n0_i n1_i) (+ (/ (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))) n1_i) (pow u 2)))) 1))
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))) n1_i)) (/ (* n0_i (- 1 u)) n1_i)))))
(* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i))))
(* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i))))
(* n1_i (+ 1/6 (+ (* -1/6 (/ n0_i n1_i)) (* 1/2 (/ n0_i n1_i)))))
(* -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 (+ (* -3 (/ n0_i n1_i)) (+ (/ (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))) n1_i) (pow u 2))))
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (* 3 (/ n0_i 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 (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(* -1 (* n1_i (- (/ n0_i n1_i) 1)))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(* -1 (* n1_i (- (* -1/6 (pow normAngle 2)) 1)))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/2 n0_i))) n0_i) n1_i)) (* -1/6 (pow normAngle 2))) 1)))
(* -1 (* n1_i (+ 1 (* -1 (pow u 2)))))
(* -1 (* n1_i (+ 1 (+ (* -1 (/ (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))) n1_i)) (* -1 (pow u 2))))))
(* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u)))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) n1_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u))))))))
(* -1 (* 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 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) 1/6)))
(* 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 (/ (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))) n1_i)) (* -1 (pow u 2)))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ (* -1 (* n0_i u)) (* 3 n0_i)) n1_i)))))
Outputs
(+ (* n0_i (- 1 u)) (* n1_i u))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(fma.f32 (*.f32 (-.f32 (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 u n1_i))) #s(literal -1/6 binary32)) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -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 (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(fma.f32 (-.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 u #s(literal 7 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i))) (fma.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal 1/120 binary32) 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 (-.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) (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)))
(+ n0_i (* u (- n1_i n0_i)))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 u n0_i)) (fma.f32 (*.f32 #s(literal 1/120 binary32) u) (-.f32 n1_i n0_i) (*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 u n0_i)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 u n0_i)) (fma.f32 (*.f32 #s(literal 1/120 binary32) u) (-.f32 n1_i n0_i) (*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 #s(literal -1/5040 binary32) u) (-.f32 n1_i n0_i) (*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal 1/120 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 u n0_i))) (fma.f32 (*.f32 #s(literal 1/120 binary32) u) (-.f32 n1_i n0_i) (*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(- n1_i n0_i)
(-.f32 n1_i n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))) n0_i)
(-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) n1_i) n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(-.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(-.f32 (fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) n0_i)) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))) n0_i)
(-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) n1_i) n0_i)
(+ (* -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 u n1_i))) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))
(/ (* normAngle (* u (- n1_i (* n0_i (cos normAngle))))) (sin normAngle))
(/.f32 (*.f32 (*.f32 normAngle u) (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i))) (sin.f32 normAngle))
(* normAngle (+ (/ n0_i normAngle) (/ (* u (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))))
(*.f32 (fma.f32 u (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)) (/.f32 n0_i normAngle)) normAngle)
(/ (* normAngle (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))
(*.f32 normAngle (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)))
(* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))
(*.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle))
(* (pow normAngle 2) (- (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2))))
(*.f32 (-.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (fma.f32 #s(literal 1/2 binary32) n0_i (/.f32 n1_i (*.f32 normAngle normAngle)))) (/.f32 n0_i (*.f32 normAngle normAngle))) (*.f32 normAngle 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 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 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 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 (/ (* normAngle (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle)))))) (sin normAngle)))
(/.f32 (*.f32 (*.f32 normAngle u) (fma.f32 #s(literal -1 binary32) n1_i (*.f32 (cos.f32 normAngle) n0_i))) (neg.f32 (sin.f32 normAngle)))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))))
(*.f32 (neg.f32 normAngle) (fma.f32 u (/.f32 (fma.f32 #s(literal -1 binary32) n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)) (/.f32 (neg.f32 n0_i) normAngle)))
(* -1 (/ (* normAngle (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))
(*.f32 (neg.f32 normAngle) (/.f32 (fma.f32 #s(literal -1 binary32) n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (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 (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u n0_i)
(+ n0_i (* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))))
(fma.f32 (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i)
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+ n0_i (* n1_i (* u (+ 1 (* -1 (/ n0_i n1_i))))))
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(fma.f32 #s(literal -2 binary32) n0_i (fma.f32 (-.f32 (*.f32 u u) #s(literal 1 binary32)) n1_i (*.f32 (*.f32 (-.f32 #s(literal 3 binary32) u) n0_i) u)))
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u)))
(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))
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))))
(fma.f32 (*.f32 #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))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) n1_i (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))
(/ (- 1 u) n1_i)
(/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)
(+ (* -1/6 n0_i) (* 1/2 n0_i))
(*.f32 #s(literal 1/3 binary32) n0_i)
(+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (* 1/2 n0_i)))
(fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))
(* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))
(*.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)))
(+ (* -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)))))
(+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))
(fma.f32 (*.f32 (-.f32 #s(literal 3 binary32) u) n0_i) u (*.f32 #s(literal -3 binary32) n0_i))
(+ (* -3 n0_i) (+ (* n1_i (pow u 2)) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))
(fma.f32 (*.f32 u u) n1_i (fma.f32 (*.f32 (-.f32 #s(literal 3 binary32) u) n0_i) u (*.f32 #s(literal -3 binary32) n0_i)))
(+ (* -1 (* n0_i u)) (* 3 n0_i))
(*.f32 (-.f32 #s(literal 3 binary32) u) n0_i)
(+ (* -1 (* n0_i u)) (+ (* 3 n0_i) (* n1_i u)))
(fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i))
(* -7/360 n1_i)
(*.f32 #s(literal -7/360 binary32) n1_i)
(* n1_i (- (+ (* -1/6 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) (* -1/120 (/ n0_i n1_i))) 7/360))
(*.f32 (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/3 binary32) n0_i) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) n0_i)) n1_i) #s(literal 7/360 binary32)) n1_i)
(* 7/360 n1_i)
(*.f32 #s(literal 7/360 binary32) n1_i)
(* n1_i (- (+ 7/360 (* -1/24 (/ n0_i n1_i))) (+ (* -1/6 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) (* -1/120 (/ n0_i n1_i)))))
(*.f32 (+.f32 #s(literal 7/360 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (*.f32 #s(literal 1/3 binary32) n0_i) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) n0_i))) n1_i)) n1_i)
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(*.f32 (/.f32 (+.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) n1_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i)
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(*.f32 (fma.f32 (/.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 (+ 1 (* -1 (/ n0_i n1_i))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 n0_i n1_i)) n1_i)
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) n1_i)
(+ u (/ (* n0_i (- 1 u)) n1_i))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u)
(* n1_i (+ 1 (* 1/6 (pow normAngle 2))))
(*.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) n1_i)
(* n1_i (- (+ 1 (+ (* 1/6 (pow normAngle 2)) (/ (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/2 n0_i))) n1_i))) (/ n0_i n1_i)))
(*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (/.f32 n0_i n1_i) #s(literal 1/3 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (/.f32 n0_i n1_i)) n1_i)
(* n1_i (- (pow u 2) 1))
(*.f32 (-.f32 (*.f32 u u) #s(literal 1 binary32)) n1_i)
(* n1_i (- (+ (* -3 (/ n0_i n1_i)) (+ (/ n0_i n1_i) (+ (/ (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))) n1_i) (pow u 2)))) 1))
(*.f32 (-.f32 (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) n0_i (*.f32 (*.f32 (-.f32 #s(literal 3 binary32) u) n0_i) u)) n1_i) (*.f32 u u)) #s(literal 1 binary32)) 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 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 normAngle normAngle) (/.f32 (*.f32 (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 normAngle normAngle)) n1_i)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u)) n1_i)
(* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i))))
(*.f32 (fma.f32 #s(literal -1/120 binary32) (/.f32 n0_i n1_i) #s(literal 1/120 binary32)) n1_i)
(* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i))))
(*.f32 (fma.f32 (/.f32 n0_i n1_i) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) n1_i)
(* n1_i (+ 1/6 (+ (* -1/6 (/ n0_i n1_i)) (* 1/2 (/ n0_i n1_i)))))
(*.f32 (fma.f32 (/.f32 n0_i n1_i) #s(literal 1/3 binary32) #s(literal 1/6 binary32)) n1_i)
(* -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 (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) n1_i)
(* n1_i (+ (* -3 (/ n0_i n1_i)) (+ (/ (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))) n1_i) (pow u 2))))
(*.f32 (fma.f32 u u (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 3 binary32) u) n0_i) u (*.f32 #s(literal -3 binary32) n0_i)) n1_i)) n1_i)
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (* 3 (/ n0_i n1_i)))))
(*.f32 (+.f32 (/.f32 (*.f32 (-.f32 #s(literal 3 binary32) u) n0_i) n1_i) 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)))))
(*.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 (/ (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))) n1_i)) 7/360)))
(*.f32 (-.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (*.f32 #s(literal 1/3 binary32) n0_i) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) n0_i))) (neg.f32 n1_i)) #s(literal 7/360 binary32)) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(*.f32 (neg.f32 (/.f32 (+.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) n1_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(*.f32 (neg.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) (sin.f32 normAngle)) n0_i) n1_i))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(*.f32 (/.f32 (fma.f32 #s(literal -1 binary32) normAngle (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) n1_i)) (sin.f32 normAngle)) (neg.f32 n1_i))
(* -1 (* n1_i (- (/ n0_i n1_i) 1)))
(*.f32 (-.f32 (/.f32 n0_i n1_i) #s(literal 1 binary32)) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(*.f32 (neg.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u)) (neg.f32 n1_i))
(* -1 (* n1_i (- (* -1/6 (pow normAngle 2)) 1)))
(*.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) (neg.f32 n1_i))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/2 n0_i))) n0_i) n1_i)) (* -1/6 (pow normAngle 2))) 1)))
(*.f32 (-.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 normAngle normAngle)) n0_i) (neg.f32 n1_i))) #s(literal 1 binary32)) (neg.f32 n1_i))
(* -1 (* n1_i (+ 1 (* -1 (pow u 2)))))
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (neg.f32 n1_i))
(* -1 (* n1_i (+ 1 (+ (* -1 (/ (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))) n1_i)) (* -1 (pow u 2))))))
(neg.f32 (fma.f32 (neg.f32 (fma.f32 u u (/.f32 (fma.f32 #s(literal -2 binary32) n0_i (*.f32 (*.f32 (-.f32 #s(literal 3 binary32) u) n0_i) u)) n1_i))) n1_i n1_i))
(* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u)))))))
(*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1 binary32) (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 (/.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) #s(literal -1 binary32) (fma.f32 (*.f32 (fma.f32 #s(literal -1 binary32) (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 (- (* 1/120 (/ 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 (/ (+ (* -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))
(* 1/6 (* n1_i (- (* -1 (pow u 3)) (* -1 u))))
(*.f32 (*.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) u) n1_i) #s(literal 1/6 binary32))
(* -1 (* n1_i (+ (* -1/6 (- (* -1 (pow u 3)) (* -1 u))) (* 1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)))))
(*.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) u) (/.f32 (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) n1_i))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))) n1_i)) (* -1 (pow u 2)))))
(*.f32 (neg.f32 (fma.f32 u u (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 3 binary32) u) n0_i) u (*.f32 #s(literal -3 binary32) n0_i)) n1_i))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ (* -1 (* n0_i u)) (* 3 n0_i)) n1_i)))))
(*.f32 (-.f32 (neg.f32 u) (/.f32 (*.f32 (-.f32 #s(literal 3 binary32) u) n0_i) n1_i)) (neg.f32 n1_i))

rewrite419.0ms (3.5%)

Memory
4.9MiB live, 432.2MiB allocated; 51ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084729
0133729
1578709
24915709
08932701
Stop Event
iter limit
node limit
iter limit
Counts
27 → 314
Calls
Call 1
Inputs
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))
(-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (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) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (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) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.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) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i))
(-.f32 n1_i n0_i)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #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)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i))
(-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i)
(-.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))
(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)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (-.f32 (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))))
(fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (-.f32 (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)))
(*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32))
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))
(/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))
(*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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)))
(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))
(fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u (*.f32 #s(literal 3 binary32) n0_i))
Outputs
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) #s(literal 2 binary32)) (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal 2 binary32))) (-.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))))
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal 3 binary32)) (pow.f32 (neg.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))) #s(literal 3 binary32))) (fma.f32 (pow.f32 (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) #s(literal 2 binary32)) #s(literal 1/36 binary32) (fma.f32 #s(literal 1/14400 binary32) (pow.f32 (-.f32 n1_i n0_i) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (neg.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal 2 binary32)) (pow.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) #s(literal 2 binary32)))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i)))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/1728000 binary32) (pow.f32 (-.f32 n1_i n0_i) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (pow.f32 (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) #s(literal 2 binary32)) #s(literal 1/36 binary32) (*.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (-.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))))))))
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal 2 binary32)) (pow.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))))
(/.f32 (fma.f32 #s(literal 1/1728000 binary32) (pow.f32 (-.f32 n1_i n0_i) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal 3 binary32))) (fma.f32 #s(literal 1/14400 binary32) (pow.f32 (-.f32 n1_i n0_i) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal 1/120 binary32)) (-.f32 n1_i n0_i)))))
(/.f32 (fma.f32 #s(literal 1/1728000 binary32) (pow.f32 (-.f32 n1_i n0_i) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal 3 binary32))) (fma.f32 (pow.f32 (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) #s(literal 2 binary32)) #s(literal 1/36 binary32) (*.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (-.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))))))
(-.f32 (/.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i)))) (/.f32 (pow.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i)))))
(-.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i)))
(-.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (neg.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))
(-.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))))
(-.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (*.f32 (neg.f32 (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32)))
(fma.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))))
(fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (*.f32 (neg.f32 (neg.f32 (-.f32 n1_i n0_i))) #s(literal 1/120 binary32)))
(fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)))
(fma.f32 (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) #s(literal -1/6 binary32) (*.f32 (neg.f32 (neg.f32 (-.f32 n1_i n0_i))) #s(literal 1/120 binary32)))
(fma.f32 (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)))
(fma.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))))
(+.f32 (/.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal 3 binary32)) (fma.f32 (pow.f32 (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) #s(literal 2 binary32)) #s(literal 1/36 binary32) (*.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (-.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))))))) (/.f32 (pow.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) #s(literal 3 binary32)) (fma.f32 (pow.f32 (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) #s(literal 2 binary32)) #s(literal 1/36 binary32) (*.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (-.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))))))))
(+.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 (neg.f32 (neg.f32 (-.f32 n1_i n0_i))) #s(literal 1/120 binary32)))
(+.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)))
(+.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))))
(/.f32 (-.f32 (pow.f32 (fma.f32 #s(literal -1/24 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) #s(literal 2 binary32)) (pow.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) #s(literal 2 binary32))) (+.f32 (fma.f32 #s(literal -1/24 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))
(/.f32 (-.f32 (pow.f32 (fma.f32 #s(literal -1/24 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) #s(literal 3 binary32))) (+.f32 (pow.f32 (fma.f32 #s(literal -1/24 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) #s(literal 2 binary32)) (fma.f32 #s(literal 1/14400 binary32) (pow.f32 (-.f32 n1_i n0_i) #s(literal 2 binary32)) (*.f32 (fma.f32 #s(literal -1/24 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))))
(/.f32 (neg.f32 (-.f32 (*.f32 #s(literal 1/576 binary32) (*.f32 n0_i n0_i)) (pow.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))) #s(literal 2 binary32)))) (neg.f32 (fma.f32 #s(literal -1/24 binary32) n0_i (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))))
(/.f32 (neg.f32 (-.f32 (*.f32 #s(literal -1/13824 binary32) (pow.f32 n0_i #s(literal 3 binary32))) (pow.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(literal 1/576 binary32) (*.f32 n0_i n0_i) (*.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))) (fma.f32 #s(literal -1/24 binary32) n0_i (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))))))
(/.f32 (-.f32 (*.f32 #s(literal 1/576 binary32) (*.f32 n0_i n0_i)) (pow.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))) #s(literal 2 binary32))) (fma.f32 #s(literal -1/24 binary32) n0_i (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)))))
(/.f32 (-.f32 (*.f32 #s(literal -1/13824 binary32) (pow.f32 n0_i #s(literal 3 binary32))) (pow.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))) #s(literal 3 binary32))) (fma.f32 #s(literal 1/576 binary32) (*.f32 n0_i n0_i) (*.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))) (fma.f32 #s(literal -1/24 binary32) n0_i (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)))))))
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(-.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u (*.f32 #s(literal 3 binary32) n0_i)) u) (*.f32 (neg.f32 n0_i) #s(literal -3 binary32)))
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(fma.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 (neg.f32 n0_i) #s(literal 3 binary32)))
(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))
(fma.f32 u (fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u (*.f32 #s(literal 3 binary32) n0_i)) (*.f32 (neg.f32 n0_i) #s(literal 3 binary32)))
(fma.f32 u (fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u (*.f32 #s(literal 3 binary32) n0_i)) (*.f32 #s(literal -3 binary32) n0_i))
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(+.f32 (*.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u (*.f32 #s(literal 3 binary32) n0_i)) u) (*.f32 (neg.f32 n0_i) #s(literal 3 binary32)))
(+.f32 (*.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))
(+.f32 (*.f32 #s(literal -3 binary32) n0_i) (*.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u (*.f32 #s(literal 3 binary32) n0_i)) u))
(/.f32 (-.f32 (*.f32 #s(literal 9 binary32) (*.f32 n0_i n0_i)) (pow.f32 (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u) #s(literal 2 binary32))) (-.f32 (*.f32 #s(literal 3 binary32) n0_i) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u)))
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(/.f32 (-.f32 (pow.f32 (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u) #s(literal 2 binary32)) (*.f32 #s(literal 9 binary32) (*.f32 n0_i n0_i))) (fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u (*.f32 #s(literal -3 binary32) n0_i)))
(/.f32 (fma.f32 #s(literal -27 binary32) (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u) #s(literal 3 binary32))) (fma.f32 #s(literal 9 binary32) (*.f32 n0_i n0_i) (-.f32 (pow.f32 (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u) #s(literal 3 binary32)) n0_i))))
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(-.f32 (/.f32 (pow.f32 (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u) #s(literal 2 binary32)) (fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u (*.f32 #s(literal -3 binary32) n0_i))) (/.f32 (*.f32 #s(literal 9 binary32) (*.f32 n0_i n0_i)) (fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u (*.f32 #s(literal -3 binary32) n0_i))))
(-.f32 (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u) (*.f32 (neg.f32 n0_i) #s(literal 3 binary32)))
(-.f32 (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u) (*.f32 #s(literal -3 binary32) n0_i))
(-.f32 (*.f32 #s(literal 3 binary32) n0_i) (*.f32 (neg.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i)) u))
(-.f32 (*.f32 #s(literal 3 binary32) n0_i) (*.f32 (neg.f32 u) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))
(fma.f32 #s(literal 3 binary32) n0_i (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))
(fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u (*.f32 (neg.f32 n0_i) #s(literal -3 binary32)))
(fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u (*.f32 #s(literal 3 binary32) n0_i))
(fma.f32 u (fma.f32 #s(literal -1 binary32) n0_i n1_i) (*.f32 (neg.f32 n0_i) #s(literal -3 binary32)))
(fma.f32 u (fma.f32 #s(literal -1 binary32) n0_i n1_i) (*.f32 #s(literal 3 binary32) n0_i))
(fma.f32 n0_i #s(literal 3 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))
(+.f32 (/.f32 (pow.f32 (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u) #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 3 binary32) n0_i) (-.f32 (*.f32 #s(literal 3 binary32) n0_i) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u)) (pow.f32 (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u) #s(literal 2 binary32)))) (/.f32 (*.f32 #s(literal -27 binary32) (pow.f32 n0_i #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 3 binary32) n0_i) (-.f32 (*.f32 #s(literal 3 binary32) n0_i) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u)) (pow.f32 (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u) #s(literal 2 binary32)))))
(+.f32 (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u) (*.f32 (neg.f32 n0_i) #s(literal -3 binary32)))
(+.f32 (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u) (*.f32 #s(literal 3 binary32) n0_i))
(+.f32 (*.f32 #s(literal 3 binary32) n0_i) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))

eval217.0ms (1.8%)

Memory
-52.0MiB live, 245.1MiB allocated; 31ms collecting garbage
Compiler

Compiled 55 424 to 4 664 computations (91.6% saved)

prune54.0ms (0.4%)

Memory
17.3MiB live, 63.1MiB allocated; 7ms collecting garbage
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New63611647
Fresh459
Picked415
Done101
Total64517662
Accuracy
100.0%
Counts
662 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(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))
70.9%
(/.f32 (fma.f32 n1_i #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
99.1%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (- (+ (* (+ (* (+ (* -1 n0_i) n1_i) u) (* 3 n0_i)) u) (* -3 n0_i)) n1_i) (neg n0_i)) (*.f32 (fma.f32 (-.f32 u #s(literal 3 binary32)) u #s(literal 2 binary32)) (neg.f32 n0_i))) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
98.8%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (- (+ (* (+ (* (+ (* -1 n0_i) n1_i) u) (* 3 n0_i)) u) (* -3 n0_i)) n1_i) (neg n0_i)) (*.f32 (*.f32 u u) (-.f32 n1_i n0_i))) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
99.5%
#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) (* (* (cos normAngle) normAngle) n0_i)) (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 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
99.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
99.1%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
83.1%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) n1_i) n0_i) (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i))) u n0_i))
58.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) n1_i) n0_i) (-.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 normAngle normAngle)) n0_i))) u n0_i))
58.2%
#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) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- n1_i n0_i) (neg.f32 n0_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 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
98.9%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u) n0_i))
58.2%
#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 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
98.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i)))
58.0%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))
38.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))
58.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.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 1 868 to 1 121 computations (40% saved)

simplify243.0ms (2%)

Memory
34.9MiB live, 217.7MiB allocated; 43ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
074797
0105795
1201775
2475732
31622652
44939652
08074639
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.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 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (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 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (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 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i))
(-.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 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)
(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 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i)
(fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))))
#s(literal 1/2 binary32)
n0_i
(fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))
#s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i))
(*.f32 #s(literal 7/360 binary32) n1_i)
#s(literal 7/360 binary32)
n1_i
(*.f32 normAngle normAngle)
normAngle
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))
#s(literal 1/6 binary32)
(-.f32 n1_i n0_i)
u
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i))
(*.f32 u n1_i)
u
n1_i
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
u
n1_i
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
n0_i
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i))
(-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i)
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i)
(fma.f32 #s(literal 1/2 binary32) n0_i #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i)))
#s(literal 1/2 binary32)
n0_i
#s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i))
(*.f32 #s(literal 1/6 binary32) n1_i)
#s(literal 1/6 binary32)
n1_i
(*.f32 normAngle normAngle)
normAngle
u
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
n0_i
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
normAngle
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(sin.f32 normAngle)
Outputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (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 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.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) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.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 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.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 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i))
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)))
(-.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 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)
(fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i)
(fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) n1_i)
(fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))))
(fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)))
#s(literal 1/2 binary32)
n0_i
(fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))
(fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))
#s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i))
(*.f32 #s(literal 7/360 binary32) n1_i)
#s(literal 7/360 binary32)
n1_i
(*.f32 normAngle normAngle)
normAngle
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))
(*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))
#s(literal 1/6 binary32)
(-.f32 n1_i n0_i)
u
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u)))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u))
(*.f32 u n1_i)
(*.f32 n1_i u)
u
n1_i
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 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)))
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
u
n1_i
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
n0_i
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i))
(-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i)
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i)
(fma.f32 #s(literal 1/2 binary32) n0_i #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i)))
#s(literal 1/2 binary32)
n0_i
#s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i))
(*.f32 #s(literal 1/6 binary32) n1_i)
#s(literal 1/6 binary32)
n1_i
(*.f32 normAngle normAngle)
normAngle
u
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))
n0_i
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
normAngle
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(sin.f32 normAngle)

localize344.0ms (2.9%)

Memory
-4.9MiB live, 576.8MiB allocated; 62ms collecting garbage
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.109375
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
accuracy0.11328125
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
accuracy0.205410009768442
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
accuracy13.043064614138324
#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 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
accuracy0.18561791112495007
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i))
accuracy0.23828125
(fma.f32 #s(literal 1/2 binary32) n0_i #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i)))
accuracy0.32421875
(*.f32 #s(literal 1/6 binary32) n1_i)
accuracy15.216862501298026
#s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i))
accuracy0.0
(-.f32 #s(literal 1 binary32) u)
accuracy0.05078125
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
accuracy0.12109375
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
accuracy0.23090648910227818
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
accuracy0.0
(*.f32 u n1_i)
accuracy0.23090648910227818
#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)))
accuracy18.691348888971017
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i))
accuracy0.22265625
(fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))))
accuracy0.35546875
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))
accuracy0.43359375
(*.f32 #s(literal 7/360 binary32) n1_i)
accuracy15.364955709349287
#s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i))
Samples
247.0ms242×0valid
23.0ms5exit
7.0ms1valid
Compiler

Compiled 512 to 64 computations (87.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 234.0ms
ival-mult: 115.0ms (49.1% of total)
ival-sin: 45.0ms (19.2% of total)
ival-sub: 25.0ms (10.7% of total)
const: 17.0ms (7.3% of total)
adjust: 13.0ms (5.5% of total)
ival-add: 12.0ms (5.1% of total)
ival-div: 5.0ms (2.1% of total)
ival-cos: 2.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series140.0ms (1.2%)

Memory
-26.0MiB live, 161.8MiB allocated; 17ms collecting garbage
Counts
27 → 174
Calls
Call 1
Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.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 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (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 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (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 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i))
(-.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 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i))
(*.f32 u n1_i)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 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)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i))
(-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i)
#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 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
#s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i))
(*.f32 #s(literal 7/360 binary32) n1_i)
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))
(fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))))
#s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i))
(*.f32 #s(literal 1/6 binary32) n1_i)
(fma.f32 #s(literal 1/2 binary32) n0_i #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
Outputs
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ n0_i (* u (- n1_i n0_i)))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(- n1_i n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))))))) n0_i)
(* 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))))))
(- 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)
(* 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))
(+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))
(+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* normAngle (* u (- n1_i (* n0_i (cos normAngle))))) (sin normAngle))
(* normAngle (+ (/ n0_i normAngle) (/ (* u (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))))
(/ (* normAngle (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))
(* (pow normAngle 4) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))
(* (pow normAngle 4) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (- n1_i n0_i) (pow normAngle 2))) (* 1/2 (/ n0_i (pow normAngle 2))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))
(* (pow normAngle 4) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (- n1_i n0_i) (pow normAngle 2))) (+ (* 1/2 (/ n0_i (pow normAngle 2))) (/ n1_i (pow normAngle 4))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (+ (* 1/120 (- n1_i n0_i)) (/ n0_i (pow normAngle 4))))))
(* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))
(* (pow normAngle 2) (- (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(sin (* normAngle (- 1 u)))
(* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))
(* (pow normAngle 2) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (- n1_i n0_i) (pow normAngle 2))) (* 1/2 (/ n0_i (pow normAngle 2))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))
(* -1 (/ (* normAngle (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle)))))) (sin normAngle)))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))))
(* -1 (/ (* normAngle (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))))
(+ n0_i (* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(* n1_i u)
(+ n0_i (* -1 (* n0_i u)))
1
(+ 1 (* -1 u))
(+ 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))))))))
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))
(sin normAngle)
(+ (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)))))))))
normAngle
(+ normAngle (* -1 (* normAngle u)))
(* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))
(* u (- (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))
(* u (+ n1_i (* -1 n0_i)))
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(* -1 (* n0_i u))
(* u (+ (* -1 n0_i) (/ n0_i u)))
(* -1 u)
(* u (- (/ 1 u) 1))
(* -1 (* normAngle u))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* u (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle))))) (sin normAngle))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle)))) (sin normAngle))))))
(* -1 (* u (+ n0_i (* -1 n1_i))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))
(* -1 (* u (- 1 (/ 1 u))))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(sin (* normAngle (+ 1 (* -1 u))))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(+ n1_i (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i))))
(+ n1_i (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) 1)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i)))))
(+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))
(+ n1_i (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))))
(* -1 (+ (* -1/36 n1_i) (* 1/120 n1_i)))
(- (* 1/45 n0_i) (+ (* -1/36 n1_i) (* 1/120 n1_i)))
(* 1/6 n1_i)
(+ (* -1/6 n0_i) (* 1/6 n1_i))
(+ (* -1 (* (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) (* 1/3 n0_i))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(* n0_i (- (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) 1))
(* n0_i (- (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i))) n0_i))) 1))
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(* n0_i (- (* 1/3 (pow normAngle 2)) 1))
(* n0_i (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/3 (pow normAngle 2)) (/ n1_i n0_i))) 1))
(* 1/45 n0_i)
(* n0_i (+ 1/45 (* -1 (/ (+ (* -1/36 n1_i) (* 1/120 n1_i)) n0_i))))
(* -1/6 n0_i)
(* n0_i (- (* 1/6 (/ n1_i n0_i)) 1/6))
(* 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 (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(* -1 (* n0_i (+ 1 (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3)))))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i)))) n0_i)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ 1 (* -1/3 (pow normAngle 2)))))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) n0_i)) (* -1/3 (pow normAngle 2))))))
(* -1 (* n0_i (- (+ (* -1/36 (/ n1_i n0_i)) (* 1/120 (/ n1_i n0_i))) 1/45)))
(* -1 (* n0_i (+ 1/6 (* -1/6 (/ n1_i n0_i)))))
(* -1 (* n0_i (- (* -1/45 (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)))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(- (* (pow normAngle 2) (+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))))))) n0_i)
(- (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))))))) n0_i)
(- (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/2 n0_i))) n0_i)
(- (+ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/2 n0_i)))) n0_i)
(- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))
(- (+ (* -1/24 n0_i) (* 7/360 n1_i)) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))
(* 7/360 n1_i)
(+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (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)))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))
(* n1_i (- (+ 1 (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))))))) n1_i))) (/ n0_i n1_i)))
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(* n1_i (+ 1 (* 1/6 (pow normAngle 2))))
(* n1_i (- (+ 1 (+ (* 1/6 (pow normAngle 2)) (/ (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/2 n0_i))) n1_i))) (/ n0_i n1_i)))
(* n1_i (- (+ 7/360 (* -1/24 (/ n0_i n1_i))) (+ (* -1/6 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) (* -1/120 (/ n0_i n1_i)))))
(* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i))))
(* n1_i (+ 1/6 (* 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)))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(* -1 (* n1_i (- (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)) 1)))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* (pow normAngle 2) (+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))))))) n0_i) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))) 1)))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(* -1 (* n1_i (- (* -1/6 (pow normAngle 2)) 1)))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/2 n0_i))) n0_i) n1_i)) (* -1/6 (pow normAngle 2))) 1)))
(* -1 (* n1_i (- (* -1 (/ (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))) n1_i)) 7/360)))
(* -1 (* n1_i (- (* 1/6 (/ n0_i n1_i)) 1/6)))
(* -1 (* n1_i (- (* -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)))
Calls

12 calls:

TimeVariablePointExpression
52.0ms
u
@-inf
((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (- (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (* 1/6 (- n1_i n0_i)))) (* normAngle normAngle)) n1_i) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* u n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* u n1_i) (* n0_i (- 1 u))) (* n0_i (- 1 u)) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (- (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) n1_i) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* n0_i (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (sin (* normAngle (- 1 u))) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* 7/360 n1_i) (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (* 1/6 (- n1_i n0_i)))) (* 1/6 (- n1_i n0_i)) (* 1/6 n1_i) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle (- 1 u)))
37.0ms
normAngle
@0
((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (- (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (* 1/6 (- n1_i n0_i)))) (* normAngle normAngle)) n1_i) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* u n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* u n1_i) (* n0_i (- 1 u))) (* n0_i (- 1 u)) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (- (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) n1_i) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* n0_i (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (sin (* normAngle (- 1 u))) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* 7/360 n1_i) (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (* 1/6 (- n1_i n0_i)))) (* 1/6 (- n1_i n0_i)) (* 1/6 n1_i) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle (- 1 u)))
8.0ms
n0_i
@-inf
((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (- (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (* 1/6 (- n1_i n0_i)))) (* normAngle normAngle)) n1_i) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* u n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* u n1_i) (* n0_i (- 1 u))) (* n0_i (- 1 u)) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (- (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) n1_i) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* n0_i (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (sin (* normAngle (- 1 u))) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* 7/360 n1_i) (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (* 1/6 (- n1_i n0_i)))) (* 1/6 (- n1_i n0_i)) (* 1/6 n1_i) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle (- 1 u)))
7.0ms
n1_i
@-inf
((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (- (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (* 1/6 (- n1_i n0_i)))) (* normAngle normAngle)) n1_i) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* u n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* u n1_i) (* n0_i (- 1 u))) (* n0_i (- 1 u)) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (- (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) n1_i) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* n0_i (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (sin (* normAngle (- 1 u))) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* 7/360 n1_i) (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (* 1/6 (- n1_i n0_i)))) (* 1/6 (- n1_i n0_i)) (* 1/6 n1_i) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle (- 1 u)))
5.0ms
normAngle
@-inf
((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (- (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (* 1/6 (- n1_i n0_i)))) (* normAngle normAngle)) n1_i) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* u n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* u n1_i) (* n0_i (- 1 u))) (* n0_i (- 1 u)) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (- (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) n1_i) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* n0_i (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (sin (* normAngle (- 1 u))) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* 7/360 n1_i) (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (* 1/6 (- n1_i n0_i)))) (* 1/6 (- n1_i n0_i)) (* 1/6 n1_i) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle (- 1 u)))

simplify182.0ms (1.5%)

Memory
42.0MiB live, 317.2MiB allocated; 41ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07623797
126143519
088483264
Stop Event
iter limit
node limit
Counts
174 → 172
Calls
Call 1
Inputs
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ n0_i (* u (- n1_i n0_i)))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(- n1_i n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))))))) n0_i)
(* 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))))))
(- 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)
(* 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))
(+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))
(+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* normAngle (* u (- n1_i (* n0_i (cos normAngle))))) (sin normAngle))
(* normAngle (+ (/ n0_i normAngle) (/ (* u (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))))
(/ (* normAngle (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))
(* (pow normAngle 4) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))
(* (pow normAngle 4) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (- n1_i n0_i) (pow normAngle 2))) (* 1/2 (/ n0_i (pow normAngle 2))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))
(* (pow normAngle 4) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (- n1_i n0_i) (pow normAngle 2))) (+ (* 1/2 (/ n0_i (pow normAngle 2))) (/ n1_i (pow normAngle 4))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (+ (* 1/120 (- n1_i n0_i)) (/ n0_i (pow normAngle 4))))))
(* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))
(* (pow normAngle 2) (- (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(sin (* normAngle (- 1 u)))
(* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))
(* (pow normAngle 2) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (- n1_i n0_i) (pow normAngle 2))) (* 1/2 (/ n0_i (pow normAngle 2))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))
(* -1 (/ (* normAngle (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle)))))) (sin normAngle)))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))))
(* -1 (/ (* normAngle (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))))
(+ n0_i (* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(* n1_i u)
(+ n0_i (* -1 (* n0_i u)))
1
(+ 1 (* -1 u))
(+ 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))))))))
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))
(sin normAngle)
(+ (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)))))))))
normAngle
(+ normAngle (* -1 (* normAngle u)))
(* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))
(* u (- (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))
(* u (+ n1_i (* -1 n0_i)))
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(* -1 (* n0_i u))
(* u (+ (* -1 n0_i) (/ n0_i u)))
(* -1 u)
(* u (- (/ 1 u) 1))
(* -1 (* normAngle u))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* u (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle))))) (sin normAngle))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle)))) (sin normAngle))))))
(* -1 (* u (+ n0_i (* -1 n1_i))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))
(* -1 (* u (- 1 (/ 1 u))))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(sin (* normAngle (+ 1 (* -1 u))))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(+ n1_i (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i))))
(+ n1_i (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) 1)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i)))))
(+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))
(+ n1_i (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))))
(* -1 (+ (* -1/36 n1_i) (* 1/120 n1_i)))
(- (* 1/45 n0_i) (+ (* -1/36 n1_i) (* 1/120 n1_i)))
(* 1/6 n1_i)
(+ (* -1/6 n0_i) (* 1/6 n1_i))
(+ (* -1 (* (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) (* 1/3 n0_i))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(* n0_i (- (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) 1))
(* n0_i (- (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i))) n0_i))) 1))
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(* n0_i (- (* 1/3 (pow normAngle 2)) 1))
(* n0_i (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/3 (pow normAngle 2)) (/ n1_i n0_i))) 1))
(* 1/45 n0_i)
(* n0_i (+ 1/45 (* -1 (/ (+ (* -1/36 n1_i) (* 1/120 n1_i)) n0_i))))
(* -1/6 n0_i)
(* n0_i (- (* 1/6 (/ n1_i n0_i)) 1/6))
(* 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 (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(* -1 (* n0_i (+ 1 (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3)))))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i)))) n0_i)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ 1 (* -1/3 (pow normAngle 2)))))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) n0_i)) (* -1/3 (pow normAngle 2))))))
(* -1 (* n0_i (- (+ (* -1/36 (/ n1_i n0_i)) (* 1/120 (/ n1_i n0_i))) 1/45)))
(* -1 (* n0_i (+ 1/6 (* -1/6 (/ n1_i n0_i)))))
(* -1 (* n0_i (- (* -1/45 (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)))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(- (* (pow normAngle 2) (+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))))))) n0_i)
(- (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))))))) n0_i)
(- (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/2 n0_i))) n0_i)
(- (+ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/2 n0_i)))) n0_i)
(- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))
(- (+ (* -1/24 n0_i) (* 7/360 n1_i)) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))
(* 7/360 n1_i)
(+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (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)))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))
(* n1_i (- (+ 1 (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))))))) n1_i))) (/ n0_i n1_i)))
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(* n1_i (+ 1 (* 1/6 (pow normAngle 2))))
(* n1_i (- (+ 1 (+ (* 1/6 (pow normAngle 2)) (/ (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/2 n0_i))) n1_i))) (/ n0_i n1_i)))
(* n1_i (- (+ 7/360 (* -1/24 (/ n0_i n1_i))) (+ (* -1/6 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) (* -1/120 (/ n0_i n1_i)))))
(* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i))))
(* n1_i (+ 1/6 (* 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)))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(* -1 (* n1_i (- (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)) 1)))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* (pow normAngle 2) (+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))))))) n0_i) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))) 1)))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(* -1 (* n1_i (- (* -1/6 (pow normAngle 2)) 1)))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/2 n0_i))) n0_i) n1_i)) (* -1/6 (pow normAngle 2))) 1)))
(* -1 (* n1_i (- (* -1 (/ (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))) n1_i)) 7/360)))
(* -1 (* n1_i (- (* 1/6 (/ n0_i n1_i)) 1/6)))
(* -1 (* n1_i (- (* -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)))
Outputs
(+ (* n0_i (- 1 u)) (* n1_i u))
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(fma.f32 (*.f32 #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 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (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 (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (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 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 u #s(literal 7 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i))) (fma.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 1/120 binary32)))) (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 (*.f32 n1_i u) #s(literal 1/120 binary32))))) (fma.f32 #s(literal -1/5040 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 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) (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(+ n0_i (* u (- n1_i n0_i)))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) u) n0_i (*.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) u)) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) u) n0_i (*.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) u)) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal 1/2 binary32) u) n0_i (*.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(fma.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n0_i u)) (fma.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) u) n0_i (*.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) 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 #s(literal 1/2 binary32) u) n0_i (*.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) u)) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) u) n0_i (*.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) u)) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32))))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal 1/2 binary32) u) n0_i (*.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(- n1_i n0_i)
(-.f32 n1_i n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))) n0_i)
(-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) n1_i) n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(literal -1/12 binary32) n0_i (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(fma.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(literal -1/12 binary32) n0_i (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal 1/120 binary32) (*.f32 #s(literal -1/5040 binary32) (-.f32 n1_i n0_i))))) (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(literal -1/12 binary32) n0_i (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))) n0_i)
(-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) n1_i) n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))))))) n0_i)
(fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(literal -1/12 binary32) n0_i (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))
(* n0_i (- 1 u))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))
(fma.f32 (*.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 n0_i (-.f32 #s(literal 1 binary32) u)))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -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 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 1/120 binary32)))) (*.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 n0_i (-.f32 #s(literal 1 binary32) u)))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(fma.f32 (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 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 1/120 binary32)))) #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 n0_i (-.f32 #s(literal 1 binary32) u)))))) (*.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 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 1/120 binary32)))) (*.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 n0_i (-.f32 #s(literal 1 binary32) 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 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) #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)) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.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)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
(fma.f32 (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)) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/5040 binary32) (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (*.f32 (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)) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.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) (-.f32 #s(literal 1 binary32) u))
(* normAngle (- 1 u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u))
(*.f32 (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (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 (fma.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) (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) (-.f32 #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 (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) (-.f32 #s(literal 1 binary32) u)) normAngle)
(+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))
(fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))
(+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))))
(fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(literal -1/12 binary32) n0_i (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))
(/ (* normAngle (* u (- n1_i (* n0_i (cos normAngle))))) (sin normAngle))
(*.f32 (*.f32 normAngle u) (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)))
(* normAngle (+ (/ n0_i normAngle) (/ (* u (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))))
(*.f32 (fma.f32 u (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)) (/.f32 n0_i normAngle)) normAngle)
(/ (* normAngle (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))
(*.f32 normAngle (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)))
(* (pow normAngle 4) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(literal -1/12 binary32) n0_i (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))))
(* (pow normAngle 4) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (- n1_i n0_i) (pow normAngle 2))) (* 1/2 (/ n0_i (pow normAngle 2))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))
(*.f32 (-.f32 (fma.f32 #s(literal -1/24 binary32) n0_i (/.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle))) (fma.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(literal -1/12 binary32) n0_i (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))) (pow.f32 normAngle #s(literal 4 binary32)))
(* (pow normAngle 4) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (- n1_i n0_i) (pow normAngle 2))) (+ (* 1/2 (/ n0_i (pow normAngle 2))) (/ n1_i (pow normAngle 4))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (+ (* 1/120 (- n1_i n0_i)) (/ n0_i (pow normAngle 4))))))
(*.f32 (-.f32 (fma.f32 #s(literal -1/24 binary32) n0_i (+.f32 (/.f32 n1_i (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle)))) (fma.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(literal -1/12 binary32) n0_i (fma.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i) (/.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))))))) (pow.f32 normAngle #s(literal 4 binary32)))
(* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))
(*.f32 (*.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) normAngle) normAngle)
(* (pow normAngle 2) (- (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2))))
(*.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (fma.f32 #s(literal 1/2 binary32) n0_i (/.f32 (-.f32 n1_i n0_i) (*.f32 normAngle normAngle)))) (*.f32 normAngle 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 normAngle))
(/.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)))
(* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))
(*.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(literal -1/12 binary32) n0_i (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))) (*.f32 normAngle normAngle))
(* (pow normAngle 2) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (- n1_i n0_i) (pow normAngle 2))) (* 1/2 (/ n0_i (pow normAngle 2))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))
(*.f32 (-.f32 (fma.f32 #s(literal -1/24 binary32) n0_i (/.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle))) (fma.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(literal -1/12 binary32) n0_i (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))) (*.f32 normAngle normAngle))
(* -1 (/ (* normAngle (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle)))))) (sin normAngle)))
(*.f32 (neg.f32 normAngle) (/.f32 (*.f32 (neg.f32 u) (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i))) (sin.f32 normAngle)))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))))
(*.f32 (neg.f32 normAngle) (fma.f32 u (/.f32 (fma.f32 #s(literal -1 binary32) n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)) (/.f32 (neg.f32 n0_i) normAngle)))
(* -1 (/ (* normAngle (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))
(*.f32 (neg.f32 normAngle) (/.f32 (fma.f32 #s(literal -1 binary32) n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 (*.f32 normAngle u) (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))
(fma.f32 (fma.f32 normAngle (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (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))) (* 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 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)) u (*.f32 normAngle (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)))) u n0_i)
(+ n0_i (* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))))
(fma.f32 (*.f32 normAngle u) (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)) n0_i)
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(* n1_i u)
(*.f32 n1_i u)
(+ n0_i (* -1 (* n0_i u)))
(-.f32 n0_i (*.f32 n0_i u))
1
#s(literal 1 binary32)
(+ 1 (* -1 u))
(-.f32 #s(literal 1 binary32) u)
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(-.f32 n0_i (/.f32 (*.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) n0_i) (sin.f32 normAngle)))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) u) (*.f32 normAngle normAngle) (*.f32 (neg.f32 n0_i) (/.f32 (*.f32 (cos.f32 normAngle) normAngle) (sin.f32 normAngle)))) u n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))
(fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 3 binary32))) u) (cos.f32 normAngle)) (sin.f32 normAngle)) #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u (*.f32 (neg.f32 n0_i) (/.f32 (*.f32 (cos.f32 normAngle) normAngle) (sin.f32 normAngle)))) u n0_i)
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) (sin.f32 normAngle)))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))
(fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 normAngle normAngle) (*.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) u #s(literal 1 binary32))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))
(fma.f32 (fma.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) u) (cos.f32 normAngle)) (sin.f32 normAngle)) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle))) u)) u #s(literal 1 binary32))
(sin normAngle)
(sin.f32 normAngle)
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))
(-.f32 (sin.f32 normAngle) (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))
(fma.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sin.f32 normAngle) u)) (*.f32 normAngle normAngle)) (*.f32 (cos.f32 normAngle) normAngle)) u (sin.f32 normAngle))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle)))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sin.f32 normAngle)) (*.f32 normAngle normAngle) (*.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))) u) (cos.f32 normAngle))) u (*.f32 (neg.f32 normAngle) (cos.f32 normAngle))) u (sin.f32 normAngle))
normAngle
(+ normAngle (* -1 (* normAngle u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))
(*.f32 (*.f32 normAngle u) (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)))
(* u (- (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))
(*.f32 (+.f32 (/.f32 n0_i u) (*.f32 normAngle (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)))) u)
(* u (+ n1_i (* -1 n0_i)))
(*.f32 (-.f32 n1_i n0_i) u)
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)
(* -1 (* n0_i u))
(*.f32 (neg.f32 u) n0_i)
(* u (+ (* -1 n0_i) (/ n0_i u)))
(*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)
(* -1 u)
(neg.f32 u)
(* u (- (/ 1 u) 1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u)
(* -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 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))
(/ (* u (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle))))) (sin normAngle))
(*.f32 (*.f32 normAngle u) (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle)))) (sin normAngle))))))
(*.f32 (neg.f32 u) (neg.f32 (fma.f32 normAngle (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)) (/.f32 n0_i u))))
(* -1 (* u (+ n0_i (* -1 n1_i))))
(*.f32 (neg.f32 u) (-.f32 n0_i n1_i))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))
(* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))
(*.f32 (neg.f32 u) (-.f32 n0_i (/.f32 n0_i u)))
(* -1 (* u (- 1 (/ 1 u))))
(*.f32 (neg.f32 u) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(sin (* normAngle (+ 1 (* -1 u))))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(*.f32 (neg.f32 u) (-.f32 normAngle (/.f32 normAngle u)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+.f32 (/.f32 (fma.f32 (*.f32 normAngle u) n1_i (*.f32 (*.f32 (neg.f32 u) (*.f32 (cos.f32 normAngle) normAngle)) n0_i)) (sin.f32 normAngle)) n0_i)
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(*.f32 normAngle (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)))
(+ n1_i (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 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)
(+ 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)))))
(fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/45 binary32) (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) normAngle) normAngle) #s(literal 1 binary32)) n0_i (*.f32 (fma.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) n1_i))
(+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))
(fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i)
(+ n1_i (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))))
(fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) n0_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i))
(* -1 (+ (* -1/36 n1_i) (* 1/120 n1_i)))
(*.f32 #s(literal 7/360 binary32) n1_i)
(- (* 1/45 n0_i) (+ (* -1/36 n1_i) (* 1/120 n1_i)))
(fma.f32 #s(literal 1/45 binary32) n0_i (*.f32 #s(literal 7/360 binary32) n1_i))
(* 1/6 n1_i)
(*.f32 #s(literal 1/6 binary32) n1_i)
(+ (* -1/6 n0_i) (* 1/6 n1_i))
(*.f32 #s(literal -1/6 binary32) (-.f32 n0_i n1_i))
(+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i))
(*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) 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))))))
(fma.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i (*.f32 (fma.f32 #s(literal 1/45 binary32) (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) n0_i))
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))
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(- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))
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(* -1 (* n1_i (- (* -1/6 (pow normAngle 2)) 1)))
(*.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (neg.f32 n1_i))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/2 n0_i))) n0_i) n1_i)) (* -1/6 (pow normAngle 2))) 1)))
(*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) normAngle) normAngle (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) n0_i) n0_i) (neg.f32 n1_i))) #s(literal 1 binary32)) (neg.f32 n1_i))
(* -1 (* n1_i (- (* -1 (/ (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))) n1_i)) 7/360)))
(*.f32 (-.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/18 binary32) n0_i (*.f32 #s(literal -1/120 binary32) n0_i))) (neg.f32 n1_i)) #s(literal 7/360 binary32)) (neg.f32 n1_i))
(* -1 (* n1_i (- (* 1/6 (/ n0_i n1_i)) 1/6)))
(*.f32 (-.f32 (*.f32 (/.f32 n0_i n1_i) #s(literal 1/6 binary32)) #s(literal 1/6 binary32)) (neg.f32 n1_i))
(* -1 (* n1_i (- (* -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 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/18 binary32) n0_i (*.f32 #s(literal -1/120 binary32) n0_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/3 binary32) n0_i)) (neg.f32 n1_i)) (fma.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)) 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))

rewrite233.0ms (1.9%)

Memory
-22.8MiB live, 366.6MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074667
0105665
1420645
23194645
08910628
Stop Event
iter limit
node limit
iter limit
Counts
27 → 288
Calls
Call 1
Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.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 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (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 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (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 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i))
(-.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 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i))
(*.f32 u n1_i)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 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)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i))
(-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i)
#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 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
#s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i))
(*.f32 #s(literal 7/360 binary32) n1_i)
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))
(fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))))
#s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i))
(*.f32 #s(literal 1/6 binary32) n1_i)
(fma.f32 #s(literal 1/2 binary32) n0_i #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
Outputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
(/.f32 (fma.f32 (pow.f32 (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u) #s(literal 3 binary32)) (fma.f32 n0_i (-.f32 n0_i (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u)) (pow.f32 (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u) #s(literal 2 binary32))) (*.f32 (fma.f32 n0_i (-.f32 n0_i (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u)) (pow.f32 (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u) #s(literal 2 binary32))) (pow.f32 n0_i #s(literal 3 binary32)))) (*.f32 (fma.f32 n0_i (-.f32 n0_i (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u)) (pow.f32 (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u) #s(literal 2 binary32))) (fma.f32 n0_i (-.f32 n0_i (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u)) (pow.f32 (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u) #s(literal 2 binary32)))))
(/.f32 (-.f32 (*.f32 n0_i n0_i) (pow.f32 (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u) #s(literal 2 binary32))) (-.f32 n0_i (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u) #s(literal 2 binary32)) (*.f32 n0_i n0_i))) (neg.f32 (-.f32 (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u) n0_i)))
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(/.f32 (neg.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i)) (pow.f32 #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal 2 binary32)))) (neg.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) n0_i) #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i)))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i)) (-.f32 #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i)))))
(/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i)) (pow.f32 #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal 2 binary32))) (-.f32 (*.f32 #s(literal 1/2 binary32) n0_i) #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i))))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal 3 binary32))) (+.f32 (pow.f32 #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i)) (*.f32 #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 #s(literal 1/2 binary32) n0_i)))))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal 3 binary32))) (fma.f32 #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i)) (-.f32 #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i))))
(-.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i)) (-.f32 (*.f32 #s(literal 1/2 binary32) n0_i) #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i)))) (/.f32 (pow.f32 #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) n0_i) #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i)))))
(-.f32 #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 #s(literal -1/2 binary32) n0_i))
(-.f32 #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 (neg.f32 n0_i) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/2 binary32) n0_i #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i)))
(fma.f32 n0_i #s(literal 1/2 binary32) #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i)))
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (pow.f32 n0_i #s(literal 3 binary32))) (fma.f32 #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i)) (-.f32 #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i)))) (/.f32 (pow.f32 #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal 3 binary32)) (fma.f32 #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i)) (-.f32 #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i)))))
(+.f32 #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 #s(literal 1/2 binary32) n0_i))
(+.f32 (*.f32 #s(literal 1/2 binary32) n0_i) #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i)))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(/.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)))

eval68.0ms (0.6%)

Memory
-17.2MiB live, 126.7MiB allocated; 14ms collecting garbage
Compiler

Compiled 45 572 to 2 822 computations (93.8% saved)

prune32.0ms (0.3%)

Memory
26.9MiB live, 73.5MiB allocated; 3ms collecting garbage
Pruning

17 alts after pruning (12 fresh and 5 done)

PrunedKeptTotal
New4534457
Fresh3811
Picked145
Done011
Total45717474
Accuracy
100.0%
Counts
474 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(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))
70.9%
(/.f32 (fma.f32 n1_i #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
99.1%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (- (+ (* (+ (* (+ (* -1 n0_i) n1_i) u) (* 3 n0_i)) u) (* -3 n0_i)) n1_i) (neg n0_i)) (*.f32 (fma.f32 (-.f32 u #s(literal 3 binary32)) u #s(literal 2 binary32)) (neg.f32 n0_i))) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
98.8%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (- (+ (* (+ (* (+ (* -1 n0_i) n1_i) u) (* 3 n0_i)) u) (* -3 n0_i)) n1_i) (neg n0_i)) (*.f32 (*.f32 u u) (-.f32 n1_i n0_i))) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
99.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
99.1%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
83.1%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (* 1/6 (- n1_i n0_i)))) (* normAngle normAngle)) n1_i) n0_i) (*.f32 (fma.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) n1_i))) u n0_i))
83.1%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) n1_i) n0_i) (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i))) u n0_i))
58.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) n1_i) n0_i) (-.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) n0_i) n0_i))) u n0_i))
58.2%
#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) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- n1_i n0_i) (neg.f32 n0_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 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
98.9%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u) n0_i))
58.2%
#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 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
58.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 n0_i #s(approx (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32)) u))))
58.0%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 n0_i #s(approx (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (-.f32 #s(literal 1 binary32) u))))
98.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i)))
38.3%
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))
Compiler

Compiled 3 184 to 908 computations (71.5% saved)

regimes63.0ms (0.5%)

Memory
-16.5MiB live, 128.5MiB allocated; 11ms collecting garbage
Counts
43 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.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)) (*.f32 n0_i #s(approx (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- n1_i n0_i) (neg.f32 n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u) n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) n1_i) n0_i) (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) n1_i) n0_i) (-.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 normAngle normAngle)) n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) n1_i) n0_i) (-.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) n0_i) n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.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)) (fma.f32 #s(approx (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u)) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i))) (*.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) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (* 1/6 (- n1_i n0_i)))) (* normAngle normAngle)) n1_i) n0_i) (*.f32 (fma.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) n1_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 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) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 (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)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (- (+ (* (+ (* (+ (* -1 n0_i) n1_i) u) (* 3 n0_i)) u) (* -3 n0_i)) n1_i) (neg n0_i)) (*.f32 (*.f32 u u) (-.f32 n1_i n0_i))) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (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 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.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 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (- (+ (* (+ (* (+ (* -1 n0_i) n1_i) u) (* 3 n0_i)) u) (* -3 n0_i)) n1_i) (neg n0_i)) (*.f32 (fma.f32 (-.f32 u #s(literal 3 binary32)) u #s(literal 2 binary32)) (neg.f32 n0_i))) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (-.f32 (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 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (-.f32 (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) (* (* (cos normAngle) normAngle) n0_i)) (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) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.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)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.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)) (*.f32 n0_i #s(approx (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32)) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (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 normAngle (-.f32 #s(literal 1 binary32) u))) (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)) (fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i))
(/.f32 (fma.f32 n1_i #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (fma.f32 (*.f32 u (*.f32 #s(literal -1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
#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))
(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))
(+.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 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n1_i (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(+.f32 #s(approx (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (fma.f32 (neg.f32 n0_i) (*.f32 (*.f32 (cos.f32 normAngle) u) (/.f32 normAngle (sin.f32 normAngle))) n0_i)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
Outputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (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 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
Calls

5 calls:

14.0ms
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
13.0ms
n1_i
13.0ms
u
10.0ms
n0_i
10.0ms
normAngle
Results
AccuracySegmentsBranch
99.5%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))
99.5%1normAngle
99.5%1u
99.5%1n0_i
99.5%1n1_i
Compiler

Compiled 29 to 33 computations (-13.8% saved)

regimes32.0ms (0.3%)

Memory
17.9MiB live, 63.8MiB 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 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.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)) (*.f32 n0_i #s(approx (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- n1_i n0_i) (neg.f32 n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u) n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) n1_i) n0_i) (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) n1_i) n0_i) (-.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 normAngle normAngle)) n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) n1_i) n0_i) (-.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) n0_i) n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.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)) (fma.f32 #s(approx (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u)) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i))) (*.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) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (* 1/6 (- n1_i n0_i)))) (* normAngle normAngle)) n1_i) n0_i) (*.f32 (fma.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) n1_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 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) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 (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)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (- (+ (* (+ (* (+ (* -1 n0_i) n1_i) u) (* 3 n0_i)) u) (* -3 n0_i)) n1_i) (neg n0_i)) (*.f32 (*.f32 u u) (-.f32 n1_i n0_i))) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
Outputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 (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)))
Calls

5 calls:

9.0ms
u
6.0ms
(+.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
n1_i
5.0ms
n0_i
5.0ms
normAngle
Results
AccuracySegmentsBranch
99.5%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))
99.5%1normAngle
99.5%1u
99.5%1n0_i
99.5%1n1_i
Compiler

Compiled 29 to 33 computations (-13.8% saved)

regimes59.0ms (0.5%)

Memory
-3.8MiB live, 102.7MiB allocated; 32ms collecting garbage
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.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)) (*.f32 n0_i #s(approx (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- n1_i n0_i) (neg.f32 n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u) n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) n1_i) n0_i) (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) n1_i) n0_i) (-.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 normAngle normAngle)) n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) n1_i) n0_i) (-.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) n0_i) n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.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)) (fma.f32 #s(approx (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u)) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i))) (*.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) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (* 1/6 (- n1_i n0_i)))) (* normAngle normAngle)) n1_i) n0_i) (*.f32 (fma.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) n1_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 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) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
Outputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
Calls

5 calls:

36.0ms
n0_i
7.0ms
u
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
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)

regimes50.0ms (0.4%)

Memory
1.0MiB live, 48.0MiB allocated; 1ms collecting garbage
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.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)) (*.f32 n0_i #s(approx (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- n1_i n0_i) (neg.f32 n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u) n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) n1_i) n0_i) (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) n1_i) n0_i) (-.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 normAngle normAngle)) n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) n1_i) n0_i) (-.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) n0_i) n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.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)) (fma.f32 #s(approx (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u)) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i))) (*.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) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (* 1/6 (- n1_i n0_i)))) (* normAngle normAngle)) n1_i) n0_i) (*.f32 (fma.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) n1_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #s(literal 1 binary32))) n0_i (*.f32 n1_i u)))
Outputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
Calls

5 calls:

29.0ms
n0_i
5.0ms
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
5.0ms
n1_i
5.0ms
normAngle
5.0ms
u
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)

regimes40.0ms (0.3%)

Memory
3.6MiB live, 50.9MiB allocated; 2ms collecting garbage
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.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)) (*.f32 n0_i #s(approx (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- n1_i n0_i) (neg.f32 n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u) n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) n1_i) n0_i) (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) n1_i) n0_i) (-.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) n0_i) (*.f32 normAngle normAngle)) n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* normAngle normAngle)) n1_i) n0_i) (-.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) n0_i) n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.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)) (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) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
Calls

5 calls:

23.0ms
n0_i
4.0ms
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
4.0ms
n1_i
4.0ms
u
4.0ms
normAngle
Results
AccuracySegmentsBranch
99.1%1(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
99.1%1normAngle
99.1%1u
99.1%1n0_i
99.1%1n1_i
Compiler

Compiled 29 to 33 computations (-13.8% saved)

regimes15.0ms (0.1%)

Memory
-19.1MiB live, 29.4MiB allocated; 5ms 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 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.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)) (*.f32 n0_i #s(approx (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- n1_i n0_i) (neg.f32 n0_i))) u n0_i))
Outputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- n1_i n0_i) (neg.f32 n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #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)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- n1_i n0_i) (neg.f32 n0_i))) u n0_i))
Calls

5 calls:

6.0ms
n0_i
2.0ms
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
2.0ms
u
2.0ms
n1_i
2.0ms
normAngle
Results
AccuracySegmentsBranch
58.2%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))
58.2%1normAngle
58.2%1u
71.8%3n0_i
70.6%3n1_i
Compiler

Compiled 29 to 33 computations (-13.8% saved)

regimes2.0ms (0%)

Memory
4.9MiB live, 4.9MiB allocated; 0ms collecting garbage
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.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)) (*.f32 n0_i #s(approx (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (-.f32 #s(literal 1 binary32) u))))
Outputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.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 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))
Calls

1 calls:

2.0ms
n0_i
Results
AccuracySegmentsBranch
71.6%3n0_i
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes6.0ms (0%)

Memory
18.8MiB live, 18.8MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

1.0ms
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
1.0ms
normAngle
1.0ms
n1_i
1.0ms
u
1.0ms
n0_i
Results
AccuracySegmentsBranch
38.3%1u
38.3%1normAngle
38.3%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))
38.3%1n1_i
38.3%1n0_i
Compiler

Compiled 29 to 33 computations (-13.8% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
2.336317981133336e-33
9.742348773453328e-33
0.0ms
-1.3778696430116703e-22
-1.0567696806665923e-22
Compiler

Compiled 28 to 24 computations (14.3% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
0.0ms
2.336317981133336e-33
9.742348773453328e-33
0.0ms
-1.3778696430116703e-22
-1.0567696806665923e-22
Compiler

Compiled 28 to 24 computations (14.3% saved)

simplify58.0ms (0.5%)

Memory
2.3MiB live, 93.2MiB allocated; 7ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0111565
1219524
2525482
31770476
45599476
Stop Event
node limit
Calls
Call 1
Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.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 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.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)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) n1_i) (neg.f32 n0_i)) (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) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i))) (*.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) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
(if (<=.f32 n0_i #s(literal -2376845/19807040628566084398385987584 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- n1_i n0_i) (neg.f32 n0_i))) u n0_i)) (if (<=.f32 n0_i #s(literal 2722259/680564733841876926926749214863536422912 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)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- n1_i n0_i) (neg.f32 n0_i))) u n0_i))))
(if (<=.f32 n0_i #s(literal -2376845/19807040628566084398385987584 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 (-.f32 #s(literal 1 binary32) u) n0_i))) (if (<=.f32 n0_i #s(literal 2722259/680564733841876926926749214863536422912 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.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)))
Outputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (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 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.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)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) n1_i) (neg.f32 n0_i)) (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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (+.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) n1_i) n0_i) (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) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i #s(approx (* 1/6 (- n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) n1_i))) (*.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) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
(if (<=.f32 n0_i #s(literal -2376845/19807040628566084398385987584 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- n1_i n0_i) (neg.f32 n0_i))) u n0_i)) (if (<=.f32 n0_i #s(literal 2722259/680564733841876926926749214863536422912 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)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- n1_i n0_i) (neg.f32 n0_i))) u n0_i))))
(if (or (<=.f32 n0_i #s(literal -2376845/19807040628566084398385987584 binary32)) (not (<=.f32 n0_i #s(literal 2722259/680564733841876926926749214863536422912 binary32)))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- n1_i n0_i) (neg.f32 n0_i))) u n0_i)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i))))
(if (<=.f32 n0_i #s(literal -2376845/19807040628566084398385987584 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 (-.f32 #s(literal 1 binary32) u) n0_i))) (if (<=.f32 n0_i #s(literal 2722259/680564733841876926926749214863536422912 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))))
(if (or (<=.f32 n0_i #s(literal -2376845/19807040628566084398385987584 binary32)) (not (<=.f32 n0_i #s(literal 2722259/680564733841876926926749214863536422912 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 (-.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 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))

derivations839.0ms (7%)

Memory
-13.9MiB live, 785.3MiB allocated; 147ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09674462
134564225
086553979
010705670
139005597
084575260
03211535
110921412
244151356
082081277
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 564 to 115 computations (79.6% saved)

preprocess82.0ms (0.7%)

Memory
21.9MiB live, 117.1MiB allocated; 11ms collecting garbage
Remove

(abs normAngle)

Compiler

Compiled 1 526 to 472 computations (69.1% saved)

end0.0ms (0%)

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

Profiling

Loading profile data...