UniformSampleCone, y

Time bar (total: 12.0s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated

analyze201.0ms (1.7%)

Memory
2.8MiB live, 276.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0.1%99.9%0%0%0%0
0%0%0.1%99.9%0%0%0%1
0%0%0.1%99.9%0%0%0%2
0%0%0.1%99.9%0%0%0%3
12.5%0%0.1%99.9%0%0%0%4
18.7%0%0.1%99.9%0%0%0%5
28.1%0%0.1%99.9%0%0%0%6
42.2%0%0.1%99.9%0%0%0%7
49.2%0%0%99.9%0%0%0%8
57.4%0.1%0%99.9%0%0%0%9
67%0.1%0%99.9%0%0%0%10
71.8%0.1%0%99.9%0%0%0%11
76.9%0.1%0%99.9%0%0%0%12
Compiler

Compiled 49 to 28 computations (42.9% saved)

sample2.1s (17.2%)

Memory
93.2MiB live, 2 206.9MiB allocated
Samples
1.5s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-sinu: 526.0ms (40.5% of total)
ival-mult: 228.0ms (17.6% of total)
const: 153.0ms (11.8% of total)
ival-<=: 133.0ms (10.2% of total)
ival-sub: 107.0ms (8.2% of total)
ival-sqrt: 60.0ms (4.6% of total)
ival-add: 45.0ms (3.5% of total)
ival-and: 32.0ms (2.5% of total)
exact: 11.0ms (0.8% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain249.0ms (2.1%)

Memory
-4.7MiB live, 291.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1995(0.0025293605867773294 0.0006869518547318876 0.11364296823740005)5(0.006531039718538523 0.03733636066317558 1.7754547493114246e-15)(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
00-0-#s(literal 2 binary32)
00-0-(PI.f32)
00-0-#s(literal 1 binary32)
00-0-(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
00-0-(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
00-0-maxCos
00-0-(*.f32 ux maxCos)
00-0-ux
00-0-(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
00-0-(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
00-0-(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
00-0-uy
00-0-(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
00-0-(*.f32 uy #s(literal 2 binary32))
00-0-(-.f32 #s(literal 1 binary32) ux)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f32(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))cancellation19914
Confusion
Predicted +Predicted -
+1963
-354
Precision
0.9849246231155779
Recall
0.9849246231155779
Confusion?
Predicted +Predicted MaybePredicted -
+19630
-31143
Precision?
0.9342723004694836
Recall?
1.0
Freqs
test
numberfreq
057
1199
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
89.0ms510×0valid
0.0ms1valid
Compiler

Compiled 245 to 52 computations (78.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 23.0ms (50.1% of total)
ival-sinu: 9.0ms (19.6% of total)
ival-sub: 5.0ms (10.9% of total)
ival-sqrt: 4.0ms (8.7% of total)
ival-add: 3.0ms (6.5% of total)
ival-pi: 2.0ms (4.4% of total)
exact: 1.0ms (2.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess358.0ms (3%)

Memory
-9.5MiB live, 299.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064242
1211228
2725226
33293225
47200225
01625
02725
15125
213225
353725
4290623
5733423
0821621
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux ux))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
Symmetry

(negabs uy)

Compiler

Compiled 25 to 16 computations (36% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
Compiler

Compiled 25 to 16 computations (36% saved)

simplify195.0ms (1.6%)

Memory
20.6MiB live, 239.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff0
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
cost-diff64
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff96
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
016108
027108
151108
2132108
3537108
42906102
57334102
0821693
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
#s(literal 1 binary32)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
maxCos
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux ux))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux ux)))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux ux))
#s(literal 1 binary32)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos

localize45.0ms (0.4%)

Memory
-2.8MiB live, 84.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.2421875
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.38671875
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
accuracy0.40625
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy12.919909257022749
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
Samples
35.0ms255×0valid
0.0ms1valid
Compiler

Compiled 110 to 18 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 9.0ms (33.9% of total)
ival-add: 7.0ms (26.4% of total)
ival-sinu: 4.0ms (15.1% of total)
ival-sub: 2.0ms (7.5% of total)
ival-sqrt: 2.0ms (7.5% of total)
ival-pi: 1.0ms (3.8% 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)

series86.0ms (0.7%)

Memory
10.0MiB live, 87.8MiB allocated
Counts
6 → 132
Calls
Call 1
Inputs
#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())
#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())
#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())
#s(alt (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (patch (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) #<representation binary32>) () ())
#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) (patch (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) #<representation binary32>) () ())
Outputs
#s(alt (- 1 (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (pow (- 1 ux) 2) (taylor 0 maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (pow ux 2)) (taylor inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))) (taylor inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))) (taylor inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (pow ux 2)) (taylor -inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
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#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
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#s(alt (* ux (- maxCos 1)) (taylor inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
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#s(alt (* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))) (taylor inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
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#s(alt (* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (taylor -inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)) (taylor -inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
39.0ms
ux
@-inf
((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)))
27.0ms
maxCos
@-inf
((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)))
3.0ms
ux
@0
((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)))
2.0ms
maxCos
@0
((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)))
2.0ms
uy
@0
((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)))

simplify264.0ms (2.2%)

Memory
4.0MiB live, 233.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04192987
113692839
252502658
082292533
Stop Event
iter limit
node limit
Counts
132 → 132
Calls
Call 1
Inputs
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
1
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
Outputs
(- 1 (pow (- 1 ux) 2))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) (*.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) ux) (*.f32 (neg.f32 ux) maxCos))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) ux) (*.f32 (neg.f32 ux) maxCos))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (*.f32 (neg.f32 ux) maxCos) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) maxCos) (fma.f32 (*.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (*.f32 ux (fma.f32 ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (neg.f32 ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (*.f32 maxCos (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 maxCos ux)) (*.f32 (*.f32 (*.f32 ux (fma.f32 ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) ux)) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (*.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (*.f32 ux (fma.f32 ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (neg.f32 ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(pow (- 1 ux) 2)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(*.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 maxCos (*.f32 #s(literal 2 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 ux (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 ux (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux)
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (*.f32 ux (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal -2 binary32)) ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 #s(literal 2 binary32) ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (*.f32 ux ux))) (*.f32 maxCos maxCos)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 #s(literal 2 binary32) ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (*.f32 ux ux))) (*.f32 maxCos maxCos)))
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (-.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (*.f32 maxCos maxCos)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 ux ux)) (pow.f32 maxCos #s(literal 3 binary32)))) (/.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (*.f32 maxCos maxCos))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32)))))) maxCos)
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (*.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 2 binary32) ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 #s(literal 2 binary32) ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 #s(literal 2 binary32) ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux)
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (*.f32 ux (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal -2 binary32)) ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 ux) maxCos) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)) #s(literal -1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (*.f32 ux ux))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))) maxCos))) (neg.f32 maxCos))))
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (*.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 2 binary32) ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) uy) (*.f32 (PI.f32) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(fma.f32 (pow.f32 uy #s(literal 3 binary32)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)) uy) uy (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)))) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(*.f32 (fma.f32 (pow.f32 uy #s(literal 4 binary32)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 #s(literal -8/315 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 uy uy) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (*.f32 (PI.f32) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))))) uy)
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))) uy)
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(fma.f32 (pow.f32 uy #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)) uy) uy (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
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(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(* 2 (* uy (PI)))
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(* 2 (* uy (PI)))
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(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
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(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
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(sin (* 2 (* uy (PI))))
(sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(sin (* 2 (* uy (PI))))
(sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(sin (* 2 (* uy (PI))))
(sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(sin (* 2 (* uy (PI))))
(sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(* 2 (* uy (PI)))
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(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
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(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
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(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
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(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
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(sin (* 2 (* uy (PI))))
(sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(sin (* 2 (* uy (PI))))
(sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(sin (* 2 (* uy (PI))))
(sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(sin (* 2 (* uy (PI))))
(sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(* ux (- 2 (* 2 maxCos)))
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(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
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(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
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(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
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1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))) #s(literal -1/2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sqrt.f32 (*.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
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(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(fma.f32 (pow.f32 ux #s(literal 4 binary32)) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (pow.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) #s(literal 5 binary32)))) #s(literal -1/16 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (pow.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) #s(literal 3 binary32)))) #s(literal -1/8 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))))) (fma.f32 (*.f32 (*.f32 ux ux) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))) ux)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))))
1
#s(literal 1 binary32)
(+ 1 (* ux (- (* 2 maxCos) 2)))
(fma.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32))) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32))) ux #s(literal 1 binary32))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(*.f32 (neg.f32 ux) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(*.f32 (fma.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))) (*.f32 ux ux)) #s(literal -1/8 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(*.f32 (fma.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) #s(literal 1/16 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))) (*.f32 ux ux)) #s(literal -1/8 binary32) (*.f32 (/.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32))))) ux)
(* (pow ux 2) (pow (- maxCos 1) 2))
(*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(*.f32 (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
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(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux) (neg.f32 ux))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (neg.f32 ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(fma.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) #s(literal 2 binary32)) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))) #s(literal 1/8 binary32) (*.f32 (/.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32)))) ux) ux (*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (neg.f32 ux) (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (-.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32))))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) #s(literal 3 binary32)) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32))) #s(literal 1/16 binary32) (*.f32 (/.f32 (pow.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))) #s(literal -1/8 binary32)))) ux)) (neg.f32 ux))))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))

rewrite285.0ms (2.4%)

Memory
-7.2MiB live, 275.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01675
02757
110357
284357
0921853
Stop Event
iter limit
node limit
iter limit
Counts
6 → 638
Calls
Call 1
Inputs
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
Outputs
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eval168.0ms (1.4%)

Memory
16.1MiB live, 369.6MiB allocated
Compiler

Compiled 41 149 to 4 230 computations (89.7% saved)

prune118.0ms (1%)

Memory
10.0MiB live, 177.7MiB allocated
Pruning

31 alts after pruning (31 fresh and 0 done)

PrunedKeptTotal
New87231903
Fresh000
Picked101
Done000
Total87331904
Accuracy
97.6%
Counts
904 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.0%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 uy (PI.f32))) (cos.f32 (*.f32 uy (PI.f32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
58.9%
(*.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) uy))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
59.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
16.3%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (*.f32 maxCos ux) (+.f32 #s(literal -1 binary32) (-.f32 ux (*.f32 maxCos ux))) (fma.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))))
28.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))) (*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))))))
27.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)))) (*.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))))))
26.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))))
33.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (expm1.f32 (*.f32 (log1p.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))) #s(literal 4 binary32))) (-.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1 binary32)))))
27.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))))
21.3%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
19.5%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
21.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))))))
22.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
58.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (-.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
59.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
58.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
57.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
59.5%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
58.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
6.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))))))
31.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos))))))
22.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 maxCos (*.f32 #s(literal 2 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))))))
58.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))))))
20.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)))))
7.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
47.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 0 binary32) (expm1.f32 (*.f32 (log1p.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))) #s(literal 2 binary32))))))
33.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))))
23.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
33.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))
51.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
49.8%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) uy) (*.f32 (PI.f32) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
Compiler

Compiled 2 010 to 1 214 computations (39.6% saved)

simplify550.0ms (4.6%)

Memory
5.2MiB live, 197.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
cost-diff0
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff0
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))))))
cost-diff416
(*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
cost-diff0
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
cost-diff64
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff64
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
cost-diff800
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
cost-diff64
(+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))
cost-diff64
(+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))
cost-diff64
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff64
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))
cost-diff0
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
cost-diff0
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
cost-diff64
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff64
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
cost-diff0
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
cost-diff64
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff64
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
cost-diff416
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063820
0109803
1196801
2454791
31515781
45782781
08091711
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
#s(literal 1 binary32)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
maxCos
#s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)
(/.f32 #s(literal 1 binary32) ux)
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
#s(literal 1 binary32)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
maxCos
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))
#s(literal 1 binary32)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
maxCos
(+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))
(neg.f32 ux)
(+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))
(*.f32 maxCos ux)
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
uy
(*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))
#s(literal 2 binary32)
(sqrt.f32 (PI.f32))
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
#s(literal 1 binary32)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
maxCos
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))))
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))))
#s(literal 1 binary32)
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))
(*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
(-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux))
(pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))
(-.f32 #s(literal 1 binary32) maxCos)
maxCos
(/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)
(-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))
#s(literal -2 binary32)
(/.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux ux)
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))
(sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
(fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))
(*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos
#s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)
(/.f32 #s(literal 1 binary32) ux)
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))
(sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))
(fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))
(*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos
(+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(neg.f32 ux)
(+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))
(fma.f32 maxCos ux #s(literal 1 binary32))
(*.f32 maxCos ux)
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)
uy
(*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
#s(literal 2 binary32)
(sqrt.f32 (PI.f32))
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) ux) ux #s(literal 1 binary32))))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) ux) ux #s(literal 1 binary32)))))
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))))
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) ux) ux #s(literal 1 binary32))))
#s(literal 1 binary32)
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) ux) ux #s(literal 1 binary32)))
(*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
(fma.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) ux) ux #s(literal 1 binary32))
(-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux))
(-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux))
(pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))
(-.f32 #s(literal 1 binary32) maxCos)
maxCos
(/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)
(/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)
(-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux))
(-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
#s(literal -2 binary32)
(/.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux ux)

localize201.0ms (1.7%)

Memory
-3.6MiB live, 319.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.38671875
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))))))
accuracy0.481132519536884
(*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
accuracy12.919909257022749
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))))
accuracy26.175564987435592
(fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))
accuracy0.38671875
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
accuracy0.39453125
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
accuracy0.40625
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy12.919909257022749
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
accuracy0.2421875
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.38671875
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
accuracy0.40625
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))
accuracy12.919909257022749
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))
accuracy0.38671875
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
accuracy0.40625
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy5.95835657786002
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy12.919909257022749
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
accuracy0.38671875
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
accuracy0.40234375
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
accuracy0.40625
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))
accuracy12.919909257022749
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
Samples
116.0ms254×0valid
1.0ms1valid
Compiler

Compiled 681 to 48 computations (93% saved)

Precisions
Click to see histograms. Total time spent on operations: 89.0ms
ival-mult: 26.0ms (29.1% of total)
ival-neg: 26.0ms (29.1% of total)
ival-sub: 8.0ms (8.9% of total)
ival-div: 6.0ms (6.7% of total)
ival-add: 6.0ms (6.7% of total)
ival-sqrt: 5.0ms (5.6% of total)
ival-sinu: 5.0ms (5.6% of total)
ival-sin: 3.0ms (3.4% of total)
ival-pow2: 2.0ms (2.2% of total)
ival-pi: 1.0ms (1.1% 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)

series92.0ms (0.8%)

Memory
-64.8MiB live, 129.7MiB allocated
Counts
23 → 540
Calls
Call 1
Inputs
#s(alt (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) (patch (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) #<representation binary32>) () ())
#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())
#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())
#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())
#s(alt #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (patch #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) #<representation binary32>) () ())
#s(alt (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) (patch (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) (patch (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))) (patch (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))) #<representation binary32>) () ())
#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())
#s(alt (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)) (patch (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)) #<representation binary32>) () ())
#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))))) #<representation binary32>) () ())
#s(alt (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (patch (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) (patch (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) #<representation binary32>) () ())
#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())
#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())
#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) #<representation binary32>) () ())
#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())
#s(alt (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (patch (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) #<representation binary32>) () ())
#s(alt (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (patch (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))) #<representation binary32>) () ())
Outputs
#s(alt (* ux (- (/ 1 ux) 1)) (taylor 0 maxCos) (#s(alt (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) (patch (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos ux) (* ux (- (/ 1 ux) 1))) (taylor 0 maxCos) (#s(alt (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) (patch (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos ux) (* ux (- (/ 1 ux) 1))) (taylor 0 maxCos) (#s(alt (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) (patch (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos ux) (* ux (- (/ 1 ux) 1))) (taylor 0 maxCos) (#s(alt (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) (patch (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) #<representation binary32>) () ())) ())
#s(alt (- 1 (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
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#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) #<representation binary32>) () ())) ())
#s(alt (- 1 (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (- 1 (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) #<representation binary32>) () ())) ())
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) (patch (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) (patch (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) (patch (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) (patch (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 maxCos) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) (patch (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* maxCos ux)) (taylor 0 maxCos) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) (patch (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* maxCos ux)) (taylor 0 maxCos) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) (patch (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* maxCos ux)) (taylor 0 maxCos) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) (patch (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))) (taylor 0 maxCos) (#s(alt (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)) (patch (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))) (taylor 0 maxCos) (#s(alt (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)) (patch (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* maxCos (pow ux 2)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)))) (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))) (taylor 0 maxCos) (#s(alt (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)) (patch (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* maxCos (pow ux 2)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)))) (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))) (taylor 0 maxCos) (#s(alt (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)) (patch (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))))) #<representation binary32>) () ())) ())
#s(alt (pow (- 1 ux) 2) (taylor 0 maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())) ())
#s(alt (+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())) ())
#s(alt (pow (- 1 ux) 2) (taylor 0 maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (pow (- 1 ux) 2) (taylor 0 maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())) ())
#s(alt 2 (taylor 0 maxCos) (#s(alt (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (patch (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -2 maxCos)) (taylor 0 maxCos) (#s(alt (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (patch (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -2 maxCos)) (taylor 0 maxCos) (#s(alt (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (patch (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -2 maxCos)) (taylor 0 maxCos) (#s(alt (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (patch (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (- 1 (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) (patch (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos))) (taylor inf maxCos) (#s(alt (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) (patch (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos))) (taylor inf maxCos) (#s(alt (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) (patch (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos))) (taylor inf maxCos) (#s(alt (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) (patch (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) (patch (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) (patch (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) (patch (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) (patch (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) (patch (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (/ 1 maxCos))) (taylor inf maxCos) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) (patch (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (/ 1 maxCos))) (taylor inf maxCos) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) (patch (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (/ 1 maxCos))) (taylor inf maxCos) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) (patch (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (pow ux 2)) (taylor inf maxCos) (#s(alt (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)) (patch (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos) (pow ux 2))) (taylor inf maxCos) (#s(alt (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)) (patch (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos) (+ (/ (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))) (pow maxCos 2)) (pow ux 2)))) (taylor inf maxCos) (#s(alt (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)) (patch (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos) (+ (/ (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))) (pow maxCos 2)) (pow ux 2)))) (taylor inf maxCos) (#s(alt (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)) (patch (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (pow ux 2)) (taylor inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))) (taylor inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))) (taylor inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (pow ux 2)) (taylor inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))) (taylor inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))) (taylor inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (pow ux 2)) (taylor inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))) (taylor inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))) (taylor inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())) ())
#s(alt (* -2 maxCos) (taylor inf maxCos) (#s(alt (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (patch (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (* 2 (/ 1 maxCos)) 2)) (taylor inf maxCos) (#s(alt (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (patch (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (* 2 (/ 1 maxCos)) 2)) (taylor inf maxCos) (#s(alt (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (patch (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (* 2 (/ 1 maxCos)) 2)) (taylor inf maxCos) (#s(alt (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (patch (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) (patch (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos))))) (taylor -inf maxCos) (#s(alt (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) (patch (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos))))) (taylor -inf maxCos) (#s(alt (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) (patch (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos))))) (taylor -inf maxCos) (#s(alt (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) (patch (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) (patch (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) (patch (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) (patch (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) (patch (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) (patch (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos)))) (taylor -inf maxCos) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) (patch (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos)))) (taylor -inf maxCos) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) (patch (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos)))) (taylor -inf maxCos) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) (patch (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (pow ux 2)) (taylor -inf maxCos) (#s(alt (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)) (patch (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)) (patch (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))) maxCos)) (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)) (patch (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)) #<representation binary32>) () ())) ())
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#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (pow ux 2)) (taylor -inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (pow ux 2)) (taylor -inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (pow ux 2)) (taylor -inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())) ())
#s(alt (* -2 maxCos) (taylor -inf maxCos) (#s(alt (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (patch (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
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#s(alt (+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6))))))))) (taylor 0 ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())) ())
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#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (- maxCos 1)) (taylor inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
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#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 2) (pow (- maxCos 1) 2))) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 2) (pow (- maxCos 1) 2))) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))) #<representation binary32>) () ())) ())
#s(alt (* ux (- maxCos 1)) (taylor inf ux) (#s(alt (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) (patch (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) (patch (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) (patch (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) (patch (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf ux) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) (patch (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (+ maxCos (/ 1 ux))) (taylor inf ux) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) (patch (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (+ maxCos (/ 1 ux))) (taylor inf ux) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) (patch (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (+ maxCos (/ 1 ux))) (taylor inf ux) (#s(alt (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) (patch (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (pow (- 1 maxCos) 2)) (taylor inf ux) (#s(alt (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)) (patch (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (- 1 maxCos) 2))) (taylor inf ux) (#s(alt (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)) (patch (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (+ (/ 1 (pow ux 2)) (pow (- 1 maxCos) 2)))) (taylor inf ux) (#s(alt (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)) (patch (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (+ (/ 1 (pow ux 2)) (pow (- 1 maxCos) 2)))) (taylor inf ux) (#s(alt (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)) (patch (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (pow (- maxCos 1) 2)) (taylor inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))) (taylor inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux)))) (taylor inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux)))) (taylor inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (pow (- maxCos 1) 2)) (taylor inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))) (taylor inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux)))) (taylor inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux)))) (taylor inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (pow (- maxCos 1) 2)) (taylor inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))) (taylor inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux)))) (taylor inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux)))) (taylor inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())) ())
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#s(alt (* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)) (taylor -inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
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#s(alt (* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) (patch (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (taylor -inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))))) #<representation binary32>) () ())) ())
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#s(alt (* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux)))) #<representation binary32>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
5.0ms
maxCos
@inf
((* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux))))) (+ (neg ux) (+ 1 (* maxCos ux))) (+ 1 (* maxCos ux)) (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI))) (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (- (pow (- 1 maxCos) 2) (/ (- (+ (* maxCos -2) 2) (/ 1 ux)) ux)) (* ux ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux))))))) (* uy (* 2 (sqrt (PI)))) (+ (* maxCos -2) 2) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))
3.0ms
uy
@0
((* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux))))) (+ (neg ux) (+ 1 (* maxCos ux))) (+ 1 (* maxCos ux)) (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI))) (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (- (pow (- 1 maxCos) 2) (/ (- (+ (* maxCos -2) 2) (/ 1 ux)) ux)) (* ux ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux))))))) (* uy (* 2 (sqrt (PI)))) (+ (* maxCos -2) 2) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))
2.0ms
maxCos
@0
((* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux))))) (+ (neg ux) (+ 1 (* maxCos ux))) (+ 1 (* maxCos ux)) (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI))) (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (- (pow (- 1 maxCos) 2) (/ (- (+ (* maxCos -2) 2) (/ 1 ux)) ux)) (* ux ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux))))))) (* uy (* 2 (sqrt (PI)))) (+ (* maxCos -2) 2) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))
2.0ms
ux
@-inf
((* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux))))) (+ (neg ux) (+ 1 (* maxCos ux))) (+ 1 (* maxCos ux)) (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI))) (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (- (pow (- 1 maxCos) 2) (/ (- (+ (* maxCos -2) 2) (/ 1 ux)) ux)) (* ux ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux))))))) (* uy (* 2 (sqrt (PI)))) (+ (* maxCos -2) 2) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))
2.0ms
maxCos
@-inf
((* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux))))) (+ (neg ux) (+ 1 (* maxCos ux))) (+ 1 (* maxCos ux)) (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI))) (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (- (pow (- 1 maxCos) 2) (/ (- (+ (* maxCos -2) 2) (/ 1 ux)) ux)) (* ux ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (neg ux) (+ 1 (* maxCos ux))))))) (* uy (* 2 (sqrt (PI)))) (+ (* maxCos -2) 2) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))

simplify269.0ms (2.2%)

Memory
12.3MiB live, 284.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049813664
1164112762
2600312119
0835611495
Stop Event
iter limit
node limit
Counts
540 → 540
Calls
Call 1
Inputs
(* ux (- (/ 1 ux) 1))
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
1
(+ 1 (* maxCos ux))
(+ 1 (* maxCos ux))
(+ 1 (* maxCos ux))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))
(+ (* maxCos (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))))
(+ (* maxCos (+ (* maxCos (pow ux 2)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)))) (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))))
(+ (* maxCos (+ (* maxCos (pow ux 2)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)))) (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
2
(+ 2 (* -2 maxCos))
(+ 2 (* -2 maxCos))
(+ 2 (* -2 maxCos))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(* maxCos ux)
(* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* maxCos (+ ux (/ 1 maxCos)))
(* maxCos (+ ux (/ 1 maxCos)))
(* maxCos (+ ux (/ 1 maxCos)))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos) (pow ux 2)))
(* (pow maxCos 2) (+ (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos) (+ (/ (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (+ (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos) (+ (/ (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))) (pow maxCos 2)) (pow ux 2))))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -2 maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos)))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* maxCos ux)
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))) maxCos)) (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))) maxCos)) (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -2 maxCos)
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* uy (sqrt (PI))))
(* 2 (* uy (sqrt (PI))))
(* 2 (* uy (sqrt (PI))))
(* 2 (* uy (sqrt (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* 2 (* uy (sqrt (PI))))
(* 2 (* uy (sqrt (PI))))
(* 2 (* uy (sqrt (PI))))
(* 2 (* uy (sqrt (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* 2 (* uy (sqrt (PI))))
(* 2 (* uy (sqrt (PI))))
(* 2 (* uy (sqrt (PI))))
(* 2 (* uy (sqrt (PI))))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
1
(+ 1 (* maxCos ux))
(+ 1 (* maxCos ux))
(+ 1 (* maxCos ux))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
1
(+ 1 (* -1 (* ux (+ 2 (* -2 maxCos)))))
(+ 1 (* ux (+ (* -1 (+ 2 (* -2 maxCos))) (* ux (pow (- 1 maxCos) 2)))))
(+ 1 (* ux (+ (* -1 (+ 2 (* -2 maxCos))) (* ux (pow (- 1 maxCos) 2)))))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
1
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
1
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
1
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* maxCos ux)
(* ux (+ maxCos (/ 1 ux)))
(* ux (+ maxCos (/ 1 ux)))
(* ux (+ maxCos (/ 1 ux)))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* (pow ux 2) (pow (- 1 maxCos) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (+ (/ 1 (pow ux 2)) (pow (- 1 maxCos) 2))))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (+ (/ 1 (pow ux 2)) (pow (- 1 maxCos) 2))))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* ux (- maxCos 1))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* maxCos ux)
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* (pow ux 2) (pow (- 1 maxCos) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (- 1 maxCos) 2)))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
Outputs
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- 1 (pow (- 1 ux) 2))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (neg.f32 (*.f32 ux (fma.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32) (*.f32 maxCos ux)))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (neg.f32 (*.f32 ux (fma.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32) (*.f32 maxCos ux)))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (*.f32 (neg.f32 maxCos) ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (*.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (*.f32 ux (fma.f32 ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (neg.f32 ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (*.f32 maxCos (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 maxCos ux)) (*.f32 (*.f32 (*.f32 ux (fma.f32 ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) ux)) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (*.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (*.f32 ux (fma.f32 ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (neg.f32 ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(- 1 (pow (- 1 ux) 2))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (neg.f32 (*.f32 ux (fma.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32) (*.f32 maxCos ux)))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (neg.f32 (*.f32 ux (fma.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32) (*.f32 maxCos ux)))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (*.f32 (neg.f32 maxCos) ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (*.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (*.f32 ux (fma.f32 ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (neg.f32 ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (*.f32 maxCos (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 maxCos ux)) (*.f32 (*.f32 (*.f32 ux (fma.f32 ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) ux)) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (*.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (*.f32 ux (fma.f32 ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (neg.f32 ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(- 1 (pow (- 1 ux) 2))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (neg.f32 (*.f32 ux (fma.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32) (*.f32 maxCos ux)))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (neg.f32 (*.f32 ux (fma.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32) (*.f32 maxCos ux)))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
1
#s(literal 1 binary32)
(+ 1 (* maxCos ux))
(fma.f32 maxCos ux #s(literal 1 binary32))
(+ 1 (* maxCos ux))
(fma.f32 maxCos ux #s(literal 1 binary32))
(+ 1 (* maxCos ux))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (*.f32 (neg.f32 maxCos) ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (*.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (*.f32 ux (fma.f32 ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (neg.f32 ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (*.f32 maxCos (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 maxCos ux)) (*.f32 (*.f32 (*.f32 ux (fma.f32 ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) ux)) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (*.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (*.f32 ux (fma.f32 ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (neg.f32 ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))
(*.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(+ (* maxCos (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))))
(*.f32 (*.f32 ux ux) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) maxCos (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))))
(+ (* maxCos (+ (* maxCos (pow ux 2)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)))) (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))))
(fma.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (+.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) maxCos)))
(+ (* maxCos (+ (* maxCos (pow ux 2)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)))) (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))))
(fma.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (+.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) maxCos)))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (*.f32 (neg.f32 maxCos) ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (*.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (*.f32 ux (fma.f32 ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (neg.f32 ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (*.f32 maxCos (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 maxCos ux)) (*.f32 (*.f32 (*.f32 ux (fma.f32 ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) ux)) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (*.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (*.f32 ux (fma.f32 ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (neg.f32 ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(pow (- 1 ux) 2)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 ux (fma.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32) (*.f32 maxCos ux))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 ux (fma.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32) (*.f32 maxCos ux))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(pow (- 1 ux) 2)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 ux (fma.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32) (*.f32 maxCos ux))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 ux (fma.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32) (*.f32 maxCos ux))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(pow (- 1 ux) 2)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 ux (fma.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32) (*.f32 maxCos ux))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 ux (fma.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32) (*.f32 maxCos ux))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (*.f32 (neg.f32 maxCos) ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (*.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (*.f32 ux (fma.f32 ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (neg.f32 ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (*.f32 maxCos (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 maxCos ux)) (*.f32 (*.f32 (*.f32 ux (fma.f32 ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) ux)) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (*.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (*.f32 ux (fma.f32 ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (neg.f32 ux) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
2
#s(literal 2 binary32)
(+ 2 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(+ 2 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(+ 2 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(- 1 (pow (- 1 ux) 2))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (neg.f32 (*.f32 ux (fma.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32) (*.f32 maxCos ux)))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (neg.f32 (*.f32 ux (fma.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32) (*.f32 maxCos ux)))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux)
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (*.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal -2 binary32) (neg.f32 ux))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 2 binary32) ux) (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos))) (*.f32 maxCos maxCos)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 2 binary32) ux) (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos))) (*.f32 maxCos maxCos)))
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (-.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (*.f32 maxCos maxCos)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) ux) ux)) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (*.f32 maxCos maxCos))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))) maxCos)
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux)
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (*.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal -2 binary32) (neg.f32 ux))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 2 binary32) ux) (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos))) (*.f32 maxCos maxCos)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 2 binary32) ux) (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos))) (*.f32 maxCos maxCos)))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (-.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (*.f32 maxCos maxCos)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) ux) ux)) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (*.f32 maxCos maxCos))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))) maxCos)
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux)
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (*.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal -2 binary32) (neg.f32 ux))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 2 binary32) ux) (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos))) (*.f32 maxCos maxCos)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 2 binary32) ux) (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos))) (*.f32 maxCos maxCos)))
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (+ ux (/ 1 maxCos)))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* maxCos (+ ux (/ 1 maxCos)))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* maxCos (+ ux (/ 1 maxCos)))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (-.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (*.f32 maxCos maxCos)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) ux) ux)) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (*.f32 maxCos maxCos))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))) maxCos)
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)
(* (pow maxCos 2) (+ (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos) (pow ux 2)))
(*.f32 (*.f32 ux (fma.f32 ux (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) maxCos) ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos) (+ (/ (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 (*.f32 ux ux) (+.f32 (/.f32 (/.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)) maxCos) maxCos) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos) (+ (/ (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 (*.f32 ux ux) (+.f32 (/.f32 (/.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)) maxCos) maxCos) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (-.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (*.f32 maxCos maxCos)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) ux) ux)) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (*.f32 maxCos maxCos))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))) maxCos)
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (*.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 2 binary32) ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 2 binary32) ux) (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 2 binary32) ux) (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (*.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 2 binary32) ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 2 binary32) ux) (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 2 binary32) ux) (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (*.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 2 binary32) ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 2 binary32) ux) (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 2 binary32) ux) (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos)) (*.f32 maxCos maxCos))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (-.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (*.f32 maxCos maxCos)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) ux) ux)) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (*.f32 maxCos maxCos))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))) maxCos)
(* -2 maxCos)
(*.f32 #s(literal -2 binary32) maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux)
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (*.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal -2 binary32) (neg.f32 ux))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 2 binary32) ux) (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos))) (*.f32 maxCos maxCos)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 2 binary32) ux) (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) maxCos))) (*.f32 maxCos maxCos)))
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux)
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (*.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal -2 binary32) (neg.f32 ux))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 maxCos) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)) #s(literal -1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 ux ux) maxCos)) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))) maxCos) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) maxCos)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux)
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (*.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal -2 binary32) (neg.f32 ux))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 maxCos) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)) #s(literal -1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 ux ux) maxCos)) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))) maxCos) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) maxCos)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux)
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (*.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal -2 binary32) (neg.f32 ux))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 maxCos) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)) #s(literal -1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 ux ux) maxCos)) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))) maxCos) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) maxCos)))
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (*.f32 (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos) (*.f32 ux ux))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))) maxCos)) (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 ux ux (/.f32 (*.f32 (*.f32 ux ux) (fma.f32 (/.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)) maxCos) #s(literal -1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)))) (neg.f32 maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))) maxCos)) (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 ux ux (/.f32 (*.f32 (*.f32 ux ux) (fma.f32 (/.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)) maxCos) #s(literal -1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)))) (neg.f32 maxCos))) (*.f32 maxCos maxCos))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 maxCos) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)) #s(literal -1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 ux ux) maxCos)) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))) maxCos) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) maxCos)))
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (*.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 2 binary32) ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (*.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 2 binary32) ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (*.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 2 binary32) ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 maxCos) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)) #s(literal -1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 ux ux) maxCos)) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))) maxCos) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) maxCos)))
(* -2 maxCos)
(*.f32 #s(literal -2 binary32) maxCos)
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux)
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (*.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal -2 binary32) (neg.f32 ux))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) uy) uy (*.f32 (PI.f32) #s(literal 2 binary32)))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(fma.f32 (pow.f32 uy #s(literal 3 binary32)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)) uy) uy (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)))) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(*.f32 (fma.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) uy) uy (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (pow.f32 uy #s(literal 4 binary32)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 #s(literal -8/315 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 uy uy) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)))))) uy)
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) uy) uy (*.f32 (PI.f32) #s(literal 2 binary32)))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(fma.f32 (pow.f32 uy #s(literal 3 binary32)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)) uy) uy (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)))) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
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(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
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(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(fma.f32 (pow.f32 uy #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)) uy) uy (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
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(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
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(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
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(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
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(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
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(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
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(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
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(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
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(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
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(* 2 (* uy (PI)))
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(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
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(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
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(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
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(* 2 (* uy (PI)))
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(* 2 (* uy (PI)))
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(* 2 (* uy (PI)))
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(* 2 (* uy (PI)))
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(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
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(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
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(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
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(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
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(* 2 (* uy (sqrt (PI))))
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(* 2 (* uy (sqrt (PI))))
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1
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(fma.f32 (*.f32 (*.f32 ux ux) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))) #s(literal -1/2 binary32) (fma.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))) (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)) ux))) #s(literal -1/16 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)))) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))))
(* ux (- 2 (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
1
#s(literal 1 binary32)
(+ 1 (* maxCos ux))
(fma.f32 maxCos ux #s(literal 1 binary32))
(+ 1 (* maxCos ux))
(fma.f32 maxCos ux #s(literal 1 binary32))
(+ 1 (* maxCos ux))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)))) #s(literal -1/8 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(fma.f32 (*.f32 (*.f32 ux ux) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))) #s(literal -1/2 binary32) (fma.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))) (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)) ux))) #s(literal -1/16 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)))) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))))
1
#s(literal 1 binary32)
(+ 1 (* -1 (* ux (+ 2 (* -2 maxCos)))))
(fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (+ (* -1 (+ 2 (* -2 maxCos))) (* ux (pow (- 1 maxCos) 2)))))
(fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))) ux #s(literal 1 binary32))
(+ 1 (* ux (+ (* -1 (+ 2 (* -2 maxCos))) (* ux (pow (- 1 maxCos) 2)))))
(fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))) ux #s(literal 1 binary32))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)))) #s(literal -1/8 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(fma.f32 (*.f32 (*.f32 ux ux) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))) #s(literal -1/2 binary32) (fma.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))) (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)) ux))) #s(literal -1/16 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)))) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))))
1
#s(literal 1 binary32)
(+ 1 (* ux (- (* 2 maxCos) 2)))
(fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))) ux #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* ux (- (* 2 maxCos) 2)))
(fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))) ux #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* ux (- (* 2 maxCos) 2)))
(fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))) ux #s(literal 1 binary32))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)))) #s(literal -1/8 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(fma.f32 (*.f32 (*.f32 ux ux) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))) #s(literal -1/2 binary32) (fma.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))) (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)) ux))) #s(literal -1/16 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)))) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))))
(* ux (- 2 (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(*.f32 (fma.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/8 binary32) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 ux ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (sqrt.f32 #s(literal -1 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(*.f32 (fma.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (pow.f32 ux #s(literal 3 binary32))) #s(literal 1/16 binary32) (*.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 ux ux)) #s(literal -1/8 binary32))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))))) ux)
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(*.f32 (fma.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/8 binary32) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 ux ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (sqrt.f32 #s(literal -1 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(*.f32 (fma.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (pow.f32 ux #s(literal 3 binary32))) #s(literal 1/16 binary32) (*.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 ux ux)) #s(literal -1/8 binary32))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))))) ux)
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* ux (+ maxCos (/ 1 ux)))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* ux (+ maxCos (/ 1 ux)))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* ux (+ maxCos (/ 1 ux)))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(*.f32 (fma.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/8 binary32) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 ux ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (sqrt.f32 #s(literal -1 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(*.f32 (fma.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (pow.f32 ux #s(literal 3 binary32))) #s(literal 1/16 binary32) (*.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 ux ux)) #s(literal -1/8 binary32))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))))) ux)
(* (pow ux 2) (pow (- 1 maxCos) 2))
(*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (- 1 maxCos) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (+ (/ 1 (pow ux 2)) (pow (- 1 maxCos) 2))))
(fma.f32 (*.f32 (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux) ux) ux (fma.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux #s(literal 1 binary32)))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (+ (/ 1 (pow ux 2)) (pow (- 1 maxCos) 2))))
(fma.f32 (*.f32 (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux) ux) ux (fma.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux #s(literal 1 binary32)))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(*.f32 (fma.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/8 binary32) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 ux ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (sqrt.f32 #s(literal -1 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(*.f32 (fma.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (pow.f32 ux #s(literal 3 binary32))) #s(literal 1/16 binary32) (*.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 ux ux)) #s(literal -1/8 binary32))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))))) ux)
(* (pow ux 2) (pow (- maxCos 1) 2))
(*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(*.f32 (-.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(fma.f32 (*.f32 (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux) ux) ux (fma.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux #s(literal 1 binary32)))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(fma.f32 (*.f32 (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux) ux) ux (fma.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux #s(literal 1 binary32)))
(* (pow ux 2) (pow (- maxCos 1) 2))
(*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(*.f32 (-.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(fma.f32 (*.f32 (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux) ux) ux (fma.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux #s(literal 1 binary32)))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(fma.f32 (*.f32 (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux) ux) ux (fma.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux #s(literal 1 binary32)))
(* (pow ux 2) (pow (- maxCos 1) 2))
(*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(*.f32 (-.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(fma.f32 (*.f32 (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux) ux) ux (fma.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux #s(literal 1 binary32)))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(fma.f32 (*.f32 (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux) ux) ux (fma.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux #s(literal 1 binary32)))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(*.f32 (fma.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/8 binary32) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 ux ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (sqrt.f32 #s(literal -1 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(*.f32 (fma.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (pow.f32 ux #s(literal 3 binary32))) #s(literal 1/16 binary32) (*.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 ux ux)) #s(literal -1/8 binary32))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))))) ux)
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 ux))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(fma.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))) #s(literal 1/8 binary32) (*.f32 (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32)))) ux) ux (*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32))))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) #s(literal 1/16 binary32) (*.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))) #s(literal -1/8 binary32)))) ux)) ux) ux (*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 ux))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(fma.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))) #s(literal 1/8 binary32) (*.f32 (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32)))) ux) ux (*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32))))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) #s(literal 1/16 binary32) (*.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))) #s(literal -1/8 binary32)))) ux)) ux) ux (*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 ux))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(fma.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))) #s(literal 1/8 binary32) (*.f32 (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32)))) ux) ux (*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32))))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) #s(literal 1/16 binary32) (*.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))) #s(literal -1/8 binary32)))) ux)) ux) ux (*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(* (pow ux 2) (pow (- 1 maxCos) 2))
(*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (- 1 maxCos) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (- 1 maxCos) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (- 1 maxCos) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 ux))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(fma.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))) #s(literal 1/8 binary32) (*.f32 (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32)))) ux) ux (*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32))))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) #s(literal 1/16 binary32) (*.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))) #s(literal -1/8 binary32)))) ux)) ux) ux (*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 ux))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(fma.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))) #s(literal 1/8 binary32) (*.f32 (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32)))) ux) ux (*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(fma.f32 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32))))) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) #s(literal 1/16 binary32) (*.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))) #s(literal -1/8 binary32)))) ux)) ux) ux (*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))

rewrite224.0ms (1.9%)

Memory
-0.9MiB live, 283.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063414
0109364
1390348
23251340
08186322
Stop Event
iter limit
node limit
iter limit
Counts
23 → 578
Calls
Call 1
Inputs
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))
(+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))
(+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))
(*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
(fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))))
Outputs
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eval265.0ms (2.2%)

Memory
40.6MiB live, 445.2MiB allocated
Compiler

Compiled 66 594 to 4 444 computations (93.3% saved)

prune131.0ms (1.1%)

Memory
-39.4MiB live, 349.7MiB allocated
Pruning

56 alts after pruning (53 fresh and 3 done)

PrunedKeptTotal
New1 801361 837
Fresh91726
Picked235
Done000
Total1 812561 868
Accuracy
97.7%
Counts
1 868 → 56
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.0%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 uy (PI.f32))) (cos.f32 (*.f32 uy (PI.f32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
23.4%
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
58.9%
(*.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) uy))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
59.5%
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
6.9%
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))))))
59.4%
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
59.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
57.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
30.5%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
23.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
33.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))
16.3%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (*.f32 maxCos ux) (+.f32 #s(literal -1 binary32) (-.f32 ux (*.f32 maxCos ux))) (fma.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))))
29.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))) (*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))))))
27.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)))) (*.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))))))
28.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))))))
28.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))))
6.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 ux ux) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)))) #s(literal 2 binary32))) (+.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 ux ux) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)))) #s(literal 1 binary32)))))
33.5%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (expm1.f32 (*.f32 (log1p.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))) #s(literal 4 binary32))) (-.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1 binary32)))))
6.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 ux ux) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)))) #s(literal 1 binary32))) (/.f32 (pow.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 ux ux) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)))) #s(literal 2 binary32)) (+.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 ux ux) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)))) #s(literal 1 binary32))))))
22.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
18.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
21.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))))))
59.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
59.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
58.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
57.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
58.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
57.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
57.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
31.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos))))))
56.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(approx (* (- (pow (- 1 maxCos) 2) (/ (- (+ (* maxCos -2) 2) (/ 1 ux)) ux)) (* ux ux)) (*.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux)))))))
46.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 0 binary32) (expm1.f32 (*.f32 (log1p.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))) #s(literal 2 binary32))))))
33.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))))
21.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
33.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))
50.0%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))))
36.0%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
49.8%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
50.2%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
20.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 maxCos ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
51.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
51.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
26.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fma.f32 #s(literal -1 binary32) ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
51.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
51.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
50.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
51.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
51.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
26.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
20.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)))))
7.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
62.2%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
76.2%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
28.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))
10.8%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal -2 binary32) (neg.f32 ux))) (*.f32 maxCos maxCos)))))
49.9%
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) uy) (*.f32 (PI.f32) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
Compiler

Compiled 3 584 to 2 218 computations (38.1% saved)

simplify201.0ms (1.7%)

Memory
19.0MiB live, 209.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff0
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))
cost-diff64
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))
cost-diff2944
(-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)))
cost-diff0
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
cost-diff64
(*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
cost-diff64
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
cost-diff448
(-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
cost-diff0
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
cost-diff0
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
cost-diff64
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
cost-diff512
(-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
cost-diff0
(*.f32 (PI.f32) #s(literal 2 binary32))
cost-diff0
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
cost-diff0
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
cost-diff0
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
cost-diff0
(*.f32 (PI.f32) #s(literal 2 binary32))
cost-diff0
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
cost-diff0
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
cost-diff0
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066901
0114839
1240833
2580832
32170830
45515830
08155802
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
#s(literal -2 binary32)
maxCos
ux
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(-.f32 maxCos #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 ux ux)
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))
#s(literal 1 binary32)
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
#s(literal 1 binary32)
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
maxCos
ux
(-.f32 #s(literal 1 binary32) ux)
(*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos)
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
#s(literal 1 binary32)
(*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(neg.f32 ux)
ux
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
maxCos
(-.f32 #s(literal 1 binary32) ux)
(*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 maxCos ux #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux))
(/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos)
(-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos)
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
#s(literal 1 binary32)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(-.f32 #s(literal 1 binary32) ux)
ux
maxCos
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))
(*.f32 (-.f32 #s(literal 1 binary32) ux) ux)
(*.f32 ux ux)
(*.f32 maxCos maxCos)
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 ux ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 ux ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 ux ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(*.f32 (*.f32 ux ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))
(-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
#s(literal -2 binary32)
maxCos
ux
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(-.f32 maxCos #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 ux ux)
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))
#s(literal 1 binary32)
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) #s(literal 1 binary32)))
(-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (-.f32 ux #s(literal 1 binary32)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))
(*.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
maxCos
ux
(-.f32 #s(literal 1 binary32) ux)
(*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)
(*.f32 (*.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) maxCos) ux)
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos)
(*.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) maxCos)
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) #s(literal 1 binary32))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) #s(literal 1 binary32)))
(-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) ux #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) ux)
(neg.f32 ux)
ux
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
maxCos
(-.f32 #s(literal 1 binary32) ux)
(*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))
(fma.f32 maxCos ux #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 maxCos maxCos) (-.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) ux (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos)) (-.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos) (*.f32 ux ux))))) (sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(sin.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))))
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 maxCos maxCos) (-.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) ux (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos)) (-.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos) (*.f32 ux ux)))))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 maxCos maxCos) (-.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) ux (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos)) (-.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos) (*.f32 ux ux))))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(*.f32 (*.f32 maxCos maxCos) (-.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) ux (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos)) (-.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos) (*.f32 ux ux)))
(-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux))
(-.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) ux (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos)) (-.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos) (*.f32 ux ux))
(/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos)
(/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) ux (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos)) (-.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)
(-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)))
(fma.f32 (fma.f32 #s(literal -2 binary32) ux (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos)) (-.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) maxCos))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos)
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
#s(literal 1 binary32)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(-.f32 #s(literal 1 binary32) ux)
ux
maxCos
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))
(*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux)
(*.f32 (-.f32 #s(literal 1 binary32) ux) ux)
(*.f32 ux ux)
(*.f32 maxCos maxCos)

localize186.0ms (1.6%)

Memory
15.6MiB live, 246.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.38671875
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))
accuracy0.41634750976844204
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
accuracy12.895825572285888
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))
accuracy12.915207317368107
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
accuracy0.38671875
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
accuracy0.49526636929459633
(fma.f32 maxCos ux #s(literal 1 binary32))
accuracy0.5986694897110539
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
accuracy13.942963807346176
(-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
accuracy0.38671875
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
accuracy0.5986694897110539
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
accuracy5.95835657786002
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy12.92389462108905
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
accuracy0.38671875
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
accuracy5.95835657786002
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy10.031213111645531
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))
accuracy12.919909257022749
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))
accuracy0.38671875
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
accuracy0.41634750976844204
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
accuracy2.4965519942990517
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
accuracy5.95835657786002
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
Samples
127.0ms255×0valid
1.0ms1valid
Compiler

Compiled 754 to 56 computations (92.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 102.0ms
ival-mult: 33.0ms (32.2% of total)
ival-sqrt: 33.0ms (32.2% of total)
ival-sub: 13.0ms (12.7% of total)
ival-div: 5.0ms (4.9% of total)
ival-add: 5.0ms (4.9% of total)
ival-sinu: 5.0ms (4.9% of total)
ival-pow2: 5.0ms (4.9% of total)
ival-pi: 1.0ms (1% of total)
ival-neg: 1.0ms (1% 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)

series90.0ms (0.8%)

Memory
-8.0MiB live, 121.4MiB allocated
Counts
25 → 552
Calls
Call 1
Inputs
#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) #<representation binary32>) () ())
#s(alt #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (patch #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (patch (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) #<representation binary32>) () ())
#s(alt (*.f32 (PI.f32) #s(literal 2 binary32)) (patch (*.f32 (PI.f32) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())
#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #<representation binary32>) () ())
#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())
#s(alt (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())
#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) #<representation binary32>) () ())
#s(alt (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) (patch (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) (patch (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))))) #<representation binary32>) () ())
#s(alt (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (patch (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (patch (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) (patch (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())
#s(alt (fma.f32 maxCos ux #s(literal 1 binary32)) (patch (fma.f32 maxCos ux #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())
#s(alt (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)) (patch (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)) #<representation binary32>) () ())
#s(alt (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (patch (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #<representation binary32>) () ())
Outputs
#s(alt (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (- 1 (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (- 1 (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* -1 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* -1 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* -1 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #<representation binary32>) () ())) ())
#s(alt (- ux (* -1 (* ux (- 1 ux)))) (taylor 0 maxCos) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (- (+ ux (* -1 (* maxCos (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))))) (* -1 (* ux (- 1 ux)))) (taylor 0 maxCos) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (- (+ ux (* maxCos (- (* -1 (* maxCos (pow ux 2))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))))) (* -1 (* ux (- 1 ux)))) (taylor 0 maxCos) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (- (+ ux (* maxCos (- (* -1 (* maxCos (pow ux 2))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))))) (* -1 (* ux (- 1 ux)))) (taylor 0 maxCos) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (- 1 (* -1 (* ux (- 1 ux)))) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos (pow ux 2))) (* -1 (* ux (- 1 ux)))) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos (pow ux 2))) (* -1 (* ux (- 1 ux)))) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos (pow ux 2))) (* -1 (* ux (- 1 ux)))) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 ux))) (taylor 0 maxCos) (#s(alt (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (- 1 ux)))) (taylor 0 maxCos) (#s(alt (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (- 1 ux)))) (taylor 0 maxCos) (#s(alt (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (- 1 ux)))) (taylor 0 maxCos) (#s(alt (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux))))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux))))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/4 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (* (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2))))) (sqrt (/ 1 (pow (- ux (* -1 (* ux (- 1 ux)))) 3))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux))))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) #<representation binary32>) () ())) ())
#s(alt (/ (- 1 (pow (- 1 ux) 2)) maxCos) (taylor 0 maxCos) (#s(alt (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) (patch (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) maxCos) (taylor 0 maxCos) (#s(alt (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) (patch (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) maxCos) (taylor 0 maxCos) (#s(alt (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) (patch (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) maxCos) (taylor 0 maxCos) (#s(alt (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) (patch (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))))) #<representation binary32>) () ())) ())
#s(alt 2 (taylor 0 maxCos) (#s(alt (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (patch (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -2 maxCos)) (taylor 0 maxCos) (#s(alt (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (patch (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -2 maxCos)) (taylor 0 maxCos) (#s(alt (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (patch (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -2 maxCos)) (taylor 0 maxCos) (#s(alt (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (patch (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (taylor 0 maxCos) (#s(alt (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) (patch (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))) (taylor 0 maxCos) (#s(alt (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) (patch (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))) (taylor 0 maxCos) (#s(alt (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) (patch (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))) (taylor 0 maxCos) (#s(alt (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) (patch (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (- 1 (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (pow (- 1 ux) 2) (taylor 0 maxCos) (#s(alt #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 maxCos) (#s(alt (fma.f32 maxCos ux #s(literal 1 binary32)) (patch (fma.f32 maxCos ux #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* maxCos ux)) (taylor 0 maxCos) (#s(alt (fma.f32 maxCos ux #s(literal 1 binary32)) (patch (fma.f32 maxCos ux #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* maxCos ux)) (taylor 0 maxCos) (#s(alt (fma.f32 maxCos ux #s(literal 1 binary32)) (patch (fma.f32 maxCos ux #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* maxCos ux)) (taylor 0 maxCos) (#s(alt (fma.f32 maxCos ux #s(literal 1 binary32)) (patch (fma.f32 maxCos ux #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (- 1 (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)) (patch (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)) (patch (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos (+ (* -2 (* ux (- 1 ux))) (* -1 (* maxCos (pow ux 2)))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)) (patch (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos (+ (* -2 (* ux (- 1 ux))) (* -1 (* maxCos (pow ux 2)))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)) (patch (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor inf maxCos) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor inf maxCos) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) (taylor inf maxCos) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) (taylor inf maxCos) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (* ux (- 1 ux)))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (/ 1 maxCos) (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos)))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (/ 1 maxCos) (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos)))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (/ 1 maxCos) (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos)))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor inf maxCos) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -1 (/ (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) maxCos)) (pow ux 2))) (taylor inf maxCos) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ ux (pow maxCos 2)) (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (* -1 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2))))))) (taylor inf maxCos) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ ux (pow maxCos 2)) (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (* -1 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2))))))) (taylor inf maxCos) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (pow ux 2)) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (/ 1 maxCos) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2))))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (/ 1 maxCos) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2))))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (/ 1 maxCos) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2))))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (pow ux 2))) (taylor inf maxCos) (#s(alt (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2)))) (taylor inf maxCos) (#s(alt (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2)))) (taylor inf maxCos) (#s(alt (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2)))) (taylor inf maxCos) (#s(alt (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) #<representation binary32>) () ())) ())
#s(alt (* -2 (* ux (- 1 ux))) (taylor inf maxCos) (#s(alt (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) (patch (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (- (/ 1 maxCos) (+ (* 2 (* ux (- 1 ux))) (/ (pow (- 1 ux) 2) maxCos))) (taylor inf maxCos) (#s(alt (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) (patch (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (- (/ 1 maxCos) (+ (* 2 (* ux (- 1 ux))) (/ (pow (- 1 ux) 2) maxCos))) (taylor inf maxCos) (#s(alt (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) (patch (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (- (/ 1 maxCos) (+ (* 2 (* ux (- 1 ux))) (/ (pow (- 1 ux) 2) maxCos))) (taylor inf maxCos) (#s(alt (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) (patch (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))))) #<representation binary32>) () ())) ())
#s(alt (* -2 maxCos) (taylor inf maxCos) (#s(alt (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (patch (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (* 2 (/ 1 maxCos)) 2)) (taylor inf maxCos) (#s(alt (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (patch (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (* 2 (/ 1 maxCos)) 2)) (taylor inf maxCos) (#s(alt (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (patch (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (* 2 (/ 1 maxCos)) 2)) (taylor inf maxCos) (#s(alt (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (patch (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor inf maxCos) (#s(alt (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) (patch (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos))) (taylor inf maxCos) (#s(alt (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) (patch (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2))))) (taylor inf maxCos) (#s(alt (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) (patch (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2))))) (taylor inf maxCos) (#s(alt (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) (patch (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (pow ux 2)) (taylor inf maxCos) (#s(alt #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor inf maxCos) (#s(alt #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))) (taylor inf maxCos) (#s(alt #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))) (taylor inf maxCos) (#s(alt #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (fma.f32 maxCos ux #s(literal 1 binary32)) (patch (fma.f32 maxCos ux #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (/ 1 maxCos))) (taylor inf maxCos) (#s(alt (fma.f32 maxCos ux #s(literal 1 binary32)) (patch (fma.f32 maxCos ux #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (/ 1 maxCos))) (taylor inf maxCos) (#s(alt (fma.f32 maxCos ux #s(literal 1 binary32)) (patch (fma.f32 maxCos ux #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (/ 1 maxCos))) (taylor inf maxCos) (#s(alt (fma.f32 maxCos ux #s(literal 1 binary32)) (patch (fma.f32 maxCos ux #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor inf maxCos) (#s(alt (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)) (patch (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -2 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2)))) (taylor inf maxCos) (#s(alt (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)) (patch (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (+ (* -2 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (/ 1 (pow maxCos 2)))) (/ (pow (- 1 ux) 2) (pow maxCos 2)))) (taylor inf maxCos) (#s(alt (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)) (patch (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (+ (* -2 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (/ 1 (pow maxCos 2)))) (/ (pow (- 1 ux) 2) (pow maxCos 2)))) (taylor inf maxCos) (#s(alt (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)) (patch (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (* ux (- 1 ux)))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -1 (* ux (- 1 ux)))))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -1 (* ux (- 1 ux)))))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -1 (* ux (- 1 ux)))))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (+ (* -1 (/ ux maxCos)) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (/ (pow ux 2) maxCos))) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- ux (* -1 (* ux (- 1 ux)))) maxCos)) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- ux (* -1 (* ux (- 1 ux)))) maxCos)) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (pow ux 2)) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (* -1 (/ (- 1 (* -1 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (* -1 (/ (- 1 (* -1 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (* -1 (/ (- 1 (* -1 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (pow ux 2))) (taylor -inf maxCos) (#s(alt (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))) (taylor -inf maxCos) (#s(alt (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
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#s(alt (* -1 (* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* ux (sqrt -1)))) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* ux (sqrt -1))))) maxCos)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) #<representation binary32>) () ())) ())
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#s(alt (* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))))) #<representation binary32>) () ())) ())
#s(alt (* -2 maxCos) (taylor -inf maxCos) (#s(alt (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (patch (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #<representation binary32>) () ())) ())
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#s(alt (* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2)))) (taylor -inf maxCos) (#s(alt (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) (patch (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2)))) (taylor -inf maxCos) (#s(alt (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) (patch (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2)))) (taylor -inf maxCos) (#s(alt (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) (patch (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) #<representation binary32>) () ())) ())
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#s(alt (* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))) (taylor 0 uy) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))) (taylor 0 uy) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))) (taylor 0 uy) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) #<representation binary32>) () ())) ())
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#s(alt (* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))) (taylor 0 uy) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))) (taylor 0 uy) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* 2 (* (* uy (PI)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (taylor 0 uy) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #<representation binary32>) () ())) ())
#s(alt (* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))) (taylor 0 uy) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #<representation binary32>) () ())) ())
#s(alt (* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))))) (taylor 0 uy) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #<representation binary32>) () ())) ())
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#s(alt (+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))))))) (taylor 0 ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #<representation binary32>) () ())) ())
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#s(alt (* ux (- (* -1 (* ux (- maxCos 1))) 1)) (taylor 0 ux) (#s(alt (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (patch (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
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#s(alt (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) #<representation binary32>) () ())) ())
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#s(alt (* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))) (taylor inf ux) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1)))))) (taylor inf ux) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1)))))) (taylor inf ux) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1)))))) (taylor inf ux) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- maxCos 1)) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
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#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (/ maxCos ux)))) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
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#s(alt (* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #<representation binary32>) () ())) ())
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#s(alt (* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) #<representation binary32>) () ())) ())
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#s(alt (* (pow ux 2) (- (+ 2 (/ 2 (* maxCos ux))) (+ (/ 1 maxCos) (* 2 (/ 1 ux))))) (taylor inf ux) (#s(alt (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) (patch (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
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#s(alt (* maxCos ux) (taylor inf ux) (#s(alt (fma.f32 maxCos ux #s(literal 1 binary32)) (patch (fma.f32 maxCos ux #s(literal 1 binary32)) #<representation binary32>) () ())) ())
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#s(alt (* ux (+ maxCos (/ 1 ux))) (taylor inf ux) (#s(alt (fma.f32 maxCos ux #s(literal 1 binary32)) (patch (fma.f32 maxCos ux #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow ux 2)) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
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#s(alt (* (pow ux 2) (+ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux))) (taylor inf ux) (#s(alt (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)) (patch (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux))) (taylor inf ux) (#s(alt (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)) (patch (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux))) (taylor inf ux) (#s(alt (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)) (patch (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)) #<representation binary32>) () ())) ())
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#s(alt (* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
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#s(alt (* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
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#s(alt (* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))) (taylor -inf ux) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) #<representation binary32>) () ())) ())
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#s(alt (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))) (taylor -inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) (taylor -inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3)))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) (taylor -inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #<representation binary32>) () ())) ())
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#s(alt (* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))) (taylor -inf ux) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #<representation binary32>) () ())) ())
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#s(alt (* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)) (taylor -inf ux) (#s(alt #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf ux) (#s(alt (fma.f32 maxCos ux #s(literal 1 binary32)) (patch (fma.f32 maxCos ux #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (* -1 maxCos) (/ 1 ux)))) (taylor -inf ux) (#s(alt (fma.f32 maxCos ux #s(literal 1 binary32)) (patch (fma.f32 maxCos ux #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (* -1 maxCos) (/ 1 ux)))) (taylor -inf ux) (#s(alt (fma.f32 maxCos ux #s(literal 1 binary32)) (patch (fma.f32 maxCos ux #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (* -1 maxCos) (/ 1 ux)))) (taylor -inf ux) (#s(alt (fma.f32 maxCos ux #s(literal 1 binary32)) (patch (fma.f32 maxCos ux #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow ux 2)) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (* (pow ux 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (taylor -inf ux) (#s(alt (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)) (patch (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* -1 (/ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2))))) ux)) (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))))) (taylor -inf ux) (#s(alt (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)) (patch (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* -1 (/ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2))))) ux)) (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))))) (taylor -inf ux) (#s(alt (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)) (patch (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* -1 (/ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2))))) ux)) (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))))) (taylor -inf ux) (#s(alt (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)) (patch (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor -inf ux) (#s(alt (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (patch (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- 1 (* 2 (/ 1 ux)))) (taylor -inf ux) (#s(alt (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (patch (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 (* -1 (/ (- 2 (/ 1 ux)) ux)))) (taylor -inf ux) (#s(alt (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (patch (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 (* -1 (/ (- 2 (/ 1 ux)) ux)))) (taylor -inf ux) (#s(alt (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (patch (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
12.0ms
maxCos
@-inf
((* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))) (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))))) (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) (* (* (- 1 ux) ux) 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (+ (* -2 maxCos) 2) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) 1) (- 1 (pow (- 1 ux) 2)) (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (pow (- 1 ux) 2))
11.0ms
ux
@0
((* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))) (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))))) (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) (* (* (- 1 ux) ux) 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (+ (* -2 maxCos) 2) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) 1) (- 1 (pow (- 1 ux) 2)) (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (pow (- 1 ux) 2))
7.0ms
ux
@-inf
((* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))) (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))))) (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) (* (* (- 1 ux) ux) 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (+ (* -2 maxCos) 2) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) 1) (- 1 (pow (- 1 ux) 2)) (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (pow (- 1 ux) 2))
6.0ms
ux
@inf
((* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))) (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))))) (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) (* (* (- 1 ux) ux) 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (+ (* -2 maxCos) 2) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) 1) (- 1 (pow (- 1 ux) 2)) (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (pow (- 1 ux) 2))
5.0ms
maxCos
@0
((* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (neg ux) (+ (* maxCos ux) (- 1 ux))) (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))))) (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) (* (* (- 1 ux) ux) 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (+ (* -2 maxCos) 2) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) 1) (- 1 (pow (- 1 ux) 2)) (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (pow (- 1 ux) 2))

simplify275.0ms (2.3%)

Memory
22.5MiB live, 329.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093614793
1316713664
0849313122
Stop Event
iter limit
node limit
Counts
552 → 552
Calls
Call 1
Inputs
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -1 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* -1 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* -1 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(- ux (* -1 (* ux (- 1 ux))))
(- (+ ux (* -1 (* maxCos (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))))) (* -1 (* ux (- 1 ux))))
(- (+ ux (* maxCos (- (* -1 (* maxCos (pow ux 2))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))))) (* -1 (* ux (- 1 ux))))
(- (+ ux (* maxCos (- (* -1 (* maxCos (pow ux 2))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))))) (* -1 (* ux (- 1 ux))))
(- 1 (* -1 (* ux (- 1 ux))))
(- (+ 1 (* maxCos (pow ux 2))) (* -1 (* ux (- 1 ux))))
(- (+ 1 (* maxCos (pow ux 2))) (* -1 (* ux (- 1 ux))))
(- (+ 1 (* maxCos (pow ux 2))) (* -1 (* ux (- 1 ux))))
(* -1 (* ux (- 1 ux)))
(+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (- 1 ux))))
(+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (- 1 ux))))
(+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (- 1 ux))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux))))))
(+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(+ (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/4 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (* (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2))))) (sqrt (/ 1 (pow (- ux (* -1 (* ux (- 1 ux)))) 3))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(/ (- 1 (pow (- 1 ux) 2)) maxCos)
(/ (- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) maxCos)
(/ (- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) maxCos)
(/ (- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) maxCos)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
2
(+ 2 (* -2 maxCos))
(+ 2 (* -2 maxCos))
(+ 2 (* -2 maxCos))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
1
(+ 1 (* maxCos ux))
(+ 1 (* maxCos ux))
(+ 1 (* maxCos ux))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (+ (* -2 (* ux (- 1 ux))) (* -1 (* maxCos (pow ux 2)))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (+ (* -2 (* ux (- 1 ux))) (* -1 (* maxCos (pow ux 2)))))) (pow (- 1 ux) 2))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* -1 (* maxCos (* ux (- 1 ux))))
(* maxCos (- (/ 1 maxCos) (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos))))
(* maxCos (- (/ 1 maxCos) (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos))))
(* maxCos (- (/ 1 maxCos) (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos))))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ ux (pow maxCos 2)) (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (* -1 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))))))
(* (pow maxCos 2) (- (/ ux (pow maxCos 2)) (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (* -1 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))))))
(* maxCos (pow ux 2))
(* maxCos (- (/ 1 maxCos) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2)))))
(* maxCos (- (/ 1 maxCos) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2)))))
(* maxCos (- (/ 1 maxCos) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2)))))
(* -1 (* maxCos (pow ux 2)))
(* maxCos (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2))))
(* maxCos (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2))))
(* maxCos (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2))))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -2 (* ux (- 1 ux)))
(- (/ 1 maxCos) (+ (* 2 (* ux (- 1 ux))) (/ (pow (- 1 ux) 2) maxCos)))
(- (/ 1 maxCos) (+ (* 2 (* ux (- 1 ux))) (/ (pow (- 1 ux) 2) maxCos)))
(- (/ 1 maxCos) (+ (* 2 (* ux (- 1 ux))) (/ (pow (- 1 ux) 2) maxCos)))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -2 maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* maxCos (+ ux (/ 1 maxCos)))
(* maxCos (+ ux (/ 1 maxCos)))
(* maxCos (+ ux (/ 1 maxCos)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (- (+ (* -2 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (/ 1 (pow maxCos 2)))) (/ (pow (- 1 ux) 2) (pow maxCos 2))))
(* (pow maxCos 2) (- (+ (* -2 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (/ 1 (pow maxCos 2)))) (/ (pow (- 1 ux) 2) (pow maxCos 2))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (* ux (- 1 ux))))
(* -1 (* maxCos (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -1 (* ux (- 1 ux))))))
(* -1 (* maxCos (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -1 (* ux (- 1 ux))))))
(* -1 (* maxCos (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -1 (* ux (- 1 ux))))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (+ (* -1 (/ ux maxCos)) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (/ (pow ux 2) maxCos))) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- ux (* -1 (* ux (- 1 ux)))) maxCos)) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- ux (* -1 (* ux (- 1 ux)))) maxCos)) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2)))
(* maxCos (pow ux 2))
(* -1 (* maxCos (- (* -1 (/ (- 1 (* -1 (* ux (- 1 ux)))) maxCos)) (pow ux 2))))
(* -1 (* maxCos (- (* -1 (/ (- 1 (* -1 (* ux (- 1 ux)))) maxCos)) (pow ux 2))))
(* -1 (* maxCos (- (* -1 (/ (- 1 (* -1 (* ux (- 1 ux)))) maxCos)) (pow ux 2))))
(* -1 (* maxCos (pow ux 2)))
(* -1 (* maxCos (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2))))
(* -1 (* maxCos (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2))))
(* -1 (* maxCos (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* ux (sqrt -1)))) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* ux (sqrt -1))))) maxCos)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -2 (* ux (- 1 ux)))
(- (/ 1 maxCos) (+ (* 2 (* ux (- 1 ux))) (/ (pow (- 1 ux) 2) maxCos)))
(- (/ 1 maxCos) (+ (* 2 (* ux (- 1 ux))) (/ (pow (- 1 ux) 2) maxCos)))
(- (/ 1 maxCos) (+ (* 2 (* ux (- 1 ux))) (/ (pow (- 1 ux) 2) maxCos)))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -2 maxCos)
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* maxCos ux)
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* 2 (* ux (- 1 ux)))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* 2 (* ux (- 1 ux)))) maxCos)) (* -1 (pow ux 2))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* 2 (* (PI) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))))))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(* ux (- 2 maxCos))
(* ux (- (+ 2 (* ux (- maxCos 1))) maxCos))
(* ux (- (+ 2 (* ux (- maxCos 1))) maxCos))
(* ux (- (+ 2 (* ux (- maxCos 1))) maxCos))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
1
(+ 1 ux)
(+ 1 (* ux (+ 1 (* ux (- maxCos 1)))))
(+ 1 (* ux (+ 1 (* ux (- maxCos 1)))))
(* -1 ux)
(* ux (- (* -1 (* ux (- maxCos 1))) 1))
(* ux (- (* -1 (* ux (- maxCos 1))) 1))
(* ux (- (* -1 (* ux (- maxCos 1))) 1))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))
(* ux (- (* 2 (/ 1 maxCos)) 2))
(* ux (- (+ (* 2 (/ 1 maxCos)) (* ux (- 2 (/ 1 maxCos)))) 2))
(* ux (- (+ (* 2 (/ 1 maxCos)) (* ux (- 2 (/ 1 maxCos)))) 2))
(* ux (- (+ (* 2 (/ 1 maxCos)) (* ux (- 2 (/ 1 maxCos)))) 2))
(* 2 ux)
(* ux (+ 2 (* -2 ux)))
(* ux (+ 2 (* -2 ux)))
(* ux (+ 2 (* -2 ux)))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(* ux (+ 2 (* -2 maxCos)))
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
1
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
1
(+ 1 (* maxCos ux))
(+ 1 (* maxCos ux))
(+ 1 (* maxCos ux))
(* 2 ux)
(* ux (+ 2 (* -1 ux)))
(* ux (+ 2 (* -1 ux)))
(* ux (+ 2 (* -1 ux)))
(* (pow maxCos 2) (* ux (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))))
(* ux (+ (* (pow maxCos 2) (* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))))
(* ux (+ (* (pow maxCos 2) (* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))))
(* ux (+ (* (pow maxCos 2) (* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))))
1
(+ 1 (* -2 ux))
(+ 1 (* ux (- ux 2)))
(+ 1 (* ux (- ux 2)))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* -1 (* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(* (pow ux 2) (- maxCos 1))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (/ maxCos ux))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (/ maxCos ux))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (/ maxCos ux))))
(* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
(* -1 (* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(* (pow ux 2) (- maxCos 1))
(* (pow ux 2) (- (/ 1 ux) (* -1 (- maxCos 1))))
(* (pow ux 2) (- (+ (/ 1 ux) (/ 1 (pow ux 2))) (* -1 (- maxCos 1))))
(* (pow ux 2) (- (+ (/ 1 ux) (/ 1 (pow ux 2))) (* -1 (- maxCos 1))))
(* -1 (* (pow ux 2) (- maxCos 1)))
(* (pow ux 2) (- (* -1 (- maxCos 1)) (/ 1 ux)))
(* (pow ux 2) (- (* -1 (- maxCos 1)) (/ 1 ux)))
(* (pow ux 2) (- (* -1 (- maxCos 1)) (/ 1 ux)))
(* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
(* (pow ux 2) (- 2 (/ 1 maxCos)))
(* (pow ux 2) (- (+ 2 (/ 2 (* maxCos ux))) (+ (/ 1 maxCos) (* 2 (/ 1 ux)))))
(* (pow ux 2) (- (+ 2 (/ 2 (* maxCos ux))) (+ (/ 1 maxCos) (* 2 (/ 1 ux)))))
(* (pow ux 2) (- (+ 2 (/ 2 (* maxCos ux))) (+ (/ 1 maxCos) (* 2 (/ 1 ux)))))
(* -2 (pow ux 2))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 2))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 2))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 2))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* maxCos ux)
(* ux (+ maxCos (/ 1 ux)))
(* ux (+ maxCos (/ 1 ux)))
(* ux (+ maxCos (/ 1 ux)))
(* -1 (pow ux 2))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(* (pow maxCos 2) (* (pow ux 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))))
(* (pow ux 2) (+ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux)))
(* (pow ux 2) (+ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux)))
(* (pow ux 2) (+ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux)))
(pow ux 2)
(* (pow ux 2) (- 1 (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* -1 (* (pow ux 2) (+ 1 (* -1 maxCos))))
(* (pow ux 2) (- (+ (* -1 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (* -1 maxCos))))
(* (pow ux 2) (- (+ (* -1 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (* -1 maxCos))))
(* (pow ux 2) (- (+ (* -1 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (* -1 maxCos))))
(* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))
(* -1 (* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3)))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))) (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 5)))))) ux)) (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* -1 (* (pow ux 2) (+ 1 (* -1 maxCos))))
(* (pow ux 2) (- (/ 1 ux) (+ 1 (* -1 maxCos))))
(* (pow ux 2) (- (+ (/ 1 ux) (/ 1 (pow ux 2))) (+ 1 (* -1 maxCos))))
(* (pow ux 2) (- (+ (/ 1 ux) (/ 1 (pow ux 2))) (+ 1 (* -1 maxCos))))
(* (pow ux 2) (+ 1 (* -1 maxCos)))
(* (pow ux 2) (- (+ 1 (* -1 maxCos)) (/ 1 ux)))
(* (pow ux 2) (- (+ 1 (* -1 maxCos)) (/ 1 ux)))
(* (pow ux 2) (- (+ 1 (* -1 maxCos)) (/ 1 ux)))
(* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))
(* -1 (* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3)))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))) (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 5)))))) ux)) (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* (pow ux 2) (- 2 (/ 1 maxCos)))
(* (pow ux 2) (- (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 maxCos))) ux))) (/ 1 maxCos)))
(* (pow ux 2) (- (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 maxCos))) ux))) (/ 1 maxCos)))
(* (pow ux 2) (- (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 maxCos))) ux))) (/ 1 maxCos)))
(* -2 (pow ux 2))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 2))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 2))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 2))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* maxCos ux)
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))
(* -1 (pow ux 2))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(* (pow maxCos 2) (* (pow ux 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))))
(* (pow ux 2) (+ (* -1 (/ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2))))) ux)) (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))))
(* (pow ux 2) (+ (* -1 (/ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2))))) ux)) (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))))
(* (pow ux 2) (+ (* -1 (/ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2))))) ux)) (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))))
(pow ux 2)
(* (pow ux 2) (- 1 (* 2 (/ 1 ux))))
(* (pow ux 2) (+ 1 (* -1 (/ (- 2 (/ 1 ux)) ux))))
(* (pow ux 2) (+ 1 (* -1 (/ (- 2 (/ 1 ux)) ux))))
Outputs
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(-.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 maxCos ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 maxCos (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux))) (neg.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 (*.f32 maxCos ux) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(-.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 maxCos ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 maxCos (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux))) (neg.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 (*.f32 maxCos ux) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(- 1 (pow (- 1 ux) 2))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (*.f32 (*.f32 ux ux) maxCos)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (*.f32 (*.f32 ux ux) maxCos)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- 1 (pow (- 1 ux) 2))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* -1 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* -1 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* -1 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(-.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 maxCos ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 maxCos (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux))) (neg.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 (*.f32 maxCos ux) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(- ux (* -1 (* ux (- 1 ux))))
(+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))
(- (+ ux (* -1 (* maxCos (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))))) (* -1 (* ux (- 1 ux))))
(fma.f32 (neg.f32 maxCos) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))
(- (+ ux (* maxCos (- (* -1 (* maxCos (pow ux 2))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))))) (* -1 (* ux (- 1 ux))))
(fma.f32 (neg.f32 (fma.f32 (*.f32 ux ux) maxCos (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))) maxCos (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))
(- (+ ux (* maxCos (- (* -1 (* maxCos (pow ux 2))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))))) (* -1 (* ux (- 1 ux))))
(fma.f32 (neg.f32 (fma.f32 (*.f32 ux ux) maxCos (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))) maxCos (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))
(- 1 (* -1 (* ux (- 1 ux))))
(+.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))
(- (+ 1 (* maxCos (pow ux 2))) (* -1 (* ux (- 1 ux))))
(fma.f32 (*.f32 ux ux) maxCos (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))
(- (+ 1 (* maxCos (pow ux 2))) (* -1 (* ux (- 1 ux))))
(fma.f32 (*.f32 ux ux) maxCos (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))
(- (+ 1 (* maxCos (pow ux 2))) (* -1 (* ux (- 1 ux))))
(fma.f32 (*.f32 ux ux) maxCos (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))
(* -1 (* ux (- 1 ux)))
(*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) ux))
(+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (- 1 ux))))
(neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (*.f32 ux ux) maxCos)))
(+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (- 1 ux))))
(neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (*.f32 ux ux) maxCos)))
(+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (- 1 ux))))
(neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (*.f32 ux ux) maxCos)))
(* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux))))))
(*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))) (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) maxCos)) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))) (fma.f32 (*.f32 maxCos (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (fma.f32 (/.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #s(literal 1/4 binary32) (*.f32 ux ux)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))) maxCos (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/4 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (* (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2))))) (sqrt (/ 1 (pow (- ux (* -1 (* ux (- 1 ux)))) 3))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 (/.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #s(literal 1/4 binary32) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))) (*.f32 (*.f32 maxCos (*.f32 (*.f32 (*.f32 (fma.f32 (/.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #s(literal 1/4 binary32) (*.f32 ux ux)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 3 binary32)))))) #s(literal -1/4 binary32))) maxCos (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))) maxCos (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(/ (- 1 (pow (- 1 ux) 2)) maxCos)
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos)
(/ (- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) maxCos)
(/.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) maxCos)
(/ (- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) maxCos)
(/.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) maxCos)
(/ (- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) maxCos)
(/.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) maxCos)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(-.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 maxCos ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 maxCos (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux))) (neg.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 (*.f32 maxCos ux) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
2
#s(literal 2 binary32)
(+ 2 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(+ 2 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(+ 2 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))
(+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(fma.f32 (*.f32 (*.f32 ux ux) (fma.f32 maxCos #s(literal -1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)))) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(fma.f32 (*.f32 (*.f32 ux ux) (fma.f32 maxCos #s(literal -1 binary32) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)))) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux)))
(- 1 (pow (- 1 ux) 2))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (*.f32 (*.f32 ux ux) maxCos)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (*.f32 (*.f32 ux ux) maxCos)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(pow (- 1 ux) 2)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32) (*.f32 (*.f32 ux ux) maxCos)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32) (*.f32 (*.f32 ux ux) maxCos)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
1
#s(literal 1 binary32)
(+ 1 (* maxCos ux))
(fma.f32 maxCos ux #s(literal 1 binary32))
(+ 1 (* maxCos ux))
(fma.f32 maxCos ux #s(literal 1 binary32))
(+ 1 (* maxCos ux))
(fma.f32 maxCos ux #s(literal 1 binary32))
(- 1 (pow (- 1 ux) 2))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(- (+ 1 (* maxCos (+ (* -2 (* ux (- 1 ux))) (* -1 (* maxCos (pow ux 2)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (*.f32 (*.f32 ux ux) maxCos)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* maxCos (+ (* -2 (* ux (- 1 ux))) (* -1 (* maxCos (pow ux 2)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (*.f32 (*.f32 ux ux) maxCos)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 maxCos ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (fma.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) (*.f32 ux ux))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 maxCos ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (fma.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) (*.f32 ux ux))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(* -1 (* maxCos (* ux (- 1 ux))))
(*.f32 (*.f32 (neg.f32 maxCos) ux) (-.f32 #s(literal 1 binary32) ux))
(* maxCos (- (/ 1 maxCos) (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos))))
(*.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) maxCos)
(* maxCos (- (/ 1 maxCos) (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos))))
(*.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) maxCos)
(* maxCos (- (/ 1 maxCos) (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos))))
(*.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) maxCos)
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 maxCos ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (fma.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) (*.f32 ux ux))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (- (* -1 (/ (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ ux (pow maxCos 2)) (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (* -1 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))))))
(*.f32 (-.f32 (/.f32 ux (*.f32 maxCos maxCos)) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (/.f32 ux maxCos)))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ ux (pow maxCos 2)) (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (* -1 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))))))
(*.f32 (-.f32 (/.f32 ux (*.f32 maxCos maxCos)) (-.f32 (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (/.f32 ux maxCos)))) (*.f32 maxCos maxCos))
(* maxCos (pow ux 2))
(*.f32 (*.f32 ux ux) maxCos)
(* maxCos (- (/ 1 maxCos) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2)))))
(*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) maxCos) (*.f32 ux ux)) maxCos)
(* maxCos (- (/ 1 maxCos) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2)))))
(*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) maxCos) (*.f32 ux ux)) maxCos)
(* maxCos (- (/ 1 maxCos) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2)))))
(*.f32 (+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) maxCos) (*.f32 ux ux)) maxCos)
(* -1 (* maxCos (pow ux 2)))
(*.f32 (neg.f32 maxCos) (*.f32 ux ux))
(* maxCos (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 maxCos) (*.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)))
(* maxCos (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 maxCos) (*.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)))
(* maxCos (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 maxCos) (*.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 maxCos ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 maxCos ux)) (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)) maxCos)
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) maxCos) (fma.f32 (*.f32 ux (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 (*.f32 (-.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32)))) maxCos)
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) maxCos) (fma.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 (*.f32 (*.f32 (-.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (fma.f32 (*.f32 ux (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 (*.f32 (-.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32))))) maxCos)
(* -2 (* ux (- 1 ux)))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32))
(- (/ 1 maxCos) (+ (* 2 (* ux (- 1 ux))) (/ (pow (- 1 ux) 2) maxCos)))
(-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)))
(- (/ 1 maxCos) (+ (* 2 (* ux (- 1 ux))) (/ (pow (- 1 ux) 2) maxCos)))
(-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)))
(- (/ 1 maxCos) (+ (* 2 (* ux (- 1 ux))) (/ (pow (- 1 ux) 2) maxCos)))
(-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 maxCos ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (fma.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) (*.f32 ux ux))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)
(* -2 maxCos)
(*.f32 #s(literal -2 binary32) maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)))
(*.f32 (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos) #s(literal -1 binary32))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(*.f32 (-.f32 (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 maxCos maxCos)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(*.f32 (-.f32 (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 maxCos maxCos)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos)))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos)))) (*.f32 maxCos maxCos))
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (+ ux (/ 1 maxCos)))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* maxCos (+ ux (/ 1 maxCos)))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* maxCos (+ ux (/ 1 maxCos)))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2))))
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (+ (* -2 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (/ 1 (pow maxCos 2)))) (/ (pow (- 1 ux) 2) (pow maxCos 2))))
(*.f32 (-.f32 (fma.f32 (neg.f32 ux) ux (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (+ (* -2 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (/ 1 (pow maxCos 2)))) (/ (pow (- 1 ux) 2) (pow maxCos 2))))
(*.f32 (-.f32 (fma.f32 (neg.f32 ux) ux (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))) (*.f32 maxCos maxCos))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 maxCos) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 maxCos ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) maxCos)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (-.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 ux ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) maxCos)) maxCos)))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 maxCos) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 maxCos ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) maxCos)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (-.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 ux ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) maxCos)) maxCos)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (neg.f32 (fma.f32 ux ux (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos)) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (neg.f32 (fma.f32 ux ux (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos)) maxCos))) (*.f32 maxCos maxCos))
(* -1 (* maxCos (* ux (- 1 ux))))
(*.f32 (*.f32 (neg.f32 maxCos) ux) (-.f32 #s(literal 1 binary32) ux))
(* -1 (* maxCos (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -1 (* ux (- 1 ux))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) #s(literal -1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))
(* -1 (* maxCos (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -1 (* ux (- 1 ux))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) #s(literal -1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))
(* -1 (* maxCos (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -1 (* ux (- 1 ux))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) #s(literal -1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 maxCos) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 maxCos ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) maxCos)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (-.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 ux ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) maxCos)) maxCos)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (- (+ (* -1 (/ ux maxCos)) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (/ (pow ux 2) maxCos))) (pow ux 2)))
(*.f32 (-.f32 (-.f32 (-.f32 (/.f32 (*.f32 ux ux) maxCos) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)) (/.f32 ux maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- ux (* -1 (* ux (- 1 ux)))) maxCos)) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) maxCos) #s(literal -1 binary32) ux) (-.f32 (*.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- ux (* -1 (* ux (- 1 ux)))) maxCos)) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) maxCos) #s(literal -1 binary32) ux) (-.f32 (*.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* maxCos (pow ux 2))
(*.f32 (*.f32 ux ux) maxCos)
(* -1 (* maxCos (- (* -1 (/ (- 1 (* -1 (* ux (- 1 ux)))) maxCos)) (pow ux 2))))
(*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (neg.f32 maxCos)) (*.f32 ux ux)))
(* -1 (* maxCos (- (* -1 (/ (- 1 (* -1 (* ux (- 1 ux)))) maxCos)) (pow ux 2))))
(*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (neg.f32 maxCos)) (*.f32 ux ux)))
(* -1 (* maxCos (- (* -1 (/ (- 1 (* -1 (* ux (- 1 ux)))) maxCos)) (pow ux 2))))
(*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (neg.f32 maxCos)) (*.f32 ux ux)))
(* -1 (* maxCos (pow ux 2)))
(*.f32 (neg.f32 maxCos) (*.f32 ux ux))
(* -1 (* maxCos (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2))))
(*.f32 (neg.f32 maxCos) (*.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)))
(* -1 (* maxCos (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2))))
(*.f32 (neg.f32 maxCos) (*.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)))
(* -1 (* maxCos (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2))))
(*.f32 (neg.f32 maxCos) (*.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 maxCos) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* -1 (* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos ux)) (/.f32 (*.f32 (-.f32 (-.f32 (*.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* ux (sqrt -1)))) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (-.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 (*.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) #s(literal 2 binary32)) (*.f32 ux ux)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos))))) maxCos)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* ux (sqrt -1))))) maxCos)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 ux (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (-.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) ux) (/.f32 (*.f32 (-.f32 (-.f32 (*.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) maxCos) (/.f32 (*.f32 (*.f32 (-.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 (*.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) #s(literal 2 binary32)) (*.f32 ux ux)))) (-.f32 (-.f32 (*.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (*.f32 (*.f32 (/.f32 (-.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 (*.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) #s(literal 2 binary32)) (*.f32 ux ux)))) ux) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32))) maxCos)) (neg.f32 maxCos))))
(* -2 (* ux (- 1 ux)))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32))
(- (/ 1 maxCos) (+ (* 2 (* ux (- 1 ux))) (/ (pow (- 1 ux) 2) maxCos)))
(-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)))
(- (/ 1 maxCos) (+ (* 2 (* ux (- 1 ux))) (/ (pow (- 1 ux) 2) maxCos)))
(-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)))
(- (/ 1 maxCos) (+ (* 2 (* ux (- 1 ux))) (/ (pow (- 1 ux) 2) maxCos)))
(-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 maxCos) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 maxCos ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) maxCos)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (-.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 ux ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) maxCos)) maxCos)))
(* -2 maxCos)
(*.f32 #s(literal -2 binary32) maxCos)
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (fma.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) maxCos) (*.f32 ux ux))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (fma.f32 ux ux (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (neg.f32 ux) ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (fma.f32 ux ux (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (neg.f32 ux) ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos))) (*.f32 maxCos maxCos))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (neg.f32 (fma.f32 ux ux (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos)) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (neg.f32 (fma.f32 ux ux (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos)) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)) (*.f32 maxCos maxCos))
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 maxCos)) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 maxCos)) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 maxCos)) ux))
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
(*.f32 (neg.f32 maxCos) (-.f32 (neg.f32 ux) (/.f32 #s(literal 1 binary32) maxCos)))
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
(*.f32 (neg.f32 maxCos) (-.f32 (neg.f32 ux) (/.f32 #s(literal 1 binary32) maxCos)))
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
(*.f32 (neg.f32 maxCos) (-.f32 (neg.f32 ux) (/.f32 #s(literal 1 binary32) maxCos)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2))))
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* 2 (* ux (- 1 ux)))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (fma.f32 ux ux (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos)) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* 2 (* ux (- 1 ux)))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (fma.f32 ux ux (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos)) maxCos))) (*.f32 maxCos maxCos))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32)))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(*.f32 (fma.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 #s(literal 4/15 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 #s(literal -8/315 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)))) (*.f32 uy uy) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) uy)
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(*.f32 (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))) uy)
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 4/15 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32))) (*.f32 uy uy) (*.f32 (PI.f32) #s(literal 2 binary32))) uy)
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -8/315 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32))) (*.f32 uy uy) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32))) (*.f32 uy uy) (*.f32 (PI.f32) #s(literal 2 binary32))) uy)
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32)))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(*.f32 (fma.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 #s(literal 4/15 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 #s(literal -8/315 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)))) (*.f32 uy uy) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) uy)
(* 2 (* (* uy (PI)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))
(*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))
(*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 #s(literal -4/3 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32)))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))
(*.f32 (fma.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 #s(literal 4/15 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 #s(literal -8/315 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)))) (*.f32 uy uy) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) uy)
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(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* 2 (* (PI) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))))
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(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))))))
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(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))))))))
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(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
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(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
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(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
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(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
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(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
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(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
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(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
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(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
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(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))
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(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))
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(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))
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(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))
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(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
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(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
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(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
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(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
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(sin (* 2 (* uy (PI))))
(sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))
(sin (* 2 (* uy (PI))))
(sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))
(sin (* 2 (* uy (PI))))
(sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))
(sin (* 2 (* uy (PI))))
(sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)) ux)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) #s(literal -1/8 binary32))) (*.f32 ux ux) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)) ux)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) #s(literal -1/8 binary32))) (*.f32 ux ux) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* ux (- 2 (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)
(* ux (- 2 maxCos))
(*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)
(* ux (- (+ 2 (* ux (- maxCos 1))) maxCos))
(*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)
(* ux (- (+ 2 (* ux (- maxCos 1))) maxCos))
(*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)
(* ux (- (+ 2 (* ux (- maxCos 1))) maxCos))
(*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) (*.f32 (pow.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)) ux)))) (*.f32 (pow.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 3 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (*.f32 (pow.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) #s(literal -1/8 binary32))) (*.f32 ux ux) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* ux (- 2 (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)
1
#s(literal 1 binary32)
(+ 1 ux)
(+.f32 ux #s(literal 1 binary32))
(+ 1 (* ux (+ 1 (* ux (- maxCos 1)))))
(fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux #s(literal 1 binary32))
(+ 1 (* ux (+ 1 (* ux (- maxCos 1)))))
(fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux #s(literal 1 binary32))
(* -1 ux)
(neg.f32 ux)
(* ux (- (* -1 (* ux (- maxCos 1))) 1))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) ux #s(literal -1 binary32)) ux)
(* ux (- (* -1 (* ux (- maxCos 1))) 1))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) ux #s(literal -1 binary32)) ux)
(* ux (- (* -1 (* ux (- maxCos 1))) 1))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) ux #s(literal -1 binary32)) ux)
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
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(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
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(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))))))
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(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))
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(* ux (- (* 2 (/ 1 maxCos)) 2))
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(* ux (- (+ (* 2 (/ 1 maxCos)) (* ux (- 2 (/ 1 maxCos)))) 2))
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(* ux (- (+ (* 2 (/ 1 maxCos)) (* ux (- 2 (/ 1 maxCos)))) 2))
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(* ux (- (+ (* 2 (/ 1 maxCos)) (* ux (- 2 (/ 1 maxCos)))) 2))
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(* 2 ux)
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(* ux (+ 2 (* -2 ux)))
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(* ux (+ 2 (* -2 ux)))
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(* ux (+ 2 (* -2 ux)))
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(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
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(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
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(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
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(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
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(* ux (+ 2 (* -2 maxCos)))
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(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
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(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
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(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
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(* ux (- 2 (* 2 maxCos)))
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(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
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(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
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(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
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1
#s(literal 1 binary32)
(+ 1 (* ux (- (* 2 maxCos) 2)))
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(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
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(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
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1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
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#s(literal 1 binary32)
(+ 1 (* maxCos ux))
(fma.f32 maxCos ux #s(literal 1 binary32))
(+ 1 (* maxCos ux))
(fma.f32 maxCos ux #s(literal 1 binary32))
(+ 1 (* maxCos ux))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* 2 ux)
(*.f32 ux #s(literal 2 binary32))
(* ux (+ 2 (* -1 ux)))
(*.f32 (-.f32 #s(literal 2 binary32) ux) ux)
(* ux (+ 2 (* -1 ux)))
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(* ux (+ 2 (* -1 ux)))
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(* (pow maxCos 2) (* ux (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))))
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(* ux (+ (* (pow maxCos 2) (* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))))
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(* ux (+ (* (pow maxCos 2) (* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))))
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(* ux (+ (* (pow maxCos 2) (* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))))
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1
#s(literal 1 binary32)
(+ 1 (* -2 ux))
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(+ 1 (* ux (- ux 2)))
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(+ 1 (* ux (- ux 2)))
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(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
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(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
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(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
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(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
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(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
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(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
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(* -1 (* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (neg.f32 ux) ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
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(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
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(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
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(* (pow ux 2) (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (/ maxCos ux))))
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(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (/ maxCos ux))))
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(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (/ maxCos ux))))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))
(* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
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(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
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(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
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(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
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(* -1 (* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
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(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
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(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
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(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
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(* (pow ux 2) (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) (*.f32 ux ux))
(* (pow ux 2) (- (/ 1 ux) (* -1 (- maxCos 1))))
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(* (pow ux 2) (- (+ (/ 1 ux) (/ 1 (pow ux 2))) (* -1 (- maxCos 1))))
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(* (pow ux 2) (- (+ (/ 1 ux) (/ 1 (pow ux 2))) (* -1 (- maxCos 1))))
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(* -1 (* (pow ux 2) (- maxCos 1)))
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(* (pow ux 2) (- (* -1 (- maxCos 1)) (/ 1 ux)))
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(* (pow ux 2) (- (* -1 (- maxCos 1)) (/ 1 ux)))
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux)) (*.f32 ux ux))
(* (pow ux 2) (- (* -1 (- maxCos 1)) (/ 1 ux)))
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux)) (*.f32 ux ux))
(* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
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(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) ux)
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
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(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
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(* (pow ux 2) (- 2 (/ 1 maxCos)))
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(* (pow ux 2) (- (+ 2 (/ 2 (* maxCos ux))) (+ (/ 1 maxCos) (* 2 (/ 1 ux)))))
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(* (pow ux 2) (- (+ 2 (/ 2 (* maxCos ux))) (+ (/ 1 maxCos) (* 2 (/ 1 ux)))))
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(* (pow ux 2) (- (+ 2 (/ 2 (* maxCos ux))) (+ (/ 1 maxCos) (* 2 (/ 1 ux)))))
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(* -2 (pow ux 2))
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(* (pow ux 2) (- (* 2 (/ 1 ux)) 2))
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(* (pow ux 2) (- (* 2 (/ 1 ux)) 2))
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(* (pow ux 2) (- (* 2 (/ 1 ux)) 2))
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(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
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(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
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(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
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(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
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(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
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(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
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(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
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(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
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(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
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(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
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(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
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(* (pow ux 2) (pow (- maxCos 1) 2))
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(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
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(* ux (- maxCos 1))
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(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* ux (+ maxCos (/ 1 ux)))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* ux (+ maxCos (/ 1 ux)))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* ux (+ maxCos (/ 1 ux)))
(fma.f32 maxCos ux #s(literal 1 binary32))
(* -1 (pow ux 2))
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(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
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(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
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(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
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(* (pow maxCos 2) (* (pow ux 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))))
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(* (pow ux 2) (+ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux)))
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(* (pow ux 2) (+ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux)))
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(* (pow ux 2) (+ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux)))
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(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (- 1 (* 2 (/ 1 ux))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))
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(* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))
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(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos)) (neg.f32 ux))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
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(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
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(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
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(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
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(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
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(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
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(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
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(*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (neg.f32 ux) ux))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux))
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))
(*.f32 (-.f32 (neg.f32 maxCos) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux))
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))
(*.f32 (-.f32 (neg.f32 maxCos) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux))
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))
(*.f32 (-.f32 (neg.f32 maxCos) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux))
(* -1 (pow ux 2))
(*.f32 (neg.f32 ux) ux)
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))
(* (pow maxCos 2) (* (pow ux 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))))
(*.f32 (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow ux 2) (+ (* -1 (/ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2))))) ux)) (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))))
(*.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (*.f32 maxCos maxCos) (/.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (*.f32 maxCos maxCos)) (neg.f32 ux))) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2))))) ux)) (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))))
(*.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (*.f32 maxCos maxCos) (/.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (*.f32 maxCos maxCos)) (neg.f32 ux))) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2))))) ux)) (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))))
(*.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (*.f32 maxCos maxCos) (/.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (*.f32 maxCos maxCos)) (neg.f32 ux))) (*.f32 ux ux))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (- 1 (* 2 (/ 1 ux))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ 1 (* -1 (/ (- 2 (/ 1 ux)) ux))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ 1 (* -1 (/ (- 2 (/ 1 ux)) ux))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))

rewrite172.0ms (1.4%)

Memory
4.3MiB live, 197.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066435
0114371
1471359
23999359
08457355
Stop Event
iter limit
node limit
iter limit
Counts
25 → 419
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) #s(literal 2 binary32))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos ux #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
Outputs
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eval197.0ms (1.6%)

Memory
4.2MiB live, 367.1MiB allocated
Compiler

Compiled 49 629 to 4 833 computations (90.3% saved)

prune118.0ms (1%)

Memory
-13.5MiB live, 315.6MiB allocated
Pruning

68 alts after pruning (64 fresh and 4 done)

PrunedKeptTotal
New1 267391 306
Fresh232548
Picked415
Done033
Total1 294681 362
Accuracy
99.3%
Counts
1 362 → 68
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.0%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 uy (PI.f32))) (cos.f32 (*.f32 uy (PI.f32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
23.2%
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
58.9%
(*.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) uy))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
59.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
57.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
31.5%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
23.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
28.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))))
35.3%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (expm1.f32 (*.f32 (log1p.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))) #s(literal 4 binary32))) (-.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1 binary32)))))
22.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
19.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
59.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
59.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
58.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
57.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
58.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
57.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
57.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
31.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos))))))
56.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(approx (* (- (pow (- 1 maxCos) 2) (/ (- (+ (* maxCos -2) 2) (/ 1 ux)) ux)) (* ux ux)) (*.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux)))))))
91.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
29.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
20.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))))
21.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
57.3%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))
57.3%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))
45.5%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (*.f32 ux #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))
45.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 #s(approx (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux)) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))
57.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 #s(approx (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) (*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)) ux)) (/.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux ux))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))
57.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 #s(approx (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) (*.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 2 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux))) (*.f32 ux ux))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))
18.3%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (*.f32 maxCos maxCos) (/.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (*.f32 maxCos maxCos)) (neg.f32 ux))) (*.f32 ux ux))))))
15.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux)))))
44.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)) ux) (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))))) (*.f32 ux ux))))))
39.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)))))))
0.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
0.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
33.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
75.8%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
49.8%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
49.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 ux (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
20.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
20.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
20.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
20.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 (-.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
32.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 #s(approx (+ (* maxCos ux) (- 1 ux)) #s(literal 1 binary32)) maxCos) ux))))
49.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
49.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
80.2%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
64.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
20.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 maxCos ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
51.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
26.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fma.f32 #s(literal -1 binary32) ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
51.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
51.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
50.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
51.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
51.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
26.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
7.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
62.2%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
76.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))))
11.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (/.f32 (*.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32))) (*.f32 ux ux)) (+.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 2 binary32)))))))
73.8%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (/.f32 (*.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (*.f32 ux ux)) (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))))
80.6%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal 4 binary32) (*.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos))) (-.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos))) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
80.6%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
76.2%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux))))
76.2%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))))))
36.6%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 maxCos maxCos)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (*.f32 ux ux)) (*.f32 maxCos maxCos))))))
Compiler

Compiled 3 862 to 2 711 computations (29.8% saved)

simplify172.0ms (1.4%)

Memory
32.9MiB live, 212.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 uy #s(literal 2 binary32))
cost-diff0
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
cost-diff0
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff0
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux)))))
cost-diff0
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
cost-diff0
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
cost-diff0
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
cost-diff64
(+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32))
cost-diff0
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
cost-diff64
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
cost-diff64
(-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux)))
cost-diff512
(-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
cost-diff0
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
cost-diff0
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
cost-diff0
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
cost-diff96
(fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))
cost-diff0
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
cost-diff0
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff0
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
cost-diff96
(+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0881071
01401018
1298997
2762983
33219974
08177947
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))
#s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))
(+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))
ux
(*.f32 (-.f32 #s(literal 1 binary32) ux) ux)
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))
(fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))
#s(literal -1 binary32)
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux)))
#s(literal 1 binary32)
(*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(-.f32 ux (*.f32 maxCos ux))
ux
(*.f32 maxCos ux)
maxCos
(-.f32 #s(literal 1 binary32) ux)
(*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos)
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))
(*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux)
(+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32))
(*.f32 #s(literal -2 binary32) maxCos)
#s(literal -2 binary32)
maxCos
ux
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(-.f32 maxCos #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 ux ux)
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux)))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux)))
#s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))
(*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux)
(*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos)))
(*.f32 maxCos maxCos)
maxCos
(-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)))
(-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))
(-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32))
(/.f32 #s(literal 2 binary32) maxCos)
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))
ux
(/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))
#s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))
(+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))
(*.f32 (-.f32 #s(literal 2 binary32) ux) ux)
ux
(*.f32 (-.f32 #s(literal 1 binary32) ux) ux)
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))
(fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))
#s(literal -1 binary32)
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (-.f32 ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 ux (*.f32 maxCos ux))
ux
(*.f32 maxCos ux)
maxCos
(-.f32 #s(literal 1 binary32) ux)
(*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos)
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 ux ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 ux ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 ux ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))
(*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(*.f32 (*.f32 ux ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))
(-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux)
(/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(*.f32 #s(literal -2 binary32) maxCos)
#s(literal -2 binary32)
maxCos
ux
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(-.f32 maxCos #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 ux ux)
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux)))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) (-.f32 (-.f32 (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) ux (/.f32 (/.f32 #s(literal 2 binary32) maxCos) maxCos)) (/.f32 (/.f32 ux maxCos) maxCos)) (/.f32 #s(literal 2 binary32) maxCos)))))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) (-.f32 (-.f32 (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) ux (/.f32 (/.f32 #s(literal 2 binary32) maxCos) maxCos)) (/.f32 (/.f32 ux maxCos) maxCos)) (/.f32 #s(literal 2 binary32) maxCos))))))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) (-.f32 (-.f32 (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) ux (/.f32 (/.f32 #s(literal 2 binary32) maxCos) maxCos)) (/.f32 (/.f32 ux maxCos) maxCos)) (/.f32 #s(literal 2 binary32) maxCos)))))
#s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))
#s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) (-.f32 (-.f32 (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) ux (/.f32 (/.f32 #s(literal 2 binary32) maxCos) maxCos)) (/.f32 (/.f32 ux maxCos) maxCos)) (/.f32 #s(literal 2 binary32) maxCos))))
(*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux)
(*.f32 (*.f32 (*.f32 maxCos maxCos) ux) (-.f32 (-.f32 (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) ux (/.f32 (/.f32 #s(literal 2 binary32) maxCos) maxCos)) (/.f32 (/.f32 ux maxCos) maxCos)) (/.f32 #s(literal 2 binary32) maxCos)))
(*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos)))
(*.f32 (-.f32 (-.f32 (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) ux (/.f32 (/.f32 #s(literal 2 binary32) maxCos) maxCos)) (/.f32 (/.f32 ux maxCos) maxCos)) (/.f32 #s(literal 2 binary32) maxCos)) (*.f32 maxCos maxCos))
(*.f32 maxCos maxCos)
maxCos
(-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))
(-.f32 (-.f32 (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) ux (/.f32 (/.f32 #s(literal 2 binary32) maxCos) maxCos)) (/.f32 (/.f32 ux maxCos) maxCos)) (/.f32 #s(literal 2 binary32) maxCos))
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)))
(-.f32 (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) ux (/.f32 (/.f32 #s(literal 2 binary32) maxCos) maxCos)) (/.f32 (/.f32 ux maxCos) maxCos))
(-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))
(-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32))
(/.f32 #s(literal 2 binary32) maxCos)
#s(literal 1 binary32)
(/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))
ux
(/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))
(/.f32 (/.f32 #s(literal 2 binary32) maxCos) maxCos)

localize226.0ms (1.9%)

Memory
6.6MiB live, 280.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.2421875
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.38671875
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux)))))
accuracy4.268839025140085
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)))
accuracy14.103308319311777
(*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos)))
accuracy0.2421875
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
accuracy0.38671875
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
accuracy0.41634750976844204
(*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
accuracy5.95835657786002
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy0.38671875
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
accuracy0.5986694897110539
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
accuracy5.95835657786002
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy12.92389462108905
(-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux)))
accuracy0.38671875
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
accuracy5.95835657786002
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy10.031213111645531
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))
accuracy26.35881552056022
(fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))
accuracy0.19140625
(+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))
accuracy0.2421875
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.38671875
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
accuracy2.4214990192910983
#s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))
Samples
159.0ms248×0valid
7.0ms1valid
Compiler

Compiled 770 to 74 computations (90.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 137.0ms
ival-mult: 63.0ms (45.9% of total)
ival-sub: 35.0ms (25.5% of total)
ival-div: 10.0ms (7.3% of total)
ival-add: 9.0ms (6.6% of total)
ival-sqrt: 7.0ms (5.1% of total)
ival-sinu: 5.0ms (3.6% of total)
ival-pow2: 5.0ms (3.6% of total)
adjust: 1.0ms (0.7% of total)
ival-pi: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series83.0ms (0.7%)

Memory
-44.0MiB live, 121.8MiB allocated
Counts
22 → 504
Calls
Call 1
Inputs
#s(alt (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (patch (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #<representation binary32>) () ())
#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) #<representation binary32>) () ())
#s(alt (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (patch (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) (patch (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (patch #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (patch (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) #<representation binary32>) () ())
#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())
#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #<representation binary32>) () ())
#s(alt (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) (patch (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) #<representation binary32>) () ())
#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))) #<representation binary32>) () ())
#s(alt (*.f32 uy #s(literal 2 binary32)) (patch (*.f32 uy #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (patch #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #<representation binary32>) () ())
#s(alt #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())
#s(alt (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) (patch (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) #<representation binary32>) () ())
#s(alt (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) (patch (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) #<representation binary32>) () ())
#s(alt (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (patch (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) #<representation binary32>) () ())
Outputs
#s(alt (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux))))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux))))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/4 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (* (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2))))) (sqrt (/ 1 (pow (- ux (* -1 (* ux (- 1 ux)))) 3))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux))))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 (pow (- 1 ux) 2))) (taylor 0 maxCos) (#s(alt (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -2 (* maxCos (* ux (- 1 ux)))) (* -1 (pow (- 1 ux) 2)))) (taylor 0 maxCos) (#s(alt (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -1 (pow (- 1 ux) 2)) (* maxCos (+ (* -2 (* ux (- 1 ux))) (* -1 (* maxCos (pow ux 2))))))) (taylor 0 maxCos) (#s(alt (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ (* -1 (pow (- 1 ux) 2)) (* maxCos (+ (* -2 (* ux (- 1 ux))) (* -1 (* maxCos (pow ux 2))))))) (taylor 0 maxCos) (#s(alt (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* -1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (+ 1 (* -1 (pow (- 1 ux) 2))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* -1 (pow (- 1 ux) 2)))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (+ 1 (* -1 (pow (- 1 ux) 2))))))) (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (/ (* (pow ux 2) (pow (- 1 ux) 2)) (+ 1 (* -1 (pow (- 1 ux) 2))))))) (sqrt (/ 1 (+ 1 (* -1 (pow (- 1 ux) 2))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* -1 (pow (- 1 ux) 2)))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (+ 1 (* -1 (pow (- 1 ux) 2))))))) (* maxCos (+ (* 1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- (* -1 (pow ux 2)) (/ (* (pow ux 2) (pow (- 1 ux) 2)) (+ 1 (* -1 (pow (- 1 ux) 2))))))))) (sqrt (/ 1 (pow (+ 1 (* -1 (pow (- 1 ux) 2))) 3))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (/ (* (pow ux 2) (pow (- 1 ux) 2)) (+ 1 (* -1 (pow (- 1 ux) 2)))))) (sqrt (/ 1 (+ 1 (* -1 (pow (- 1 ux) 2))))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* -1 (pow (- 1 ux) 2)))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (- 1 (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (- 1 (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* -1 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* -1 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* -1 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #<representation binary32>) () ())) ())
#s(alt 2 (taylor 0 maxCos) (#s(alt (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) (patch (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -2 maxCos)) (taylor 0 maxCos) (#s(alt (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) (patch (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -2 maxCos)) (taylor 0 maxCos) (#s(alt (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) (patch (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 2 (* -2 maxCos)) (taylor 0 maxCos) (#s(alt (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) (patch (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) #<representation binary32>) () ())) ())
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#s(alt (+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (taylor 0 maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))) #<representation binary32>) () ())) ())
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#s(alt (/ (+ 2 (* -1 ux)) (pow maxCos 2)) (taylor 0 maxCos) (#s(alt (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (patch (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) #<representation binary32>) () ())) ())
#s(alt (/ (+ 2 (+ (* -1 ux) (* 2 (* maxCos ux)))) (pow maxCos 2)) (taylor 0 maxCos) (#s(alt (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (patch (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) #<representation binary32>) () ())) ())
#s(alt (/ (+ 2 (+ (* -1 ux) (* maxCos (+ (* -1 (* maxCos ux)) (* 2 ux))))) (pow maxCos 2)) (taylor 0 maxCos) (#s(alt (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (patch (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) #<representation binary32>) () ())) ())
#s(alt (/ (+ 2 (+ (* -1 ux) (* maxCos (+ (* -1 (* maxCos ux)) (* 2 ux))))) (pow maxCos 2)) (taylor 0 maxCos) (#s(alt (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (patch (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor inf maxCos) (#s(alt (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -2 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2)))) (taylor inf maxCos) (#s(alt (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -2 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (/ (pow (- 1 ux) 2) (pow maxCos 2))) (+ (* -1 (pow ux 2)) (/ 1 (pow maxCos 2)))))) (taylor inf maxCos) (#s(alt (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -2 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (/ (pow (- 1 ux) 2) (pow maxCos 2))) (+ (* -1 (pow ux 2)) (/ 1 (pow maxCos 2)))))) (taylor inf maxCos) (#s(alt (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (pow (- 1 ux) 2))) (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- (+ 1 (* -1 (pow (- 1 ux) 2))) (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (pow (- 1 ux) 2))) (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor inf maxCos) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor inf maxCos) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) (taylor inf maxCos) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))) (taylor inf maxCos) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (* ux (- 1 ux)))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (/ 1 maxCos) (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos)))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (/ 1 maxCos) (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos)))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (/ 1 maxCos) (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos)))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -2 maxCos) (taylor inf maxCos) (#s(alt (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) (patch (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (* 2 (/ 1 maxCos)) 2)) (taylor inf maxCos) (#s(alt (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) (patch (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (* 2 (/ 1 maxCos)) 2)) (taylor inf maxCos) (#s(alt (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) (patch (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (* 2 (/ 1 maxCos)) 2)) (taylor inf maxCos) (#s(alt (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) (patch (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))) (taylor inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))) (taylor inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor inf maxCos) (#s(alt #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (patch #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -1 (/ (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) maxCos)) (pow ux 2))) (taylor inf maxCos) (#s(alt #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (patch #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ ux (pow maxCos 2)) (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (* -1 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2))))))) (taylor inf maxCos) (#s(alt #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (patch #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (/ ux (pow maxCos 2)) (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (* -1 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2))))))) (taylor inf maxCos) (#s(alt #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (patch #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (pow ux 2)) (taylor inf maxCos) (#s(alt #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor inf maxCos) (#s(alt #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))) (taylor inf maxCos) (#s(alt #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))) (taylor inf maxCos) (#s(alt #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor inf maxCos) (#s(alt (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) (patch (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos))) (taylor inf maxCos) (#s(alt (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) (patch (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2))))) (taylor inf maxCos) (#s(alt (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) (patch (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2))))) (taylor inf maxCos) (#s(alt (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) (patch (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) ux)) (taylor inf maxCos) (#s(alt (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) (patch (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (+ (* -1 ux) (* 2 (/ ux maxCos))) (* 2 (/ 1 maxCos)))) (taylor inf maxCos) (#s(alt (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) (patch (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (+ (* -1 ux) (+ (* -1 (/ ux (pow maxCos 2))) (+ (* 2 (/ ux maxCos)) (/ 2 (pow maxCos 2))))) (* 2 (/ 1 maxCos)))) (taylor inf maxCos) (#s(alt (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) (patch (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (+ (* -1 ux) (+ (* -1 (/ ux (pow maxCos 2))) (+ (* 2 (/ ux maxCos)) (/ 2 (pow maxCos 2))))) (* 2 (/ 1 maxCos)))) (taylor inf maxCos) (#s(alt (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) (patch (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor inf maxCos) (#s(alt (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (patch (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 ux) (* 2 (/ ux maxCos))) (taylor inf maxCos) (#s(alt (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (patch (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 ux) (+ (* -1 (/ ux (pow maxCos 2))) (+ (* 2 (/ ux maxCos)) (/ 2 (pow maxCos 2))))) (taylor inf maxCos) (#s(alt (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (patch (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 ux) (+ (* -1 (/ ux (pow maxCos 2))) (+ (* 2 (/ ux maxCos)) (/ 2 (pow maxCos 2))))) (taylor inf maxCos) (#s(alt (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (patch (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* ux (sqrt -1)))) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* ux (sqrt -1))))) maxCos)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor -inf maxCos) (#s(alt (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -2 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2)))) (taylor -inf maxCos) (#s(alt (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (pow (- 1 ux) 2))) maxCos)) (* 2 (* ux (- 1 ux)))) maxCos)) (* -1 (pow ux 2)))) (taylor -inf maxCos) (#s(alt (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (pow (- 1 ux) 2))) maxCos)) (* 2 (* ux (- 1 ux)))) maxCos)) (* -1 (pow ux 2)))) (taylor -inf maxCos) (#s(alt (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (pow (- 1 ux) 2))) (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- (+ 1 (* -1 (pow (- 1 ux) 2))) (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (pow (- 1 ux) 2))) (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (* ux (- 1 ux)))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -1 (* ux (- 1 ux)))))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -1 (* ux (- 1 ux)))))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -1 (* ux (- 1 ux)))))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #<representation binary32>) () ())) ())
#s(alt (* -2 maxCos) (taylor -inf maxCos) (#s(alt (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) (patch (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos))))) (taylor -inf maxCos) (#s(alt (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) (patch (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos))))) (taylor -inf maxCos) (#s(alt (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) (patch (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos))))) (taylor -inf maxCos) (#s(alt (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) (patch (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))) (taylor -inf maxCos) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor -inf maxCos) (#s(alt #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (patch #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #<representation binary32>) () ())) ())
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#s(alt (* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- ux (* -1 (* ux (- 1 ux)))) maxCos)) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (patch #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #<representation binary32>) () ())) ())
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#s(alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2)))) (taylor -inf maxCos) (#s(alt (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) (patch (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2)))) (taylor -inf maxCos) (#s(alt (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) (patch (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) ux)) (taylor -inf maxCos) (#s(alt (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) (patch (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) #<representation binary32>) () ())) ())
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#s(alt (* -1 ux) (taylor -inf maxCos) (#s(alt (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (patch (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) #<representation binary32>) () ())) ())
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#s(alt (* 2 (* (* uy (PI)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (taylor 0 uy) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) #<representation binary32>) () ())) ())
#s(alt (* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* 2 (* (PI) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))))) (taylor 0 uy) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) #<representation binary32>) () ())) ())
#s(alt (* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))))))) (taylor 0 uy) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) #<representation binary32>) () ())) ())
#s(alt (* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))))))))) (taylor 0 uy) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) #<representation binary32>) () ())) ())
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#s(alt (+ (* (sqrt (* ux (- (* 2 maxCos) 2))) (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- (* 2 maxCos) 2)))) (/ (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)) (sqrt -1)))) (* -1/8 (* (sqrt (/ ux (pow (- (* 2 maxCos) 2) 3))) (/ (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)) (pow (sqrt -1) 3))))))) (taylor 0 ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt (* ux (- (* 2 maxCos) 2))) (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- (* 2 maxCos) 2)))) (/ (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)) (sqrt -1)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- (* 2 maxCos) 2) 3)))) (/ (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)) (pow (sqrt -1) 3)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- (* 2 maxCos) 2) 5)))) (/ (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)) (pow (sqrt -1) 5))))))))) (taylor 0 ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
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#s(alt (* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos))) (taylor 0 ux) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) #<representation binary32>) () ())) ())
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#s(alt (* ux (- (+ 2 (* ux (- maxCos 1))) maxCos)) (taylor 0 ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ 2 (* ux (- maxCos 1))) maxCos)) (taylor 0 ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ 2 (* ux (- maxCos 1))) maxCos)) (taylor 0 ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 ux) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (- maxCos 1))) (taylor 0 ux) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
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#s(alt (+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2))))))) (taylor 0 ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))))))) (taylor 0 ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (taylor 0 ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))) (taylor 0 ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) #<representation binary32>) () ())) ())
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#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (patch (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #<representation binary32>) () ())) ())
#s(alt (* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 2) (pow (- maxCos 1) 2))) (taylor inf ux) (#s(alt (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* -1 (/ (- (* 2 maxCos) 2) ux)) (* -1 (pow (- maxCos 1) 2)))) (taylor inf ux) (#s(alt (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* -1 (/ (- (* 2 maxCos) 2) ux)) (* -1 (pow (- maxCos 1) 2)))) (taylor inf ux) (#s(alt (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* -1 (/ (- (* 2 maxCos) 2) ux)) (* -1 (pow (- maxCos 1) 2)))) (taylor inf ux) (#s(alt (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* 2 maxCos) 2)) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* 2 maxCos) 2)) (* ux (* (sqrt -1) (- maxCos 1))))) (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- (* 2 maxCos) 2) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* 2 maxCos) 2)) (* ux (* (sqrt -1) (- maxCos 1))))) (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- (* 2 maxCos) 2) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* -1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- (* 2 maxCos) 2) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))) (taylor inf ux) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1)))))) (taylor inf ux) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1)))))) (taylor inf ux) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1)))))) (taylor inf ux) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- maxCos 1)) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (/ maxCos ux)))) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (/ maxCos ux)))) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (/ maxCos ux)))) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (patch (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) #<representation binary32>) () ())) ())
#s(alt (* ux (- maxCos 1)) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) #<representation binary32>) () ())) ())
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#s(alt (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))) (taylor inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) #<representation binary32>) () ())) ())
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#s(alt (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))) (taylor inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))) (taylor inf ux) (#s(alt #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (patch #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #<representation binary32>) () ())) ())
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#s(alt (* -1 (* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) (taylor -inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3)))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) (taylor -inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))) (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 5)))))) ux)) (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) (taylor -inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) #<representation binary32>) () ())) ())
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#s(alt (* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (+ 1 (* -1 maxCos)) 2)) (* 2 (/ 1 ux))))) (taylor -inf ux) (#s(alt (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)) (patch (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (taylor -inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))) (taylor -inf ux) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))) (taylor -inf ux) (#s(alt (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) #<representation binary32>) () ())) ())
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#s(alt (* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) (patch (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) #<representation binary32>) () ())) ())
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#s(alt (* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (taylor -inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))) (taylor -inf ux) (#s(alt (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))) (patch (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))) (taylor -inf ux) (#s(alt #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (patch #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))) (taylor -inf ux) (#s(alt #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (patch #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))) (taylor -inf ux) (#s(alt #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (patch #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))) (taylor -inf ux) (#s(alt #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (patch #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)) (taylor -inf ux) (#s(alt #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2))) (taylor -inf ux) (#s(alt #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 2) (pow (- maxCos 1) 2))) (taylor -inf ux) (#s(alt (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) (patch (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))) (taylor -inf ux) (#s(alt (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) (patch (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))) (taylor -inf ux) (#s(alt (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) (patch (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))) (taylor -inf ux) (#s(alt (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) (patch (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (taylor -inf ux) (#s(alt (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) (patch (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* -1 (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (* -1 (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux))))) (taylor -inf ux) (#s(alt (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) (patch (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* -1 (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (* -1 (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux))))) (taylor -inf ux) (#s(alt (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) (patch (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ (* -1 (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (* -1 (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux))))) (taylor -inf ux) (#s(alt (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) (patch (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (taylor -inf ux) (#s(alt (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (patch (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (* -1 (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (* 2 (/ 1 (* (pow maxCos 2) ux)))))) (taylor -inf ux) (#s(alt (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (patch (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (* -1 (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (* 2 (/ 1 (* (pow maxCos 2) ux)))))) (taylor -inf ux) (#s(alt (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (patch (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (* -1 (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (* 2 (/ 1 (* (pow maxCos 2) ux)))))) (taylor -inf ux) (#s(alt (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (patch (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) #<representation binary32>) () ())) ())
Calls

9 calls:

TimeVariablePointExpression
6.0ms
ux
@0
((+ ux (* (- 1 ux) ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (+ (* -1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) 1) (* (sin (* (* uy 2) (PI))) (sqrt (+ (* -1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) 1))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (- (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (- 1 (- ux (* maxCos ux))) (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (+ (* -2 maxCos) 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* uy 2) (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* maxCos ux) (- 1 ux)) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (* (* maxCos maxCos) (- (+ (* (- (- (/ 2 maxCos) 1) (/ 1 (* maxCos maxCos))) ux) (/ 2 (* maxCos maxCos))) (/ 2 maxCos))) (+ (* (- (- (/ 2 maxCos) 1) (/ 1 (* maxCos maxCos))) ux) (/ 2 (* maxCos maxCos))))
5.0ms
maxCos
@0
((+ ux (* (- 1 ux) ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (+ (* -1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) 1) (* (sin (* (* uy 2) (PI))) (sqrt (+ (* -1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) 1))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (- (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (- 1 (- ux (* maxCos ux))) (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (+ (* -2 maxCos) 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* uy 2) (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* maxCos ux) (- 1 ux)) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (* (* maxCos maxCos) (- (+ (* (- (- (/ 2 maxCos) 1) (/ 1 (* maxCos maxCos))) ux) (/ 2 (* maxCos maxCos))) (/ 2 maxCos))) (+ (* (- (- (/ 2 maxCos) 1) (/ 1 (* maxCos maxCos))) ux) (/ 2 (* maxCos maxCos))))
4.0ms
ux
@inf
((+ ux (* (- 1 ux) ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (+ (* -1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) 1) (* (sin (* (* uy 2) (PI))) (sqrt (+ (* -1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) 1))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (- (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (- 1 (- ux (* maxCos ux))) (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (+ (* -2 maxCos) 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* uy 2) (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* maxCos ux) (- 1 ux)) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (* (* maxCos maxCos) (- (+ (* (- (- (/ 2 maxCos) 1) (/ 1 (* maxCos maxCos))) ux) (/ 2 (* maxCos maxCos))) (/ 2 maxCos))) (+ (* (- (- (/ 2 maxCos) 1) (/ 1 (* maxCos maxCos))) ux) (/ 2 (* maxCos maxCos))))
4.0ms
ux
@-inf
((+ ux (* (- 1 ux) ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (+ (* -1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) 1) (* (sin (* (* uy 2) (PI))) (sqrt (+ (* -1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) 1))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (- (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (- 1 (- ux (* maxCos ux))) (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (+ (* -2 maxCos) 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* uy 2) (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* maxCos ux) (- 1 ux)) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (* (* maxCos maxCos) (- (+ (* (- (- (/ 2 maxCos) 1) (/ 1 (* maxCos maxCos))) ux) (/ 2 (* maxCos maxCos))) (/ 2 maxCos))) (+ (* (- (- (/ 2 maxCos) 1) (/ 1 (* maxCos maxCos))) ux) (/ 2 (* maxCos maxCos))))
3.0ms
uy
@inf
((+ ux (* (- 1 ux) ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (+ (* -1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) 1) (* (sin (* (* uy 2) (PI))) (sqrt (+ (* -1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) 1))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (- (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (- 1 (- ux (* maxCos ux))) (* (sin (* (* uy 2) (PI))) (sqrt (- (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (+ (* -2 maxCos) 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* uy 2) (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* maxCos ux) (- 1 ux)) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (* (* maxCos maxCos) (- (+ (* (- (- (/ 2 maxCos) 1) (/ 1 (* maxCos maxCos))) ux) (/ 2 (* maxCos maxCos))) (/ 2 maxCos))) (+ (* (- (- (/ 2 maxCos) 1) (/ 1 (* maxCos maxCos))) ux) (/ 2 (* maxCos maxCos))))

simplify233.0ms (1.9%)

Memory
45.3MiB live, 267.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107815476
1372313728
0813313166
Stop Event
iter limit
node limit
Counts
504 → 504
Calls
Call 1
Inputs
(* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux))))))
(+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(+ (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/4 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (* (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2))))) (sqrt (/ 1 (pow (- ux (* -1 (* ux (- 1 ux)))) 3))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(+ 1 (* -1 (pow (- 1 ux) 2)))
(+ 1 (+ (* -2 (* maxCos (* ux (- 1 ux)))) (* -1 (pow (- 1 ux) 2))))
(+ 1 (+ (* -1 (pow (- 1 ux) 2)) (* maxCos (+ (* -2 (* ux (- 1 ux))) (* -1 (* maxCos (pow ux 2)))))))
(+ 1 (+ (* -1 (pow (- 1 ux) 2)) (* maxCos (+ (* -2 (* ux (- 1 ux))) (* -1 (* maxCos (pow ux 2)))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* -1 (pow (- 1 ux) 2)))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (+ 1 (* -1 (pow (- 1 ux) 2))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* -1 (pow (- 1 ux) 2))))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (+ 1 (* -1 (pow (- 1 ux) 2))))))) (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (/ (* (pow ux 2) (pow (- 1 ux) 2)) (+ 1 (* -1 (pow (- 1 ux) 2))))))) (sqrt (/ 1 (+ 1 (* -1 (pow (- 1 ux) 2))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* -1 (pow (- 1 ux) 2))))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (+ 1 (* -1 (pow (- 1 ux) 2))))))) (* maxCos (+ (* 1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- (* -1 (pow ux 2)) (/ (* (pow ux 2) (pow (- 1 ux) 2)) (+ 1 (* -1 (pow (- 1 ux) 2))))))))) (sqrt (/ 1 (pow (+ 1 (* -1 (pow (- 1 ux) 2))) 3))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (/ (* (pow ux 2) (pow (- 1 ux) 2)) (+ 1 (* -1 (pow (- 1 ux) 2)))))) (sqrt (/ 1 (+ 1 (* -1 (pow (- 1 ux) 2))))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* -1 (pow (- 1 ux) 2))))))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -1 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* -1 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* -1 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
2
(+ 2 (* -2 maxCos))
(+ 2 (* -2 maxCos))
(+ 2 (* -2 maxCos))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(- ux (* -1 (* ux (- 1 ux))))
(- (+ ux (* -1 (* maxCos (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))))) (* -1 (* ux (- 1 ux))))
(- (+ ux (* maxCos (- (* -1 (* maxCos (pow ux 2))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))))) (* -1 (* ux (- 1 ux))))
(- (+ ux (* maxCos (- (* -1 (* maxCos (pow ux 2))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))))) (* -1 (* ux (- 1 ux))))
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(+ 2 (* -1 ux))
(+ 2 (+ (* -1 ux) (* maxCos (- (* 2 ux) 2))))
(+ 2 (+ (* -1 ux) (* maxCos (- (+ (* -1 (* maxCos ux)) (* 2 ux)) 2))))
(+ 2 (+ (* -1 ux) (* maxCos (- (+ (* -1 (* maxCos ux)) (* 2 ux)) 2))))
(/ (+ 2 (* -1 ux)) (pow maxCos 2))
(/ (+ 2 (+ (* -1 ux) (* 2 (* maxCos ux)))) (pow maxCos 2))
(/ (+ 2 (+ (* -1 ux) (* maxCos (+ (* -1 (* maxCos ux)) (* 2 ux))))) (pow maxCos 2))
(/ (+ 2 (+ (* -1 ux) (* maxCos (+ (* -1 (* maxCos ux)) (* 2 ux))))) (pow maxCos 2))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (/ (pow (- 1 ux) 2) (pow maxCos 2))) (+ (* -1 (pow ux 2)) (/ 1 (pow maxCos 2))))))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (/ (pow (- 1 ux) 2) (pow maxCos 2))) (+ (* -1 (pow ux 2)) (/ 1 (pow maxCos 2))))))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (pow (- 1 ux) 2))) (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- (+ 1 (* -1 (pow (- 1 ux) 2))) (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (pow (- 1 ux) 2))) (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* -1 (* maxCos (* ux (- 1 ux))))
(* maxCos (- (/ 1 maxCos) (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos))))
(* maxCos (- (/ 1 maxCos) (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos))))
(* maxCos (- (/ 1 maxCos) (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -2 maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ ux (pow maxCos 2)) (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (* -1 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))))))
(* (pow maxCos 2) (- (/ ux (pow maxCos 2)) (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (* -1 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(* -1 (* (pow maxCos 2) ux))
(* (pow maxCos 2) (- (+ (* -1 ux) (* 2 (/ ux maxCos))) (* 2 (/ 1 maxCos))))
(* (pow maxCos 2) (- (+ (* -1 ux) (+ (* -1 (/ ux (pow maxCos 2))) (+ (* 2 (/ ux maxCos)) (/ 2 (pow maxCos 2))))) (* 2 (/ 1 maxCos))))
(* (pow maxCos 2) (- (+ (* -1 ux) (+ (* -1 (/ ux (pow maxCos 2))) (+ (* 2 (/ ux maxCos)) (/ 2 (pow maxCos 2))))) (* 2 (/ 1 maxCos))))
(* -1 ux)
(+ (* -1 ux) (* 2 (/ ux maxCos)))
(+ (* -1 ux) (+ (* -1 (/ ux (pow maxCos 2))) (+ (* 2 (/ ux maxCos)) (/ 2 (pow maxCos 2)))))
(+ (* -1 ux) (+ (* -1 (/ ux (pow maxCos 2))) (+ (* 2 (/ ux maxCos)) (/ 2 (pow maxCos 2)))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* ux (sqrt -1)))) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* ux (sqrt -1))))) maxCos)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (pow (- 1 ux) 2))) maxCos)) (* 2 (* ux (- 1 ux)))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (pow (- 1 ux) 2))) maxCos)) (* 2 (* ux (- 1 ux)))) maxCos)) (* -1 (pow ux 2))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (pow (- 1 ux) 2))) (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- (+ 1 (* -1 (pow (- 1 ux) 2))) (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (pow (- 1 ux) 2))) (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (* ux (- 1 ux))))
(* -1 (* maxCos (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -1 (* ux (- 1 ux))))))
(* -1 (* maxCos (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -1 (* ux (- 1 ux))))))
(* -1 (* maxCos (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -1 (* ux (- 1 ux))))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -2 maxCos)
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (+ (* -1 (/ ux maxCos)) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (/ (pow ux 2) maxCos))) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- ux (* -1 (* ux (- 1 ux)))) maxCos)) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- ux (* -1 (* ux (- 1 ux)))) maxCos)) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2))))
(* -1 (* (pow maxCos 2) ux))
(* (pow maxCos 2) (+ (* -1 ux) (* -1 (/ (+ 2 (* -2 ux)) maxCos))))
(* (pow maxCos 2) (+ (* -1 ux) (* -1 (/ (+ 2 (+ (* -2 ux) (* -1 (/ (+ 2 (* -1 ux)) maxCos)))) maxCos))))
(* (pow maxCos 2) (+ (* -1 ux) (* -1 (/ (+ 2 (+ (* -2 ux) (* -1 (/ (+ 2 (* -1 ux)) maxCos)))) maxCos))))
(* -1 ux)
(+ (* -1 ux) (* 2 (/ ux maxCos)))
(+ (* -1 ux) (* -1 (/ (+ (* -2 ux) (* -1 (/ (+ 2 (* -1 ux)) maxCos))) maxCos)))
(+ (* -1 ux) (* -1 (/ (+ (* -2 ux) (* -1 (/ (+ 2 (* -1 ux)) maxCos))) maxCos)))
(* 2 (* (* uy (PI)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* 2 (* (PI) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* (* uy (PI)) (sqrt (+ 1 (* -1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (+ 1 (* -1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) (* 2 (* (PI) (sqrt (+ 1 (* -1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))
(* uy (+ (* 2 (* (PI) (sqrt (+ 1 (* -1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (+ 1 (* -1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (+ 1 (* -1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (+ 1 (* -1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (+ 1 (* -1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (+ 1 (* -1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) (* 4/15 (* (pow (PI) 5) (sqrt (+ 1 (* -1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* (* uy (PI)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 uy)
(* 2 uy)
(* 2 uy)
(* 2 uy)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* -1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* -1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* -1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* -1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* 2 uy)
(* 2 uy)
(* 2 uy)
(* 2 uy)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* -1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* -1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* -1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* -1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
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(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* 2 uy)
(* 2 uy)
(* 2 uy)
(* 2 uy)
(* 2 ux)
(* ux (+ 2 (* -1 ux)))
(* ux (+ 2 (* -1 ux)))
(* ux (+ 2 (* -1 ux)))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))
(* -1 (* ux (- (* 2 maxCos) 2)))
(* ux (+ (* -1 (* ux (pow (- maxCos 1) 2))) (* -1 (- (* 2 maxCos) 2))))
(* ux (+ (* -1 (* ux (pow (- maxCos 1) 2))) (* -1 (- (* 2 maxCos) 2))))
(* ux (+ (* -1 (* ux (pow (- maxCos 1) 2))) (* -1 (- (* 2 maxCos) 2))))
(* (sqrt (* ux (- (* 2 maxCos) 2))) (* (sin (* 2 (* uy (PI)))) (sqrt -1)))
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(+ (* (sqrt (* ux (- (* 2 maxCos) 2))) (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- (* 2 maxCos) 2)))) (/ (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)) (sqrt -1)))) (* -1/8 (* (sqrt (/ ux (pow (- (* 2 maxCos) 2) 3))) (/ (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)) (pow (sqrt -1) 3)))))))
(+ (* (sqrt (* ux (- (* 2 maxCos) 2))) (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- (* 2 maxCos) 2)))) (/ (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)) (sqrt -1)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- (* 2 maxCos) 2) 3)))) (/ (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)) (pow (sqrt -1) 3)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- (* 2 maxCos) 2) 5)))) (/ (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)) (pow (sqrt -1) 5)))))))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(* ux (- 2 maxCos))
(* ux (- (+ 2 (* ux (- maxCos 1))) maxCos))
(* ux (- (+ 2 (* ux (- maxCos 1))) maxCos))
(* ux (- (+ 2 (* ux (- maxCos 1))) maxCos))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
1
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (+ 2 (* -2 maxCos)))
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))
(+ (* (pow maxCos 2) (* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))))
(+ (* (pow maxCos 2) (* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))))
(+ (* (pow maxCos 2) (* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))))
(/ 2 (pow maxCos 2))
(+ (* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (* 2 (/ 1 (pow maxCos 2))))
(+ (* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (* 2 (/ 1 (pow maxCos 2))))
(+ (* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (* 2 (/ 1 (pow maxCos 2))))
(* -1 (pow ux 2))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (* 2 maxCos) 2) ux)) (* -1 (pow (- maxCos 1) 2))))
(* (pow ux 2) (+ (* -1 (/ (- (* 2 maxCos) 2) ux)) (* -1 (pow (- maxCos 1) 2))))
(* (pow ux 2) (+ (* -1 (/ (- (* 2 maxCos) 2) ux)) (* -1 (pow (- maxCos 1) 2))))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* 2 maxCos) 2)) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* 2 maxCos) 2)) (* ux (* (sqrt -1) (- maxCos 1))))) (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- (* 2 maxCos) 2) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* 2 maxCos) 2)) (* ux (* (sqrt -1) (- maxCos 1))))) (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- (* 2 maxCos) 2) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* -1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- (* 2 maxCos) 2) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* -1 (* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(* (pow ux 2) (- maxCos 1))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (/ maxCos ux))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (/ maxCos ux))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (/ maxCos ux))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* -1 (* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* (pow maxCos 2) (* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))))
(* ux (+ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux)))
(* ux (+ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux)))
(* ux (+ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux)))
(* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))
(* ux (- (+ (* 2 (/ 1 maxCos)) (* 2 (/ 1 (* (pow maxCos 2) ux)))) (+ 1 (/ 1 (pow maxCos 2)))))
(* ux (- (+ (* 2 (/ 1 maxCos)) (* 2 (/ 1 (* (pow maxCos 2) ux)))) (+ 1 (/ 1 (pow maxCos 2)))))
(* ux (- (+ (* 2 (/ 1 maxCos)) (* 2 (/ 1 (* (pow maxCos 2) ux)))) (+ 1 (/ 1 (pow maxCos 2)))))
(* -1 (pow ux 2))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))
(* -1 (* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3)))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))) (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 5)))))) ux)) (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (+ 1 (* -1 maxCos)) 2)) (* 2 (/ 1 ux)))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (+ 1 (* -1 maxCos)) 2)) (* 2 (/ 1 ux)))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (+ 1 (* -1 maxCos)) 2)) (* 2 (/ 1 ux)))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* -1 (* (pow ux 2) (+ 1 (* -1 maxCos))))
(* (pow ux 2) (- (+ (* -1 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (* -1 maxCos))))
(* (pow ux 2) (- (+ (* -1 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (* -1 maxCos))))
(* (pow ux 2) (- (+ (* -1 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (* -1 maxCos))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))
(* -1 (* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3)))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))) (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 5)))))) ux)) (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* (pow maxCos 2) (* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))))
(* -1 (* ux (+ (* -1 (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (* -1 (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux)))))
(* -1 (* ux (+ (* -1 (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (* -1 (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux)))))
(* -1 (* ux (+ (* -1 (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (* -1 (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux)))))
(* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))
(* -1 (* ux (- (* -1 (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (* 2 (/ 1 (* (pow maxCos 2) ux))))))
(* -1 (* ux (- (* -1 (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (* 2 (/ 1 (* (pow maxCos 2) ux))))))
(* -1 (* ux (- (* -1 (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (* 2 (/ 1 (* (pow maxCos 2) ux))))))
Outputs
(* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux))))))
(*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))) (*.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) maxCos)) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))) (fma.f32 (*.f32 maxCos (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (fma.f32 (/.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #s(literal 1/4 binary32) (*.f32 ux ux)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))) maxCos (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/4 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (* (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) (+ (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2))))) (sqrt (/ 1 (pow (- ux (* -1 (* ux (- 1 ux)))) 3))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 (/.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #s(literal 1/4 binary32) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))) (*.f32 (*.f32 maxCos (*.f32 (*.f32 (*.f32 (fma.f32 (/.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #s(literal 1/4 binary32) (*.f32 ux ux)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 3 binary32)))))) #s(literal -1/4 binary32))) maxCos (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))) maxCos (*.f32 (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ 1 (* -1 (pow (- 1 ux) 2)))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ 1 (+ (* -2 (* maxCos (* ux (- 1 ux)))) (* -1 (pow (- 1 ux) 2))))
(-.f32 (fma.f32 (*.f32 maxCos (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal -2 binary32) #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ 1 (+ (* -1 (pow (- 1 ux) 2)) (* maxCos (+ (* -2 (* ux (- 1 ux))) (* -1 (* maxCos (pow ux 2)))))))
(-.f32 (fma.f32 (-.f32 (*.f32 #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (*.f32 ux ux) maxCos)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ 1 (+ (* -1 (pow (- 1 ux) 2)) (* maxCos (+ (* -2 (* ux (- 1 ux))) (* -1 (* maxCos (pow ux 2)))))))
(-.f32 (fma.f32 (-.f32 (*.f32 #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (*.f32 ux ux) maxCos)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* -1 (pow (- 1 ux) 2)))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (+ 1 (* -1 (pow (- 1 ux) 2))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* -1 (pow (- 1 ux) 2))))))
(-.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 maxCos ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (+ 1 (* -1 (pow (- 1 ux) 2))))))) (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (/ (* (pow ux 2) (pow (- 1 ux) 2)) (+ 1 (* -1 (pow (- 1 ux) 2))))))) (sqrt (/ 1 (+ 1 (* -1 (pow (- 1 ux) 2))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* -1 (pow (- 1 ux) 2))))))
(fma.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (*.f32 (fma.f32 (neg.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 maxCos (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (neg.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux))))) #s(literal 1/2 binary32))) maxCos))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (+ 1 (* -1 (pow (- 1 ux) 2))))))) (* maxCos (+ (* 1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- (* -1 (pow ux 2)) (/ (* (pow ux 2) (pow (- 1 ux) 2)) (+ 1 (* -1 (pow (- 1 ux) 2))))))))) (sqrt (/ 1 (pow (+ 1 (* -1 (pow (- 1 ux) 2))) 3))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (/ (* (pow ux 2) (pow (- 1 ux) 2)) (+ 1 (* -1 (pow (- 1 ux) 2)))))) (sqrt (/ 1 (+ 1 (* -1 (pow (- 1 ux) 2))))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* -1 (pow (- 1 ux) 2))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 (*.f32 maxCos ux) (*.f32 (*.f32 (neg.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (neg.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))) maxCos (*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(- 1 (pow (- 1 ux) 2))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (*.f32 maxCos (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal -2 binary32) #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (-.f32 (*.f32 #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (*.f32 ux ux) maxCos)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (-.f32 (*.f32 #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (*.f32 ux ux) maxCos)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- 1 (pow (- 1 ux) 2))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* -1 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(-.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* -1 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(-.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* -1 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(-.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(-.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 maxCos ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (neg.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 maxCos (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))) #s(literal -1/2 binary32))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 (*.f32 maxCos ux) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
2
#s(literal 2 binary32)
(+ 2 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(+ 2 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(+ 2 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(-.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 maxCos ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (neg.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 maxCos (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))) #s(literal -1/2 binary32))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 (*.f32 maxCos ux) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(-.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 maxCos ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (neg.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (*.f32 maxCos (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))) #s(literal -1/2 binary32))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 (*.f32 maxCos ux) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (*.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(- ux (* -1 (* ux (- 1 ux))))
(+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))
(- (+ ux (* -1 (* maxCos (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))))) (* -1 (* ux (- 1 ux))))
(+.f32 (-.f32 ux (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))
(- (+ ux (* maxCos (- (* -1 (* maxCos (pow ux 2))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))))) (* -1 (* ux (- 1 ux))))
(+.f32 (fma.f32 (neg.f32 (fma.f32 (*.f32 ux ux) maxCos (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))) maxCos ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))
(- (+ ux (* maxCos (- (* -1 (* maxCos (pow ux 2))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))))) (* -1 (* ux (- 1 ux))))
(+.f32 (fma.f32 (neg.f32 (fma.f32 (*.f32 ux ux) maxCos (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))) maxCos ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))
(pow (- 1 ux) 2)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 maxCos (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(fma.f32 (fma.f32 (*.f32 ux ux) maxCos (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(fma.f32 (fma.f32 (*.f32 ux ux) maxCos (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))
(+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(fma.f32 (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux)) (*.f32 (*.f32 ux ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(fma.f32 (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux)) (*.f32 (*.f32 ux ux) maxCos)) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux)))
(+ 2 (* -1 ux))
(-.f32 #s(literal 2 binary32) ux)
(+ 2 (+ (* -1 ux) (* maxCos (- (* 2 ux) 2))))
(+.f32 (-.f32 (*.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal -2 binary32)) maxCos) ux) #s(literal 2 binary32))
(+ 2 (+ (* -1 ux) (* maxCos (- (+ (* -1 (* maxCos ux)) (* 2 ux)) 2))))
(+.f32 (-.f32 (*.f32 (fma.f32 (-.f32 #s(literal 2 binary32) maxCos) ux #s(literal -2 binary32)) maxCos) ux) #s(literal 2 binary32))
(+ 2 (+ (* -1 ux) (* maxCos (- (+ (* -1 (* maxCos ux)) (* 2 ux)) 2))))
(+.f32 (-.f32 (*.f32 (fma.f32 (-.f32 #s(literal 2 binary32) maxCos) ux #s(literal -2 binary32)) maxCos) ux) #s(literal 2 binary32))
(/ (+ 2 (* -1 ux)) (pow maxCos 2))
(/.f32 (-.f32 #s(literal 2 binary32) ux) (*.f32 maxCos maxCos))
(/ (+ 2 (+ (* -1 ux) (* 2 (* maxCos ux)))) (pow maxCos 2))
(/.f32 (+.f32 (-.f32 (*.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))
(/ (+ 2 (+ (* -1 ux) (* maxCos (+ (* -1 (* maxCos ux)) (* 2 ux))))) (pow maxCos 2))
(/.f32 (+.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) maxCos) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))
(/ (+ 2 (+ (* -1 ux) (* maxCos (+ (* -1 (* maxCos ux)) (* 2 ux))))) (pow maxCos 2))
(/.f32 (+.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) maxCos) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 maxCos ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 maxCos ux)) (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)) maxCos)
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) maxCos) (fma.f32 (*.f32 ux (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 (*.f32 (-.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32)))) maxCos)
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux))))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) maxCos) (fma.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 (*.f32 (*.f32 (-.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (pow.f32 ux #s(literal 3 binary32)))) (fma.f32 (*.f32 ux (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 (*.f32 (-.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32))))) maxCos)
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2))))
(*.f32 (fma.f32 (neg.f32 ux) ux (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (/ (pow (- 1 ux) 2) (pow maxCos 2))) (+ (* -1 (pow ux 2)) (/ 1 (pow maxCos 2))))))
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (-.f32 (fma.f32 (neg.f32 ux) ux (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos)))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (/ (pow (- 1 ux) 2) (pow maxCos 2))) (+ (* -1 (pow ux 2)) (/ 1 (pow maxCos 2))))))
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (-.f32 (fma.f32 (neg.f32 ux) ux (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos)))) (*.f32 maxCos maxCos))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 maxCos ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (pow (- 1 ux) 2))) (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- (+ 1 (* -1 (pow (- 1 ux) 2))) (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (pow (- 1 ux) 2))) (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (fma.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) (*.f32 ux ux))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 (neg.f32 ux) ux (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(* -1 (* maxCos (* ux (- 1 ux))))
(*.f32 (neg.f32 maxCos) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))
(* maxCos (- (/ 1 maxCos) (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) maxCos) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos))) maxCos)
(* maxCos (- (/ 1 maxCos) (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) maxCos) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos))) maxCos)
(* maxCos (- (/ 1 maxCos) (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) maxCos) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos))) maxCos)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 maxCos ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (fma.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) (*.f32 ux ux))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)
(* -2 maxCos)
(*.f32 #s(literal -2 binary32) maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 maxCos ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (fma.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) (*.f32 ux ux))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 maxCos ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (neg.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (fma.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) (*.f32 ux ux))) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (- (* -1 (/ (+ ux (+ (* -1 (pow ux 2)) (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ ux (pow maxCos 2)) (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (* -1 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))))))
(*.f32 (-.f32 (/.f32 ux (*.f32 maxCos maxCos)) (fma.f32 (/.f32 (neg.f32 ux) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ ux (pow maxCos 2)) (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (* -1 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))))))
(*.f32 (-.f32 (/.f32 ux (*.f32 maxCos maxCos)) (fma.f32 (/.f32 (neg.f32 ux) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (-.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 ux maxCos)) (/.f32 (*.f32 ux ux) maxCos)))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos)))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos)))) (*.f32 maxCos maxCos))
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)))
(*.f32 (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos) #s(literal -1 binary32))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(*.f32 (-.f32 (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 maxCos maxCos)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(*.f32 (-.f32 (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 maxCos maxCos)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* -1 (* (pow maxCos 2) ux))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) ux)
(* (pow maxCos 2) (- (+ (* -1 ux) (* 2 (/ ux maxCos))) (* 2 (/ 1 maxCos))))
(*.f32 (-.f32 (-.f32 (*.f32 (/.f32 ux maxCos) #s(literal 2 binary32)) ux) (/.f32 #s(literal 2 binary32) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (+ (* -1 ux) (+ (* -1 (/ ux (pow maxCos 2))) (+ (* 2 (/ ux maxCos)) (/ 2 (pow maxCos 2))))) (* 2 (/ 1 maxCos))))
(*.f32 (-.f32 (-.f32 (-.f32 (fma.f32 (/.f32 ux maxCos) #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 ux (*.f32 maxCos maxCos))) ux) (/.f32 #s(literal 2 binary32) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (+ (* -1 ux) (+ (* -1 (/ ux (pow maxCos 2))) (+ (* 2 (/ ux maxCos)) (/ 2 (pow maxCos 2))))) (* 2 (/ 1 maxCos))))
(*.f32 (-.f32 (-.f32 (-.f32 (fma.f32 (/.f32 ux maxCos) #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 ux (*.f32 maxCos maxCos))) ux) (/.f32 #s(literal 2 binary32) maxCos)) (*.f32 maxCos maxCos))
(* -1 ux)
(neg.f32 ux)
(+ (* -1 ux) (* 2 (/ ux maxCos)))
(-.f32 (*.f32 (/.f32 ux maxCos) #s(literal 2 binary32)) ux)
(+ (* -1 ux) (+ (* -1 (/ ux (pow maxCos 2))) (+ (* 2 (/ ux maxCos)) (/ 2 (pow maxCos 2)))))
(-.f32 (-.f32 (fma.f32 (/.f32 ux maxCos) #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 ux (*.f32 maxCos maxCos))) ux)
(+ (* -1 ux) (+ (* -1 (/ ux (pow maxCos 2))) (+ (* 2 (/ ux maxCos)) (/ 2 (pow maxCos 2)))))
(-.f32 (-.f32 (fma.f32 (/.f32 ux maxCos) #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 ux (*.f32 maxCos maxCos))) ux)
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 ux) maxCos) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* -1 (* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos ux)) (/.f32 (*.f32 (-.f32 (-.f32 (*.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* ux (sqrt -1)))) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (+.f32 (/.f32 (-.f32 (-.f32 (*.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (-.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 (*.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) #s(literal 2 binary32)) (*.f32 ux ux)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos))))) maxCos)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* ux (sqrt -1))))) maxCos)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 ux (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (-.f32 (*.f32 (/.f32 #s(literal -1/2 binary32) ux) (/.f32 (*.f32 (-.f32 (-.f32 (*.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (fma.f32 (/.f32 #s(literal -1/4 binary32) maxCos) (/.f32 (*.f32 (*.f32 (-.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 (*.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) #s(literal 2 binary32)) (*.f32 ux ux)))) (-.f32 (-.f32 (*.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (*.f32 (/.f32 (-.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (-.f32 (*.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) #s(literal 2 binary32)) (*.f32 ux ux)))) ux) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32))) maxCos)) (neg.f32 maxCos))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2))))
(*.f32 (fma.f32 (neg.f32 ux) ux (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (pow (- 1 ux) 2))) maxCos)) (* 2 (* ux (- 1 ux)))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (fma.f32 ux ux (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos)) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (pow (- 1 ux) 2))) maxCos)) (* 2 (* ux (- 1 ux)))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (fma.f32 ux ux (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos)) maxCos))) (*.f32 maxCos maxCos))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 ux) maxCos) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (pow (- 1 ux) 2))) (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 maxCos ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) maxCos)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- (+ 1 (* -1 (pow (- 1 ux) 2))) (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (pow (- 1 ux) 2))) (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (-.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 ux ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) maxCos)) maxCos)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 (neg.f32 ux) ux (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (neg.f32 (fma.f32 ux ux (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos)) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (neg.f32 (fma.f32 ux ux (/.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos)) maxCos))) (*.f32 maxCos maxCos))
(* -1 (* maxCos (* ux (- 1 ux))))
(*.f32 (neg.f32 maxCos) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))
(* -1 (* maxCos (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -1 (* ux (- 1 ux))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) #s(literal -1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))
(* -1 (* maxCos (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -1 (* ux (- 1 ux))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) #s(literal -1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))
(* -1 (* maxCos (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -1 (* ux (- 1 ux))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) #s(literal -1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 maxCos)) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 maxCos)) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 maxCos)) ux))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 ux) maxCos) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 maxCos ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) maxCos)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (-.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 ux ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) maxCos)) maxCos)))
(* -2 maxCos)
(*.f32 #s(literal -2 binary32) maxCos)
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 ux) maxCos) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 maxCos ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) maxCos)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (-.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 ux ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) maxCos)) maxCos)))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 ux) maxCos) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 maxCos ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) maxCos)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (-.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (-.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 ux ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) maxCos)) maxCos)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (- (+ (* -1 (/ ux maxCos)) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (/ (pow ux 2) maxCos))) (pow ux 2)))
(*.f32 (-.f32 (-.f32 (-.f32 (/.f32 (*.f32 ux ux) maxCos) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)) (/.f32 ux maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- ux (* -1 (* ux (- 1 ux)))) maxCos)) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) maxCos) #s(literal -1 binary32) ux) (-.f32 (*.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- ux (* -1 (* ux (- 1 ux)))) maxCos)) (+ (* -1 ux) (+ (* -1 (* ux (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) maxCos) #s(literal -1 binary32) ux) (-.f32 (*.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 ux ux) (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)) (*.f32 maxCos maxCos))
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 maxCos)) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 maxCos)) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 maxCos)) ux))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2))))
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(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2))))
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(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2))))
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(* -1 (* (pow maxCos 2) ux))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) ux)
(* (pow maxCos 2) (+ (* -1 ux) (* -1 (/ (+ 2 (* -2 ux)) maxCos))))
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(* (pow maxCos 2) (+ (* -1 ux) (* -1 (/ (+ 2 (+ (* -2 ux) (* -1 (/ (+ 2 (* -1 ux)) maxCos)))) maxCos))))
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(* (pow maxCos 2) (+ (* -1 ux) (* -1 (/ (+ 2 (+ (* -2 ux) (* -1 (/ (+ 2 (* -1 ux)) maxCos)))) maxCos))))
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(* -1 ux)
(neg.f32 ux)
(+ (* -1 ux) (* 2 (/ ux maxCos)))
(-.f32 (*.f32 (/.f32 ux maxCos) #s(literal 2 binary32)) ux)
(+ (* -1 ux) (* -1 (/ (+ (* -2 ux) (* -1 (/ (+ 2 (* -1 ux)) maxCos))) maxCos)))
(-.f32 (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos)) (neg.f32 maxCos)) ux)
(+ (* -1 ux) (* -1 (/ (+ (* -2 ux) (* -1 (/ (+ 2 (* -1 ux)) maxCos))) maxCos)))
(-.f32 (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos)) (neg.f32 maxCos)) ux)
(* 2 (* (* uy (PI)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))
(*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* 2 (* (PI) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))))
(*.f32 (fma.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 uy uy))) #s(literal -4/3 binary32) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))))))
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(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (+ (* -1 (* ux (- (+ 1 (* maxCos ux)) ux))) (* (+ 1 (* maxCos ux)) (- (+ 1 (* maxCos ux)) ux)))))))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (pow.f32 (PI.f32) #s(literal 5 binary32))) #s(literal 4/15 binary32) (*.f32 (*.f32 (*.f32 #s(literal -8/315 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) (*.f32 uy uy) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) uy)
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
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(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
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(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -8/315 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32))) (*.f32 uy uy) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32))) (*.f32 uy uy) (*.f32 (PI.f32) #s(literal 2 binary32))) uy)
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(* 2 (* (* uy (PI)) (sqrt (+ 1 (* -1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))
(*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (+ 1 (* -1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) (* 2 (* (PI) (sqrt (+ 1 (* -1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))
(*.f32 (fma.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 uy uy))) #s(literal -4/3 binary32) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (+ 1 (* -1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (+ 1 (* -1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (+ 1 (* -1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 uy uy))) #s(literal 4/15 binary32) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (+ 1 (* -1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (+ 1 (* -1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (+ 1 (* -1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) (* 4/15 (* (pow (PI) 5) (sqrt (+ 1 (* -1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))))
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(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
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(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
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(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
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(* 2 (* uy (PI)))
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(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(* 2 (* (* uy (PI)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))
(*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))
(*.f32 (fma.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 uy uy))) #s(literal -4/3 binary32) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 uy uy))) #s(literal 4/15 binary32) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (pow.f32 (PI.f32) #s(literal 5 binary32))) #s(literal 4/15 binary32) (*.f32 (*.f32 (*.f32 #s(literal -8/315 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))) (*.f32 uy uy) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))) uy)
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(*.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
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(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
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(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
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(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
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(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
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(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
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(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
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(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
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(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
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(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
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(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
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(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
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(* 2 uy)
(*.f32 uy #s(literal 2 binary32))
(* 2 uy)
(*.f32 uy #s(literal 2 binary32))
(* 2 uy)
(*.f32 uy #s(literal 2 binary32))
(* 2 uy)
(*.f32 uy #s(literal 2 binary32))
(* 2 ux)
(*.f32 ux #s(literal 2 binary32))
(* ux (+ 2 (* -1 ux)))
(*.f32 (-.f32 #s(literal 2 binary32) ux) ux)
(* ux (+ 2 (* -1 ux)))
(*.f32 (-.f32 #s(literal 2 binary32) ux) ux)
(* ux (+ 2 (* -1 ux)))
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(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
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(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
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(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))))))
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(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) (*.f32 (pow.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)) ux)))) (*.f32 (pow.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 3 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) (*.f32 ux ux) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* -1 (* ux (- (* 2 maxCos) 2)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(* ux (+ (* -1 (* ux (pow (- maxCos 1) 2))) (* -1 (- (* 2 maxCos) 2))))
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(* ux (+ (* -1 (* ux (pow (- maxCos 1) 2))) (* -1 (- (* 2 maxCos) 2))))
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(* ux (+ (* -1 (* ux (pow (- maxCos 1) 2))) (* -1 (- (* 2 maxCos) 2))))
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(* (sqrt (* ux (- (* 2 maxCos) 2))) (* (sin (* 2 (* uy (PI)))) (sqrt -1)))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- (* 2 maxCos) 2))) (/ (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)) (sqrt -1)))) (* (sqrt (* ux (- (* 2 maxCos) 2))) (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(fma.f32 (*.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (*.f32 (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32))))) #s(literal -1/2 binary32)))
(+ (* (sqrt (* ux (- (* 2 maxCos) 2))) (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- (* 2 maxCos) 2)))) (/ (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)) (sqrt -1)))) (* -1/8 (* (sqrt (/ ux (pow (- (* 2 maxCos) 2) 3))) (/ (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)) (pow (sqrt -1) 3)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal 3 binary32))))) (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) ux)))) (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))
(+ (* (sqrt (* ux (- (* 2 maxCos) 2))) (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- (* 2 maxCos) 2)))) (/ (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)) (sqrt -1)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- (* 2 maxCos) 2) 3)))) (/ (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)) (pow (sqrt -1) 3)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- (* 2 maxCos) 2) 5)))) (/ (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)) (pow (sqrt -1) 5)))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal 5 binary32)) ux)))) (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (pow.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal 3 binary32)))) (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) #s(literal -1/8 binary32))) (*.f32 ux ux) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) ux)))) (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))
(* ux (- 2 (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
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(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
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(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
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(* ux (- 2 maxCos))
(*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)
(* ux (- (+ 2 (* ux (- maxCos 1))) maxCos))
(*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)
(* ux (- (+ 2 (* ux (- maxCos 1))) maxCos))
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(* ux (- (+ 2 (* ux (- maxCos 1))) maxCos))
(*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) (*.f32 (pow.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) (*.f32 (pow.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)) ux)))) (*.f32 (pow.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 3 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) (*.f32 ux ux) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)) ux)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) #s(literal -1/8 binary32))) (*.f32 ux ux) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)) ux)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) #s(literal -1/8 binary32))) (*.f32 ux ux) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* ux (- 2 (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- (* 2 maxCos) 2)))
(fma.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(fma.f32 (fma.f32 maxCos #s(literal 2 binary32) (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux #s(literal -2 binary32))) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(fma.f32 (fma.f32 maxCos #s(literal 2 binary32) (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux #s(literal -2 binary32))) ux #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (+ 2 (* -2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)
(* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)) (*.f32 maxCos maxCos))
(+ (* (pow maxCos 2) (* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))))
(*.f32 (*.f32 maxCos maxCos) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos))))
(+ (* (pow maxCos 2) (* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))))
(*.f32 (*.f32 maxCos maxCos) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos))))
(+ (* (pow maxCos 2) (* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))))
(*.f32 (*.f32 maxCos maxCos) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos))))
(/ 2 (pow maxCos 2))
(/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))
(+ (* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (* 2 (/ 1 (pow maxCos 2))))
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)))
(+ (* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (* 2 (/ 1 (pow maxCos 2))))
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)))
(+ (* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (* 2 (/ 1 (pow maxCos 2))))
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)))
(* -1 (pow ux 2))
(*.f32 (neg.f32 ux) ux)
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))
(* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(*.f32 (sqrt.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) ux)
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 ux ux)) (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 3 binary32)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))) ux)
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
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(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
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(* (pow ux 2) (+ (* -1 (/ (- (* 2 maxCos) 2) ux)) (* -1 (pow (- maxCos 1) 2))))
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(* (pow ux 2) (+ (* -1 (/ (- (* 2 maxCos) 2) ux)) (* -1 (pow (- maxCos 1) 2))))
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(* (pow ux 2) (+ (* -1 (/ (- (* 2 maxCos) 2) ux)) (* -1 (pow (- maxCos 1) 2))))
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(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)
(* ux (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* 2 maxCos) 2)) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
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(* ux (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* 2 maxCos) 2)) (* ux (* (sqrt -1) (- maxCos 1))))) (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- (* 2 maxCos) 2) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
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(* ux (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* 2 maxCos) 2)) (* ux (* (sqrt -1) (- maxCos 1))))) (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- (* 2 maxCos) 2) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* -1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- (* 2 maxCos) 2) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
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(* -1 (* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
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(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
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(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
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(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
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(* (pow ux 2) (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (/ maxCos ux))))
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(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (/ maxCos ux))))
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(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (/ maxCos ux))))
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(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
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(* ux (- (+ maxCos (/ 1 ux)) 1))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
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(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))) ux)
(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
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(* ux (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
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(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
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(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
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(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
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(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
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(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
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(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
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(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
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(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
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(* -1 (* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
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(* ux (- maxCos 1))
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(* ux (+ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux)))
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(* ux (+ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux)))
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(* ux (+ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux)))
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(* -1 (pow ux 2))
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(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
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(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
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(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
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(* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))
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(* -1 (* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
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(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3)))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
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(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))) (* 1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 5)))))) ux)) (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
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(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
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(*.f32 (-.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) ux)) #s(literal 1 binary32)) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos maxCos))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(*.f32 (-.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal -2 binary32) (/.f32 #s(literal 2 binary32) ux)) #s(literal 1 binary32)) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos maxCos))) (*.f32 ux ux))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(*.f32 (neg.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(*.f32 (fma.f32 (/.f32 maxCos ux) #s(literal -2 binary32) (-.f32 (/.f32 #s(literal 2 binary32) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 ux ux))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(*.f32 (fma.f32 (/.f32 maxCos ux) #s(literal -2 binary32) (-.f32 (/.f32 #s(literal 2 binary32) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 ux ux))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(*.f32 (fma.f32 (/.f32 maxCos ux) #s(literal -2 binary32) (-.f32 (/.f32 #s(literal 2 binary32) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 ux ux))
(* (pow maxCos 2) (* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))))
(*.f32 (*.f32 (*.f32 maxCos maxCos) ux) (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))))
(* -1 (* ux (+ (* -1 (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (* -1 (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux)))))
(*.f32 (neg.f32 (*.f32 (*.f32 maxCos maxCos) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)) ux) (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))))) (neg.f32 ux))
(* -1 (* ux (+ (* -1 (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (* -1 (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux)))))
(*.f32 (neg.f32 (*.f32 (*.f32 maxCos maxCos) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)) ux) (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))))) (neg.f32 ux))
(* -1 (* ux (+ (* -1 (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (* -1 (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux)))))
(*.f32 (neg.f32 (*.f32 (*.f32 maxCos maxCos) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)) ux) (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))))) (neg.f32 ux))
(* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux)
(* -1 (* ux (- (* -1 (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (* 2 (/ 1 (* (pow maxCos 2) ux))))))
(*.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) #s(literal -1 binary32) (/.f32 #s(literal -2 binary32) (*.f32 (*.f32 maxCos maxCos) ux))) (neg.f32 ux))
(* -1 (* ux (- (* -1 (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (* 2 (/ 1 (* (pow maxCos 2) ux))))))
(*.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) #s(literal -1 binary32) (/.f32 #s(literal -2 binary32) (*.f32 (*.f32 maxCos maxCos) ux))) (neg.f32 ux))
(* -1 (* ux (- (* -1 (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (* 2 (/ 1 (* (pow maxCos 2) ux))))))
(*.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) #s(literal -1 binary32) (/.f32 #s(literal -2 binary32) (*.f32 (*.f32 maxCos maxCos) ux))) (neg.f32 ux))

rewrite211.0ms (1.8%)

Memory
6.6MiB live, 285.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088466
0140399
1615377
25789377
09279366
Stop Event
iter limit
node limit
iter limit
Counts
22 → 349
Calls
Call 1
Inputs
(+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
#s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux)))
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux)))))
(*.f32 uy #s(literal 2 binary32))
#s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(*.f32 (*.f32 maxCos maxCos) (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos)))
(fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)))
Outputs
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eval144.0ms (1.2%)

Memory
4.7MiB live, 302.6MiB allocated
Compiler

Compiled 36 324 to 3 502 computations (90.4% saved)

prune149.0ms (1.2%)

Memory
-32.1MiB live, 429.5MiB allocated
Pruning

76 alts after pruning (69 fresh and 7 done)

PrunedKeptTotal
New95630986
Fresh203959
Picked235
Done044
Total978761 054
Accuracy
99.6%
Counts
1 054 → 76
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.6%
(*.f32 (*.f32 #s(literal 2 binary32) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
22.2%
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
58.9%
(*.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) uy))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
91.2%
(*.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
91.2%
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
91.2%
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
59.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
28.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))))
34.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (expm1.f32 (*.f32 (log1p.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))) #s(literal 4 binary32))) (-.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1 binary32)))))
21.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
59.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
59.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
58.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
57.1%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
58.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
57.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
57.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
82.2%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 (-.f32 ux (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
91.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
55.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (-.f32 (*.f32 ux ux) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))))
91.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux))))
91.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))))))
91.8%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
72.5%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 ux #s(literal 2 binary32))))))
57.3%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))
45.5%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (*.f32 ux #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))
45.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 #s(approx (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux)) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))
17.3%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (*.f32 maxCos maxCos) (/.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (*.f32 maxCos maxCos)) (neg.f32 ux))) (*.f32 ux ux))))))
52.0%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 #s(approx (+ (* (- (- (/ 2 maxCos) 1) (/ 1 (* maxCos maxCos))) ux) (/ 2 (* maxCos maxCos))) (/.f32 (-.f32 #s(literal 2 binary32) ux) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux)))))
53.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 #s(approx (+ (* (- (- (/ 2 maxCos) 1) (/ 1 (* maxCos maxCos))) ux) (/ 2 (* maxCos maxCos))) (/.f32 (+.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) maxCos) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux)))))
52.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 #s(approx (+ (* (- (- (/ 2 maxCos) 1) (/ 1 (* maxCos maxCos))) ux) (/ 2 (* maxCos maxCos))) (/.f32 (+.f32 (-.f32 (*.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux)))))
41.9%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 #s(approx (+ (* (- (- (/ 2 maxCos) 1) (/ 1 (* maxCos maxCos))) ux) (/ 2 (* maxCos maxCos))) (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux)))))
53.4%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 #s(approx (+ (* (- (- (/ 2 maxCos) 1) (/ 1 (* maxCos maxCos))) ux) (/ 2 (* maxCos maxCos))) (-.f32 (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos)) (neg.f32 maxCos)) ux)) (/.f32 #s(literal 2 binary32) maxCos))) ux)))))
44.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 #s(approx (+ (* (- (- (/ 2 maxCos) 1) (/ 1 (* maxCos maxCos))) ux) (/ 2 (* maxCos maxCos))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 #s(literal 2 binary32) maxCos)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) #s(literal 1 binary32))) ux)) (/.f32 #s(literal 2 binary32) maxCos))) ux)))))
44.6%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)) ux) (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))))) (*.f32 ux ux))))))
39.7%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)))))))
41.3%
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 #s(approx (* (* maxCos maxCos) (- (+ (* (- (- (/ 2 maxCos) 1) (/ 1 (* maxCos maxCos))) ux) (/ 2 (* maxCos maxCos))) (/ 2 maxCos))) (*.f32 (-.f32 (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos)) (neg.f32 maxCos)) ux) (*.f32 maxCos maxCos))) ux)))))
1.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
80.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
32.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
20.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
49.8%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
76.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
49.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 ux (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
20.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
20.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
34.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
20.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
20.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
20.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 (-.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
34.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 #s(approx (+ (* maxCos ux) (- 1 ux)) #s(literal 1 binary32)) maxCos) ux))))
35.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux #s(literal 1 binary32))) (*.f32 ux ux)) (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
49.6%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 ux (*.f32 maxCos ux))) (neg.f32 (-.f32 ux (*.f32 maxCos ux))))) (-.f32 #s(literal 1 binary32) (neg.f32 (-.f32 ux (*.f32 maxCos ux))))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
49.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 #s(approx (+ (* maxCos ux) (- 1 ux)) #s(literal 1 binary32)) maxCos) ux))))
49.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
80.2%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
80.2%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (/.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
64.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
20.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 maxCos ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
51.7%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
26.3%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fma.f32 #s(literal -1 binary32) ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
51.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
51.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
50.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
51.9%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
51.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
26.5%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
7.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
12.4%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (/.f32 (*.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32))) (*.f32 ux ux)) (+.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 2 binary32)))))))
76.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (/.f32 (*.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (*.f32 ux ux)) (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))))
80.6%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal 4 binary32) (*.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos))) (-.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos))) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
80.6%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
76.2%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux))))
76.2%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))))))
36.6%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 maxCos maxCos)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (*.f32 ux ux)) (*.f32 maxCos maxCos))))))
51.1%
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
Compiler

Compiled 6 453 to 2 374 computations (63.2% saved)

regimes421.0ms (3.5%)

Memory
15.4MiB live, 684.1MiB allocated
Counts
137 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fma.f32 #s(literal -1 binary32) ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 #s(approx (+ (* maxCos ux) (- 1 ux)) #s(literal 1 binary32)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 #s(approx (+ (* maxCos ux) (- 1 ux)) #s(literal 1 binary32)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal -2 binary32) (neg.f32 ux))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
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(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 0 binary32) (expm1.f32 (*.f32 (log1p.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))) #s(literal 2 binary32))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (/.f32 (*.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (*.f32 ux ux)) (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))))))
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 (sin.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (*.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) uy))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (expm1.f32 (*.f32 (log1p.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))) #s(literal 4 binary32))) (-.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 ux ux) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)))) #s(literal 2 binary32))) (+.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 ux ux) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)))) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (/.f32 (*.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32))) (*.f32 ux ux)) (+.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 2 binary32)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 ux ux) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)))) #s(literal 1 binary32))) (/.f32 (pow.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 ux ux) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)))) #s(literal 2 binary32)) (+.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 ux ux) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)))) #s(literal 1 binary32))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)))) (*.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))) (*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))) (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))))))
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 #s(approx (+ (* (- (- (/ 2 maxCos) 1) (/ 1 (* maxCos maxCos))) ux) (/ 2 (* maxCos maxCos))) (/.f32 (+.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) maxCos) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux)))))
Calls

11 calls:

40.0ms
ux
39.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
39.0ms
maxCos
39.0ms
(*.f32 uy #s(literal 2 binary32))
38.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Results
AccuracySegmentsBranch
92.1%1ux
96.0%2uy
98.4%2maxCos
92.1%1(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
92.1%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
96.0%2(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
96.0%2(*.f32 uy #s(literal 2 binary32))
92.1%1(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
92.1%1(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
92.1%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
92.1%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes30.0ms (0.3%)

Memory
9.5MiB live, 47.0MiB allocated
Counts
94 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
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(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 (-.f32 ux (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (*.f32 maxCos ux) (+.f32 #s(literal -1 binary32) (-.f32 ux (*.f32 maxCos ux))) (fma.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 #s(approx (+ (* (- (- (/ 2 maxCos) 1) (/ 1 (* maxCos maxCos))) ux) (/ 2 (* maxCos maxCos))) (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 #s(approx (+ (* (- (- (/ 2 maxCos) 1) (/ 1 (* maxCos maxCos))) ux) (/ 2 (* maxCos maxCos))) (/.f32 (-.f32 #s(literal 2 binary32) ux) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 #s(approx (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux)) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(approx (* (- (pow (- 1 maxCos) 2) (/ (- (+ (* maxCos -2) 2) (/ 1 ux)) ux)) (* ux ux)) (*.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 #s(approx (* (* maxCos maxCos) (- (+ (* (- (- (/ 2 maxCos) 1) (/ 1 (* maxCos maxCos))) ux) (/ 2 (* maxCos maxCos))) (/ 2 maxCos))) (*.f32 (-.f32 (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos)) (neg.f32 maxCos)) ux) (*.f32 maxCos maxCos))) ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal 4 binary32) (*.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos))) (-.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos))) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 #s(approx (+ (* (- (- (/ 2 maxCos) 1) (/ 1 (* maxCos maxCos))) ux) (/ 2 (* maxCos maxCos))) (/.f32 (+.f32 (-.f32 (*.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (*.f32 ux #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (-.f32 (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))) (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 #s(approx (+ (* (- (- (/ 2 maxCos) 1) (/ 1 (* maxCos maxCos))) ux) (/ 2 (* maxCos maxCos))) (/.f32 (+.f32 (-.f32 (*.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux)))))
Calls

1 calls:

26.0ms
maxCos
Results
AccuracySegmentsBranch
97.9%2maxCos
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes29.0ms (0.2%)

Memory
7.2MiB live, 44.6MiB allocated
Counts
88 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fma.f32 #s(literal -1 binary32) ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 #s(approx (+ (* maxCos ux) (- 1 ux)) #s(literal 1 binary32)) maxCos) ux))))
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(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (*.f32 maxCos ux) (+.f32 #s(literal -1 binary32) (-.f32 ux (*.f32 maxCos ux))) (fma.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 #s(approx (+ (* (- (- (/ 2 maxCos) 1) (/ 1 (* maxCos maxCos))) ux) (/ 2 (* maxCos maxCos))) (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 #s(approx (+ (* (- (- (/ 2 maxCos) 1) (/ 1 (* maxCos maxCos))) ux) (/ 2 (* maxCos maxCos))) (/.f32 (-.f32 #s(literal 2 binary32) ux) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 #s(approx (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux)) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(approx (* (- (pow (- 1 maxCos) 2) (/ (- (+ (* maxCos -2) 2) (/ 1 ux)) ux)) (* ux ux)) (*.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 #s(approx (* (* maxCos maxCos) (- (+ (* (- (- (/ 2 maxCos) 1) (/ 1 (* maxCos maxCos))) ux) (/ 2 (* maxCos maxCos))) (/ 2 maxCos))) (*.f32 (-.f32 (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos)) (neg.f32 maxCos)) ux) (*.f32 maxCos maxCos))) ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal 4 binary32) (*.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos))) (-.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos))) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
Outputs
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 #s(approx (+ (* (- (- (/ 2 maxCos) 1) (/ 1 (* maxCos maxCos))) ux) (/ 2 (* maxCos maxCos))) (/.f32 (-.f32 #s(literal 2 binary32) ux) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux)))))
Calls

1 calls:

24.0ms
maxCos
Results
AccuracySegmentsBranch
97.0%2maxCos
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes95.0ms (0.8%)

Memory
5.0MiB live, 161.1MiB allocated
Counts
80 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fma.f32 #s(literal -1 binary32) ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 #s(approx (+ (* maxCos ux) (- 1 ux)) #s(literal 1 binary32)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 #s(approx (+ (* maxCos ux) (- 1 ux)) #s(literal 1 binary32)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal -2 binary32) (neg.f32 ux))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 ux (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 ux (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 maxCos ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (/.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 (-.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux #s(literal 1 binary32))) (*.f32 ux ux)) (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 ux (*.f32 maxCos ux))) (neg.f32 (-.f32 ux (*.f32 maxCos ux))))) (-.f32 #s(literal 1 binary32) (neg.f32 (-.f32 ux (*.f32 maxCos ux))))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 maxCos maxCos)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (*.f32 ux ux)) (*.f32 maxCos maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 ux #s(literal 2 binary32))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 maxCos (*.f32 #s(literal 2 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) uy) (*.f32 (PI.f32) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 (-.f32 ux (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (*.f32 maxCos ux) (+.f32 #s(literal -1 binary32) (-.f32 ux (*.f32 maxCos ux))) (fma.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 #s(approx (+ (* (- (- (/ 2 maxCos) 1) (/ 1 (* maxCos maxCos))) ux) (/ 2 (* maxCos maxCos))) (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 (-.f32 ux (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
Calls

4 calls:

24.0ms
maxCos
23.0ms
uy
22.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
22.0ms
(*.f32 uy #s(literal 2 binary32))
Results
AccuracySegmentsBranch
95.9%2uy
95.9%2(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
95.9%2(*.f32 uy #s(literal 2 binary32))
92.1%1maxCos
Compiler

Compiled 10 to 18 computations (-80% saved)

regimes61.0ms (0.5%)

Memory
13.4MiB live, 96.8MiB allocated
Counts
65 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
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(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 maxCos (*.f32 #s(literal 2 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) uy) (*.f32 (PI.f32) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))))))
Calls

3 calls:

22.0ms
(*.f32 uy #s(literal 2 binary32))
19.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
17.0ms
uy
Results
AccuracySegmentsBranch
95.8%2uy
95.8%2(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
95.8%2(*.f32 uy #s(literal 2 binary32))
Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes233.0ms (2%)

Memory
-15.6MiB live, 335.7MiB allocated
Counts
64 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fma.f32 #s(literal -1 binary32) ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 #s(approx (+ (* maxCos ux) (- 1 ux)) #s(literal 1 binary32)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 #s(approx (+ (* maxCos ux) (- 1 ux)) #s(literal 1 binary32)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal -2 binary32) (neg.f32 ux))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 ux (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 ux (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 maxCos ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (/.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 (-.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux #s(literal 1 binary32))) (*.f32 ux ux)) (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 ux (*.f32 maxCos ux))) (neg.f32 (-.f32 ux (*.f32 maxCos ux))))) (-.f32 #s(literal 1 binary32) (neg.f32 (-.f32 ux (*.f32 maxCos ux))))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 maxCos maxCos)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (*.f32 ux ux)) (*.f32 maxCos maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 ux #s(literal 2 binary32))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 maxCos (*.f32 #s(literal 2 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (*.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) uy) (*.f32 (PI.f32) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (/.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))))))
Calls

11 calls:

47.0ms
maxCos
22.0ms
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
20.0ms
uy
18.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
18.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
Results
AccuracySegmentsBranch
91.8%1maxCos
91.8%1ux
91.8%1(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
91.8%1(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
91.8%1(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
91.8%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
91.8%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
91.8%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
95.2%2uy
95.2%2(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
95.2%2(*.f32 uy #s(literal 2 binary32))
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes78.0ms (0.7%)

Memory
-7.2MiB live, 71.1MiB allocated
Counts
52 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fma.f32 #s(literal -1 binary32) ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 #s(approx (+ (* maxCos ux) (- 1 ux)) #s(literal 1 binary32)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 #s(approx (+ (* maxCos ux) (- 1 ux)) #s(literal 1 binary32)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal -2 binary32) (neg.f32 ux))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 ux (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 ux (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 maxCos ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (/.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 (-.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux #s(literal 1 binary32))) (*.f32 ux ux)) (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 ux (*.f32 maxCos ux))) (neg.f32 (-.f32 ux (*.f32 maxCos ux))))) (-.f32 #s(literal 1 binary32) (neg.f32 (-.f32 ux (*.f32 maxCos ux))))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 maxCos maxCos)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (*.f32 ux ux)) (*.f32 maxCos maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 ux #s(literal 2 binary32))))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (/.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
Calls

3 calls:

42.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
18.0ms
uy
14.0ms
(*.f32 uy #s(literal 2 binary32))
Results
AccuracySegmentsBranch
95.1%2uy
95.1%2(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
95.1%2(*.f32 uy #s(literal 2 binary32))
Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes148.0ms (1.2%)

Memory
23.6MiB live, 258.0MiB allocated
Counts
44 → 2
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fma.f32 #s(literal -1 binary32) ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 #s(approx (+ (* maxCos ux) (- 1 ux)) #s(literal 1 binary32)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 #s(approx (+ (* maxCos ux) (- 1 ux)) #s(literal 1 binary32)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal -2 binary32) (neg.f32 ux))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 ux (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 ux (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 maxCos ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (/.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 (-.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux #s(literal 1 binary32))) (*.f32 ux ux)) (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 ux (*.f32 maxCos ux))) (neg.f32 (-.f32 ux (*.f32 maxCos ux))))) (-.f32 #s(literal 1 binary32) (neg.f32 (-.f32 ux (*.f32 maxCos ux))))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 maxCos maxCos)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (*.f32 ux ux)) (*.f32 maxCos maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 ux #s(literal 2 binary32))))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (/.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 ux #s(literal 2 binary32))))))
Calls

11 calls:

16.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
15.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
14.0ms
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
13.0ms
ux
13.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
Results
AccuracySegmentsBranch
80.0%1maxCos
83.4%2(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
86.7%2(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
84.4%2(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
84.4%2(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
84.4%2ux
84.4%2(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
84.4%2(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
89.2%2uy
89.2%2(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
89.2%2(*.f32 uy #s(literal 2 binary32))
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes169.0ms (1.4%)

Memory
17.2MiB live, 208.0MiB allocated
Counts
43 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fma.f32 #s(literal -1 binary32) ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 #s(approx (+ (* maxCos ux) (- 1 ux)) #s(literal 1 binary32)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 #s(approx (+ (* maxCos ux) (- 1 ux)) #s(literal 1 binary32)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal -2 binary32) (neg.f32 ux))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 ux (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 ux (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 maxCos ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (/.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 (-.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux #s(literal 1 binary32))) (*.f32 ux ux)) (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 ux (*.f32 maxCos ux))) (neg.f32 (-.f32 ux (*.f32 maxCos ux))))) (-.f32 #s(literal 1 binary32) (neg.f32 (-.f32 ux (*.f32 maxCos ux))))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 maxCos maxCos)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (*.f32 ux ux)) (*.f32 maxCos maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (/.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
Calls

10 calls:

42.0ms
uy
24.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
15.0ms
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
14.0ms
ux
13.0ms
(*.f32 uy #s(literal 2 binary32))
Results
AccuracySegmentsBranch
80.0%1(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
80.0%1ux
80.0%1(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
80.0%1(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
80.0%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
80.0%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
80.0%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
80.0%1uy
80.0%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
80.0%1(*.f32 uy #s(literal 2 binary32))
Compiler

Compiled 98 to 76 computations (22.4% saved)

regimes116.0ms (1%)

Memory
-14.2MiB live, 188.9MiB allocated
Counts
32 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fma.f32 #s(literal -1 binary32) ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 #s(approx (+ (* maxCos ux) (- 1 ux)) #s(literal 1 binary32)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 #s(approx (+ (* maxCos ux) (- 1 ux)) #s(literal 1 binary32)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal -2 binary32) (neg.f32 ux))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 ux (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 ux (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 maxCos ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
Calls

11 calls:

15.0ms
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
12.0ms
uy
11.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
10.0ms
maxCos
10.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
Results
AccuracySegmentsBranch
80.0%1uy
80.0%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
80.0%1(*.f32 uy #s(literal 2 binary32))
80.0%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
80.0%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
80.0%1maxCos
80.0%1(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
80.0%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
80.0%1ux
80.0%1(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
80.0%1(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes108.0ms (0.9%)

Memory
14.6MiB live, 205.7MiB allocated
Counts
31 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 maxCos ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (fma.f32 #s(literal -1 binary32) ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 #s(approx (+ (* maxCos ux) (- 1 ux)) #s(literal 1 binary32)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 #s(approx (+ (* maxCos ux) (- 1 ux)) #s(literal 1 binary32)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal -2 binary32) (neg.f32 ux))) (*.f32 maxCos maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 ux (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 ux (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) maxCos) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (*.f32 maxCos ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))))))
Calls

11 calls:

13.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
10.0ms
maxCos
10.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
10.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
10.0ms
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
Results
AccuracySegmentsBranch
76.2%1uy
76.2%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
76.2%1(*.f32 uy #s(literal 2 binary32))
76.2%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
76.2%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
76.2%1maxCos
76.2%1(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
76.2%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
76.2%1(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
76.2%1(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
76.2%1ux
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes47.0ms (0.4%)

Memory
-9.0MiB live, 106.4MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 ux ux) maxCos) maxCos)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
Calls

11 calls:

5.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
4.0ms
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
4.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
4.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
4.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
Results
AccuracySegmentsBranch
76.1%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
76.1%1maxCos
76.1%1(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
76.1%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
76.1%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
76.1%1uy
76.1%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
76.1%1(*.f32 uy #s(literal 2 binary32))
76.1%1ux
76.1%1(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
76.1%1(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes28.0ms (0.2%)

Memory
31.1MiB live, 69.9MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
Calls

11 calls:

3.0ms
(*.f32 uy #s(literal 2 binary32))
3.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
2.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
2.0ms
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
2.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
Results
AccuracySegmentsBranch
62.1%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
62.1%1maxCos
62.1%1ux
62.1%1uy
62.1%1(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
62.1%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
62.1%1(*.f32 uy #s(literal 2 binary32))
62.1%1(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
62.1%1(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
62.1%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
62.1%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes23.0ms (0.2%)

Memory
-7.3MiB live, 70.7MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
Calls

11 calls:

3.0ms
ux
2.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
2.0ms
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
2.0ms
maxCos
2.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Results
AccuracySegmentsBranch
20.1%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
20.1%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
20.1%1maxCos
20.1%1ux
20.1%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
20.1%1(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
20.1%1(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
20.1%1uy
20.1%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
20.1%1(*.f32 uy #s(literal 2 binary32))
20.1%1(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes40.0ms (0.3%)

Memory
-36.6MiB live, 55.1MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
Outputs
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
Calls

11 calls:

22.0ms
(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
4.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms
(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
1.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
1.0ms
(*.f32 uy #s(literal 2 binary32))
Results
AccuracySegmentsBranch
7.1%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
7.1%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
7.1%1uy
7.1%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
7.1%1(*.f32 uy #s(literal 2 binary32))
7.1%1(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
7.1%1ux
7.1%1maxCos
7.1%1(sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
7.1%1(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
7.1%1(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
Compiler

Compiled 99 to 79 computations (20.2% saved)

bsearch1.0ms (0%)

Memory
3.9MiB live, 3.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
1.8897677023232973e-7
2.8845104793617793e-7
Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch1.0ms (0%)

Memory
4.7MiB live, 4.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
1.8897677023232973e-7
2.8845104793617793e-7
Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch1.0ms (0%)

Memory
4.3MiB live, 4.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
1.8897677023232973e-7
2.8845104793617793e-7
Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00021131399262230843
0.00021195273438934237
Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00021131399262230843
0.00021195273438934237
Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00018735090270638466
0.00020772272546309978
Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.00018735090270638466
0.00020772272546309978
Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.002496844157576561
0.0026813701260834932
Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify94.0ms (0.8%)

Memory
-11.1MiB live, 107.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01971318
12871318
23601318
34281318
44961318
56531318
68811318
711631318
814631318
917901318
1020421318
1121991318
1222731318
1322911318
1422921318
1522921318
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f32 maxCos #s(literal 14073749/70368744177664 binary32)) (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux)))))) (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 #s(approx (+ (* (- (- (/ 2 maxCos) 1) (/ 1 (* maxCos maxCos))) ux) (/ 2 (* maxCos maxCos))) (/.f32 (+.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) maxCos) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))))
(if (<=.f32 maxCos #s(literal 14073749/70368744177664 binary32)) (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux)))))) (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 #s(approx (+ (* (- (- (/ 2 maxCos) 1) (/ 1 (* maxCos maxCos))) ux) (/ 2 (* maxCos maxCos))) (/.f32 (+.f32 (-.f32 (*.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))))
(if (<=.f32 maxCos #s(literal 14073749/70368744177664 binary32)) (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux)))))) (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 #s(approx (+ (* (- (- (/ 2 maxCos) 1) (/ 1 (* maxCos maxCos))) ux) (/ 2 (* maxCos maxCos))) (/.f32 (-.f32 #s(literal 2 binary32) ux) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))))
(if (<=.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 14534169/68719476736 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 (-.f32 ux (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))))
(if (<=.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 14534169/68719476736 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux)))))))
(if (<=.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 13743895/68719476736 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (/.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux)))))))
(if (<=.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 13743895/68719476736 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (/.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))))))
(if (<=.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 5368709/2147483648 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (/.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 ux #s(literal 2 binary32)))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (/.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
Outputs
(if (<=.f32 maxCos #s(literal 14073749/70368744177664 binary32)) (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux)))))) (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 #s(approx (+ (* (- (- (/ 2 maxCos) 1) (/ 1 (* maxCos maxCos))) ux) (/ 2 (* maxCos maxCos))) (/.f32 (+.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) maxCos) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))))
(if (<=.f32 maxCos #s(literal 14073749/70368744177664 binary32)) (*.f32 (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 (*.f32 ux ux) (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)))))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) (*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (-.f32 #s(approx (+ (* (- (- (/ 2 maxCos) 1) (/ 1 (* maxCos maxCos))) ux) (/ 2 (* maxCos maxCos))) (/.f32 (+.f32 (-.f32 (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux) maxCos) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos)) (*.f32 maxCos maxCos)) ux)))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))))
(if (<=.f32 maxCos #s(literal 14073749/70368744177664 binary32)) (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux)))))) (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 #s(approx (+ (* (- (- (/ 2 maxCos) 1) (/ 1 (* maxCos maxCos))) ux) (/ 2 (* maxCos maxCos))) (/.f32 (+.f32 (-.f32 (*.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))))
(if (<=.f32 maxCos #s(literal 14073749/70368744177664 binary32)) (*.f32 (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 (*.f32 ux ux) (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)))))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) (*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (-.f32 #s(approx (+ (* (- (- (/ 2 maxCos) 1) (/ 1 (* maxCos maxCos))) ux) (/ 2 (* maxCos maxCos))) (/.f32 (+.f32 (-.f32 (*.f32 (*.f32 ux maxCos) #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos)) (*.f32 maxCos maxCos)) ux)))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))))
(if (<=.f32 maxCos #s(literal 14073749/70368744177664 binary32)) (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux)))))) (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (*.f32 maxCos maxCos) (-.f32 #s(approx (+ (* (- (- (/ 2 maxCos) 1) (/ 1 (* maxCos maxCos))) ux) (/ 2 (* maxCos maxCos))) (/.f32 (-.f32 #s(literal 2 binary32) ux) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos))) ux))))))
(if (<=.f32 maxCos #s(literal 14073749/70368744177664 binary32)) (*.f32 (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 (*.f32 ux ux) (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)))))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) (*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (*.f32 (*.f32 (-.f32 #s(approx (+ (* (- (- (/ 2 maxCos) 1) (/ 1 (* maxCos maxCos))) ux) (/ 2 (* maxCos maxCos))) (/.f32 (-.f32 #s(literal 2 binary32) ux) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos)) (*.f32 maxCos maxCos)) ux)))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))))
(if (<=.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 14534169/68719476736 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (+.f32 (-.f32 ux (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))))
(if (<=.f32 (*.f32 #s(literal 2 binary32) uy) #s(literal 14534169/68719476736 binary32)) (*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (-.f32 (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) maxCos) ux)))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))))
(if (<=.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 14534169/68719476736 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))) (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux)))))))
(if (<=.f32 (*.f32 #s(literal 2 binary32) uy) #s(literal 14534169/68719476736 binary32)) (*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (/.f32 (+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 (*.f32 ux ux) (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)))))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))))
(if (<=.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 13743895/68719476736 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (/.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux)))))))
(if (<=.f32 (*.f32 #s(literal 2 binary32) uy) #s(literal 13743895/68719476736 binary32)) (*.f32 (sqrt.f32 (-.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (/.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 (*.f32 ux ux) (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)))))) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))))
(if (<=.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 13743895/68719476736 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (/.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))))))
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(if (<=.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 5368709/2147483648 binary32)) (*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (/.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (neg ux) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) 1) (+ (* maxCos ux) (- 1 ux)))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 ux #s(literal 2 binary32)))))))
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(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (/.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 (sqrt.f32 (-.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (- 1 ux))) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (/.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
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(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))) #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))

soundness1.9s (15.6%)

Memory
-57.2MiB live, 1 197.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066435
0114371
1471359
23999359
08457355
093614793
1316713664
0849313122
063414
0109364
1390348
23251340
08186322
01675
02757
110357
284357
0921853
049813664
1164112762
2600312119
0835611495
04192987
113692839
252502658
082292533
0107815476
1372313728
0813313166
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 2 593 to 1 350 computations (47.9% saved)

preprocess158.0ms (1.3%)

Memory
-4.8MiB live, 152.3MiB allocated
Remove

(negabs uy)

Compiler

Compiled 2 182 to 904 computations (58.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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