UniformSampleCone, x

Time bar (total: 9.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze225.0ms (2.3%)

Memory
9.8MiB live, 246.5MiB 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)

sample1.9s (19.6%)

Memory
123.0MiB live, 2 037.4MiB allocated
Samples
1.4s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-sub: 344.0ms (30.6% of total)
ival-mult: 210.0ms (18.7% of total)
const: 170.0ms (15.1% of total)
ival-cosu: 128.0ms (11.4% of total)
ival-<=: 128.0ms (11.4% of total)
ival-sqrt: 62.0ms (5.5% of total)
ival-add: 39.0ms (3.5% of total)
ival-and: 29.0ms (2.6% of total)
exact: 10.0ms (0.9% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain261.0ms (2.6%)

Memory
-96.2MiB live, 354.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1919(0.0029485491104424 7.103327259727621e-9 7.326089264979575e-38)2(0.005179062485694885 0.018270306289196014 3.6829117281036683e-31)(-.f32 #s(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(5.328572583174207e-10 0.7342624664306641 2.0514790063459065e-27)(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
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 (cos.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-(+.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))))cancellation19812
cos.f32(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))sensitivity11
Confusion
Predicted +Predicted -
+1963
-255
Precision
0.98989898989899
Recall
0.9849246231155779
Confusion?
Predicted +Predicted MaybePredicted -
+19630
-2946
Precision?
0.9476190476190476
Recall?
1.0
Freqs
test
numberfreq
058
1197
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
109.0ms510×0valid
0.0ms1valid
Compiler

Compiled 245 to 52 computations (78.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-mult: 42.0ms (66.4% of total)
ival-cosu: 8.0ms (12.7% of total)
ival-sub: 4.0ms (6.3% of total)
ival-sqrt: 3.0ms (4.7% of total)
ival-pi: 2.0ms (3.2% of total)
ival-add: 2.0ms (3.2% of total)
exact: 1.0ms (1.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess246.0ms (2.5%)

Memory
35.2MiB live, 169.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064238
1230232
2836232
32868232
46811228
01625
02725
15925
216325
353325
4149225
5343125
6761625
0805922
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f32 (cos.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 (cos.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 (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))) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
Symmetry

(abs uy)

Compiler

Compiled 25 to 16 computations (36% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.7%
(*.f32 (cos.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)

simplify204.0ms (2.1%)

Memory
-6.7MiB live, 262.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff0
(*.f32 (cos.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-diff1
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff1
(-.f32 #s(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
159108
2163108
3533108
41492108
53431108
67616108
0805996
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (cos.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))))))
(cos.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 (cos.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 (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))) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(cos.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 (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 (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

localize84.0ms (0.8%)

Memory
-13.7MiB live, 92.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.14453125
(*.f32 (cos.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))))))
accuracy0.30859375
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.44921875
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy13.08797032170482
(-.f32 #s(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
45.0ms255×0valid
0.0ms1valid
Compiler

Compiled 110 to 18 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 24.0ms (68% of total)
ival-cosu: 4.0ms (11.3% of total)
ival-sub: 2.0ms (5.7% of total)
ival-sqrt: 2.0ms (5.7% of total)
ival-pi: 1.0ms (2.8% of total)
ival-add: 1.0ms (2.8% 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)

series20.0ms (0.2%)

Memory
31.8MiB live, 31.8MiB allocated
Counts
6 → 73
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 (cos.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))))))
(cos.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
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
1
(+ 1 (* ux (- maxCos 1)))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(+ 1 (* ux (- (* 2 maxCos) 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))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 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))))
(* -1 (* (pow ux 2) (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 (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 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)))
(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4))))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* 2 (* uy (PI)))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(cos (* 2 (* uy (PI))))
(- 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 ux)
(- (+ 1 (* maxCos ux)) ux)
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 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)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 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 (* (* (cos (* 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)))))))))) (* (cos (* 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))
(* -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)))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 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) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
Calls

9 calls:

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

simplify179.0ms (1.8%)

Memory
-23.6MiB live, 198.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04062229
114172116
262622098
080821994
Stop Event
iter limit
node limit
Counts
73 → 73
Calls
Call 1
Inputs
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
1
(+ 1 (* ux (- maxCos 1)))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(+ 1 (* ux (- (* 2 maxCos) 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))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 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))))
(* -1 (* (pow ux 2) (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 (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 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)))
(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4))))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* 2 (* uy (PI)))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(cos (* 2 (* uy (PI))))
(- 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 ux)
(- (+ 1 (* maxCos ux)) ux)
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 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)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 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 (* (* (cos (* 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)))))))))) (* (cos (* 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))
(* -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)))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 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) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
Outputs
(* 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)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #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)))) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)))) (*.f32 ux ux) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
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(+ 1 (* ux (- (* 2 maxCos) 2)))
(fma.f32 (-.f32 (*.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)))
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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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(* 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 (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
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(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
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(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
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(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
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(* (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))))
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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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(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 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)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
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(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) maxCos))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)))
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(*.f32 (neg.f32 ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (neg.f32 ux) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
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(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
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(* (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)))
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(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
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(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))
(*.f32 (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))
(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 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) uy) uy (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (*.f32 uy uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 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 (*.f32 (*.f32 uy uy) (*.f32 uy uy)) (*.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 -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 uy uy) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))))))
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) uy) uy (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 uy uy) #s(literal 1 binary32))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32) (*.f32 (fma.f32 (*.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 uy uy) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))) (*.f32 uy uy))) (*.f32 uy uy) #s(literal 1 binary32))
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
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(cos (* 2 (* uy (PI))))
(cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) 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))
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(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
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(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
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(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (*.f32 (neg.f32 ux) maxCos) (*.f32 (-.f32 #s(literal 1 binary32) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (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)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 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)))))))) (* (cos (* 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 (fma.f32 (/.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 ux ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (neg.f32 ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 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 (* (* (cos (* 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)))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (*.f32 maxCos #s(literal -1/2 binary32)) (*.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 (fma.f32 (/.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 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (*.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 (fma.f32 (/.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 ux ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (neg.f32 ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) 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 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32) (*.f32 (*.f32 maxCos ux) 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 (*.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 ux ux (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (-.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)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (fma.f32 (cos.f32 (fma.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy) (PI.f32))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) maxCos)
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (-.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)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) maxCos)) (sqrt.f32 #s(literal -1 binary32)))) maxCos)
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (cos.f32 (fma.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy) (PI.f32))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 1/2 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 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos) #s(literal 3 binary32)) (*.f32 ux ux)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.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 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))) maxCos)
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 (*.f32 maxCos ux) ux) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) maxCos) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 ux ux (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (-.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 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) ux)) ux (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (neg.f32 maxCos))) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (-.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (neg.f32 maxCos))
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 ux) maxCos) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (cos.f32 (fma.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy) (PI.f32))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (-.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)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 maxCos ux))) (sqrt.f32 #s(literal -1 binary32))) (neg.f32 maxCos))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) 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))) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (neg.f32 ux) (sqrt.f32 #s(literal -1 binary32))) 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))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) maxCos)) (neg.f32 maxCos))) (neg.f32 maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (fma.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)) (neg.f32 maxCos))) (*.f32 maxCos maxCos))

rewrite195.0ms (2%)

Memory
26.3MiB live, 317.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01675
02754
111554
298754
0865350
Stop Event
iter limit
node limit
iter limit
Counts
6 → 494
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 (cos.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))))))
(cos.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
(/.f32 (-.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 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))) (pow.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 2 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 (-.f32 (*.f32 (/.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)))) (/.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))))) (*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) (-.f32 #s(literal 1 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 4 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(/.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 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(/.f32 (-.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 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))) (pow.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 2 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)))
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(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos ux) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (*.f32 (neg.f32 ux) maxCos))))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (neg.f32 (*.f32 (neg.f32 ux) maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.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 maxCos ux) (fma.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)))
(fma.f32 maxCos (*.f32 ux (fma.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)))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (*.f32 (neg.f32 ux) maxCos))))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 (*.f32 (neg.f32 ux) maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.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))
(fma.f32 ux (*.f32 maxCos (fma.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)))
(fma.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 1 binary32))))
(fma.f32 #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))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(fma.f32 #s(literal 1 binary32) (*.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))))
(fma.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(pow.f32 (exp.f32 (log.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(literal 2 binary32))
(pow.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))
(pow.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 2 binary32))
(fabs.f32 (*.f32 (-.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))
(fabs.f32 (*.f32 (-.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(fabs.f32 (*.f32 (-.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(fabs.f32 (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))
(fabs.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))
(fabs.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(fabs.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))
(+.f32 (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (neg.f32 (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) maxCos)))
(+.f32 (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) maxCos)) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (neg.f32 (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 1 binary32))))
(+.f32 (*.f32 #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)))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(+.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (fma.f32 (*.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))
(+.f32 (neg.f32 (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux))) (neg.f32 (*.f32 (*.f32 (neg.f32 ux) maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(+.f32 (neg.f32 (*.f32 (*.f32 (neg.f32 ux) maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (neg.f32 (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (/.f32 (pow.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 3 binary32)) (+.f32 (pow.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 2 binary32)) (*.f32 (*.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 (pow.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 3 binary32)) (+.f32 (pow.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 2 binary32)) (*.f32 (*.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 (cosh.f32 (log.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (sinh.f32 (log.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))
(+.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 1 binary32)))
(+.f32 (*.f32 #s(literal 1 binary32) (*.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 (*.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(+.f32 (*.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)) (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (*.f32 (neg.f32 ux) maxCos))))
(+.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 (*.f32 (neg.f32 ux) maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (*.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))
(exp.f32 (*.f32 (log.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(literal 2 binary32)))
(exp.f32 (log.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(neg.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) #s(literal 2 binary32)) uy))
(*.f32 (neg.f32 (*.f32 #s(literal -2 binary32) uy)) (PI.f32))
(*.f32 (neg.f32 (neg.f32 uy)) (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 #s(literal -2 binary32) uy) (neg.f32 (PI.f32)))
(*.f32 (neg.f32 uy) (*.f32 #s(literal -2 binary32) (PI.f32)))
(*.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal -2 binary32) uy))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (PI.f32) (neg.f32 (*.f32 #s(literal -2 binary32) uy)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))
(*.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32)))
(*.f32 uy (neg.f32 (*.f32 #s(literal -2 binary32) (PI.f32))))
(*.f32 uy (*.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (PI.f32) uy (*.f32 (PI.f32) uy))
(fma.f32 (*.f32 #s(literal 2 binary32) uy) (cosh.f32 (log.f32 (PI.f32))) (*.f32 (*.f32 #s(literal 2 binary32) uy) (sinh.f32 (log.f32 (PI.f32)))))
(fma.f32 uy (PI.f32) (*.f32 uy (PI.f32)))
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (cosh.f32 (log.f32 (PI.f32)))) (*.f32 (*.f32 #s(literal 2 binary32) uy) (sinh.f32 (log.f32 (PI.f32)))))
(+.f32 (*.f32 uy (PI.f32)) (*.f32 uy (PI.f32)))
(+.f32 (*.f32 (PI.f32) uy) (*.f32 (PI.f32) uy))
(neg.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))

eval148.0ms (1.5%)

Memory
6.6MiB live, 242.4MiB allocated
Compiler

Compiled 35 115 to 3 649 computations (89.6% saved)

prune47.0ms (0.5%)

Memory
15.5MiB live, 109.6MiB allocated
Pruning

38 alts after pruning (38 fresh and 0 done)

PrunedKeptTotal
New63338671
Fresh000
Picked101
Done000
Total63438672
Accuracy
86.3%
Counts
672 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.7%
(fma.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) #s(literal 0 binary32)) (*.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) #s(literal 1 binary32))))
14.9%
(/.f32 (+.f32 (sin.f32 (-.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) (sin.f32 (+.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))) #s(literal 2 binary32))
14.2%
(/.f32 (+.f32 (sin.f32 (-.f32 (acos.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sin.f32 (+.f32 (acos.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))) #s(literal 2 binary32))
24.0%
(/.f32 (+.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (cos.f32 (-.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) #s(literal 2 binary32))
19.8%
(/.f32 (+.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (asin.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) (cos.f32 (-.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)) (asin.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) #s(literal 2 binary32))
23.9%
(/.f32 (+.f32 (cos.f32 (-.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) (cos.f32 (+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))) #s(literal 2 binary32))
50.9%
(*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (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))))))
42.1%
(*.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
51.0%
(*.f32 (cos.f32 (fma.f32 (*.f32 #s(literal 2 binary32) uy) (cosh.f32 (log.f32 (PI.f32))) (*.f32 (*.f32 #s(literal 2 binary32) uy) (sinh.f32 (log.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))))))
51.0%
(*.f32 (cos.f32 (fma.f32 uy (PI.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))))))
57.6%
(*.f32 (cos.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)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
57.7%
(*.f32 (cos.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (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))))))
17.5%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))))
7.2%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32) #s(literal 1 binary32))))
41.2%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1 binary32)))))
41.8%
(*.f32 (cos.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))))
42.4%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.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 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
57.9%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (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))))))
58.0%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
41.2%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
57.8%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))))
57.8%
(*.f32 (cos.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))))))
40.1%
(*.f32 (cos.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 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))))
55.4%
(*.f32 (cos.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))))))
58.7%
(*.f32 (cos.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))))))
57.4%
(*.f32 (cos.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))))))
26.8%
(*.f32 (cos.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)) #s(literal 1 binary32))))))
41.3%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))))))
7.0%
(*.f32 (cos.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))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
18.5%
(*.f32 (cos.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 (fma.f32 ux ux (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (-.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))))))
42.9%
(*.f32 (cos.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 (fma.f32 #s(literal 2 binary32) maxCos (/.f32 #s(literal 1 binary32) ux)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))))))
44.6%
(*.f32 (cos.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 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))))))
20.6%
(*.f32 (cos.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 maxCos ux) ux) maxCos)))))
1.9%
(*.f32 (cos.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 #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))))
57.5%
(*.f32 (cos.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 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
69.8%
(*.f32 (cos.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 #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)))))
50.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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))))))
48.6%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
Compiler

Compiled 2 500 to 1 568 computations (37.3% saved)

simplify97.0ms (1%)

Memory
-5.0MiB live, 93.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff1
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff1
(-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))
cost-diff1
(-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
cost-diff3
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))
cost-diff0
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
cost-diff0
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff0
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32) #s(literal 1 binary32))))
cost-diff1
(fma.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32) #s(literal 1 binary32))
cost-diff0
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff0
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))))
cost-diff1
(-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))
cost-diff5
(*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))
cost-diff0
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
cost-diff0
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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-diff1
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff5
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
cost-diff0
(*.f32 uy #s(literal 2 binary32))
cost-diff0
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
cost-diff0
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff0
(*.f32 (cos.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 #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
065815
0114736
1228729
2632715
32410715
08282697
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (cos.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 #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)))))
(cos.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 (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 (*.f32 uy uy) #s(literal -2 binary32))
(*.f32 uy uy)
uy
#s(literal -2 binary32)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#s(literal 1 binary32)
(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))))
(*.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 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))))
(cos.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 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))))
(-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))
#s(literal 1 binary32)
(*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))
(-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))
(-.f32 ux (*.f32 maxCos ux))
ux
(*.f32 maxCos ux)
maxCos
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32) #s(literal 1 binary32))))
(cos.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 (fma.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32) #s(literal 1 binary32)))
(fma.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32) #s(literal 1 binary32))
(pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
maxCos
ux
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(cos.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 (sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
#s(literal 1 binary32)
(*.f32 (/.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(/.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))))
(sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))))
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
maxCos
ux
(-.f32 #s(literal 1 binary32) ux)
(-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))
(*.f32 maxCos ux)
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))
(-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(*.f32 ux maxCos)
Outputs
(*.f32 (cos.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 #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)))))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))
(*.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 (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32))
(*.f32 (*.f32 uy uy) #s(literal -2 binary32))
(*.f32 uy uy)
uy
#s(literal -2 binary32)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#s(literal 1 binary32)
(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 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 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))))
(-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 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 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))
(*.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 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #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)))
#s(literal 1 binary32)
(*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))
(pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))
(-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))
(-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))
(-.f32 ux (*.f32 maxCos ux))
ux
(*.f32 maxCos ux)
maxCos
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))
(*.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 (fma.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32) #s(literal 1 binary32)))
(sqrt.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(fma.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 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))
(pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
maxCos
ux
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 (sqrt.f32 (fma.f32 (/.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) #s(literal 1 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))
(*.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 #s(literal 1 binary32) (*.f32 (/.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(sqrt.f32 (fma.f32 (/.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(fma.f32 (/.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (/.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(*.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))
(/.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))))
(/.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))
(sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))))
(sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
maxCos
ux
(-.f32 #s(literal 1 binary32) ux)
(-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))
(*.f32 maxCos ux)
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))
(-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))
(-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(*.f32 ux maxCos)
(*.f32 maxCos ux)

localize170.0ms (1.7%)

Memory
7.6MiB live, 245.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.43359375
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
accuracy0.44921875
(*.f32 (/.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy0.7446294131090235
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
accuracy13.08797032170482
(-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
accuracy0.30859375
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.44921875
(pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))
accuracy22.820098833221213
(fma.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32) #s(literal 1 binary32))
accuracy28.91351458831423
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
accuracy0.14453125
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))))
accuracy0.30859375
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.44921875
(*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))
accuracy13.08797032170482
(-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))
accuracy1.0
(*.f32 (PI.f32) (PI.f32))
accuracy3.211025896906581
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
accuracy13.08797032170482
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
accuracy28.379269698461933
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
accuracy0.14453125
(*.f32 (cos.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 #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)))))
accuracy0.30859375
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.3545112793053261
(*.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))
accuracy2.392675728495496
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
Samples
108.0ms254×0valid
1.0ms1valid
Compiler

Compiled 765 to 57 computations (92.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-mult: 26.0ms (30.4% of total)
ival-sub: 17.0ms (19.9% of total)
ival-add: 16.0ms (18.7% of total)
ival-pow2: 9.0ms (10.5% of total)
ival-sqrt: 9.0ms (10.5% of total)
ival-cosu: 4.0ms (4.7% of total)
ival-div: 3.0ms (3.5% of total)
ival-pi: 1.0ms (1.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series85.0ms (0.9%)

Memory
-5.6MiB live, 140.3MiB allocated
Counts
26 → 261
Calls
Call 1
Inputs
(*.f32 (cos.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 #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)))))
(cos.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))
(*.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(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))
(-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))))
(fma.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32) #s(literal 1 binary32))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32) #s(literal 1 binary32))))
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))
(-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))
(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))
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #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))))
(*.f32 (PI.f32) (PI.f32))
(-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
Outputs
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 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 (- maxCos 1)))
(+ 1 (* -2 (* ux (- 1 maxCos))))
(+ 1 (* ux (+ (* -2 (- 1 maxCos)) (* ux (pow (- 1 maxCos) 2)))))
-1
(- (* ux (- 1 maxCos)) 1)
(* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2)))
(+ (* -1/2 (* (sqrt (* (pow ux 3) (pow (- 1 maxCos) 3))) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))))
(+ (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/8 (* (sqrt (* ux (pow (- 1 maxCos) 5))) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))))))
(+ (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ (pow (- 1 maxCos) 5) (pow ux 3))) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (* -1/16 (* (sqrt (/ (pow (- 1 maxCos) 7) ux)) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 5)))))))))
2
(+ 2 (* ux (- (* 2 maxCos) 2)))
(+ 2 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(* (cos (* 2 (* uy (PI)))) (sqrt 2))
(+ (* 1/2 (/ (* ux (* (cos (* 2 (* uy (PI)))) (- (* 2 maxCos) 2))) (sqrt 2))) (* (cos (* 2 (* uy (PI)))) (sqrt 2)))
(+ (* ux (+ (* 1/2 (/ (* ux (* (cos (* 2 (* uy (PI)))) (- (pow (- maxCos 1) 2) (* 1/4 (/ (pow (- (* 2 maxCos) 2) 2) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* 2 maxCos) 2)) (sqrt 2))))) (* (cos (* 2 (* uy (PI)))) (sqrt 2)))
(+ (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* 2 maxCos) 2)) (sqrt 2))) (* ux (+ (* -1/4 (/ (* ux (* (cos (* 2 (* uy (PI)))) (* (- (* 2 maxCos) 2) (- (pow (- maxCos 1) 2) (* 1/4 (/ (pow (- (* 2 maxCos) 2) 2) (pow (sqrt 2) 2))))))) (pow (sqrt 2) 3))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (pow (- maxCos 1) 2) (* 1/4 (/ (pow (- (* 2 maxCos) 2) 2) (pow (sqrt 2) 2))))) (sqrt 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt 2)))
(+ 1 (* ux (- maxCos 3)))
(+ 1 (* ux (- (+ maxCos (* ux (- (+ 1 (* -2 (- maxCos 1))) (pow maxCos 2)))) 3)))
(+ 1 (* ux (- (+ maxCos (* ux (- (+ 1 (+ (* -2 (- maxCos 1)) (* ux (* (- 1 (pow maxCos 2)) (- maxCos 1))))) (pow maxCos 2)))) 3)))
(* -1/2 (* ux (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos))))))
(* ux (- (* -1/2 (* ux (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2)))))) (* 1/2 (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))))
(* ux (- (* ux (- (* -1/2 (* ux (- (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ (* -1 (* (+ 1 maxCos) (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (pow maxCos 2))))) (* 1/2 (* (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2)))) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))))))) (* 1/2 (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2))))))) (* 1/2 (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))))
(* ux (- (* ux (- (* ux (- (* -1/2 (* ux (- (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (* -1 (* (+ 1 maxCos) (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (pow maxCos 2)))))))) (+ (* 1/4 (pow (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2)))) 2)) (* 1/2 (* (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) (- (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ (* -1 (* (+ 1 maxCos) (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (pow maxCos 2))))) (* 1/2 (* (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2)))) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos))))))))))))))) (* 1/2 (- (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ (* -1 (* (+ 1 maxCos) (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (pow maxCos 2))))) (* 1/2 (* (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2)))) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos))))))))))) (* 1/2 (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2))))))) (* 1/2 (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))))
(+ 1 (* -1 (* ux (+ 1 maxCos))))
(* ux (+ 2 (* -2 maxCos)))
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* 2 (* ux (- 1 maxCos)))
(* ux (- (* -1 (* ux (pow (- 1 maxCos) 2))) (* -2 (- 1 maxCos))))
(+ 1 (* 1/2 (* ux (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))))
(+ 1 (* ux (+ (* 1/2 (* ux (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2)))))) (* 1/2 (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos))))))))
(+ 1 (* ux (+ (* 1/2 (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos))))) (* ux (+ (* 1/2 (* ux (- (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ (* -1 (* (+ 1 maxCos) (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (pow maxCos 2))))) (* 1/2 (* (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2)))) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))))))) (* 1/2 (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2))))))))))
(+ 1 (* -2 ux))
(+ 1 (* ux (- ux 2)))
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 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))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* (pow ux 2) (pow (- 1 maxCos) 2))
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (+ (/ 1 (pow ux 2)) (pow (- 1 maxCos) 2))))
(* ux (- 1 maxCos))
(* ux (- 1 (+ maxCos (/ 1 ux))))
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))))
(* ux (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1)))))
(* ux (+ (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1))))))
(* ux (+ (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* 1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- 1 maxCos) 2))))) (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1)))))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 2 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* ux (* (cos (* 2 (* uy (PI)))) (- maxCos 1)))
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* 2 maxCos) 2)) (* ux (- maxCos 1)))) (* (cos (* 2 (* uy (PI)))) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 1/4 (/ (pow (- (* 2 maxCos) 2) 2) (pow (- maxCos 1) 2))))) (* (pow ux 2) (- maxCos 1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* 2 maxCos) 2)) (* ux (- maxCos 1)))) (* (cos (* 2 (* uy (PI)))) (- maxCos 1)))))
(* ux (+ (* -1/4 (/ (* (cos (* 2 (* uy (PI)))) (* (- 2 (* 1/4 (/ (pow (- (* 2 maxCos) 2) 2) (pow (- maxCos 1) 2)))) (- (* 2 maxCos) 2))) (* (pow ux 3) (pow (- maxCos 1) 3)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 1/4 (/ (pow (- (* 2 maxCos) 2) 2) (pow (- maxCos 1) 2))))) (* (pow ux 2) (- maxCos 1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* 2 maxCos) 2)) (* ux (- maxCos 1)))) (* (cos (* 2 (* uy (PI)))) (- maxCos 1))))))
(* (pow ux 3) (* (- 1 (pow maxCos 2)) (- maxCos 1)))
(* (pow ux 3) (- (+ (* -2 (/ (- maxCos 1) ux)) (+ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (/ 1 ux))) (/ (pow maxCos 2) ux)))
(* (pow ux 3) (- (+ (* -2 (/ (- maxCos 1) ux)) (+ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ (/ 1 ux) (/ maxCos (pow ux 2))))) (+ (/ 3 (pow ux 2)) (/ (pow maxCos 2) ux))))
(* (pow ux 3) (- (+ (* -2 (/ (- maxCos 1) ux)) (+ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ (/ 1 ux) (+ (/ 1 (pow ux 3)) (/ maxCos (pow ux 2)))))) (+ (/ 3 (pow ux 2)) (/ (pow maxCos 2) ux))))
(* -1 (* (* (pow ux 2) (sqrt -1)) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos)))))
(* (pow ux 2) (- (* -1/2 (* (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (* ux (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (* (sqrt -1) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos))))))
(* (pow ux 2) (- (/ 1 (pow ux 2)) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) 2)) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (* (pow ux 2) (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (* ux (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (* (sqrt -1) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos))))))))
(* (pow ux 2) (- (+ (* -1/2 (* (/ (- (* -1 (/ (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (pow maxCos 2)) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos)))) (+ 1 maxCos))) (* 1/2 (/ (* (+ 1 maxCos) (* (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) 2)) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))))) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (* (pow ux 3) (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (/ 1 (pow ux 2))) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) 2)) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (* (pow ux 2) (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (* ux (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (* (sqrt -1) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos))))))))
(* -1 (* ux (+ 1 maxCos)))
(* ux (- (/ 1 ux) (+ 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 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* -1 (* (pow ux 2) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (- (* 2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2)))
(* (* (pow ux 2) (sqrt -1)) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos))))
(* (pow ux 2) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (* ux (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (* (sqrt -1) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos))))))
(* (pow ux 2) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) 2)) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (* (pow ux 2) (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (* ux (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (* (sqrt -1) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos)))))))
(* (pow ux 2) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) 2)) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (* (pow ux 2) (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (* ux (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (- (* -1 (/ (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (pow maxCos 2)) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos)))) (+ 1 maxCos))) (* 1/2 (/ (* (+ 1 maxCos) (* (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) 2)) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))))) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (* (pow ux 3) (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (* (sqrt -1) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos))))))))
(pow ux 2)
(* (pow ux 2) (- 1 (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 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)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* ux (+ 1 (* -1 maxCos)))
(* -1 (* ux (- (/ 1 ux) (+ 1 (* -1 maxCos)))))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (* 2 (/ 1 ux))) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (+ 1 (* -1 maxCos)))))
(* -1 (* ux (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (+ 1 (* -1 maxCos))))) (* (cos (* 2 (* uy (PI)))) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 1/4 (/ (pow (+ 2 (* -2 maxCos)) 2) (pow (+ 1 (* -1 maxCos)) 2))))) (* ux (+ 1 (* -1 maxCos))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (+ 1 (* -1 maxCos))))) ux)) (* (cos (* 2 (* uy (PI)))) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (cos (* 2 (* uy (PI)))) (* (+ 2 (* -2 maxCos)) (- 2 (* 1/4 (/ (pow (+ 2 (* -2 maxCos)) 2) (pow (+ 1 (* -1 maxCos)) 2)))))) (* ux (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 1/4 (/ (pow (+ 2 (* -2 maxCos)) 2) (pow (+ 1 (* -1 maxCos)) 2))))) (+ 1 (* -1 maxCos))))) ux)) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (+ 1 (* -1 maxCos))))) ux)) (* (cos (* 2 (* uy (PI)))) (+ 1 (* -1 maxCos))))))
(* -1 (* (pow ux 3) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2)))))
(* -1 (* (pow ux 3) (+ (* -1 (/ (- (+ 1 (* 2 (+ 1 (* -1 maxCos)))) (pow maxCos 2)) ux)) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))))))
(* -1 (* (pow ux 3) (+ (* -1 (/ (- (+ 1 (+ (* -1 (/ (+ 3 (* -1 maxCos)) ux)) (* 2 (+ 1 (* -1 maxCos))))) (pow maxCos 2)) ux)) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))))))
(* -1 (* (pow ux 3) (+ (* -1 (/ (- (+ 1 (+ (* -1 (/ (- (+ 3 (* -1 maxCos)) (/ 1 ux)) ux)) (* 2 (+ 1 (* -1 maxCos))))) (pow maxCos 2)) ux)) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))))))
(* -1 (* (pow ux 2) (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))))))
(* (pow ux 2) (- (* 1/2 (* (/ (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) ux) (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))))) (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))))))
(* (pow ux 2) (- (* -1 (/ (- (* -1 (/ (- 1 (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (* -1 maxCos)))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) 2)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))))) ux)) (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))) ux)) (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))))))
(* (pow ux 2) (- (* -1 (/ (- (* -1 (/ (- (+ 1 (* 1/2 (* (/ (- (+ (* 2 (/ (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (* -1 maxCos)))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 3))) (+ (/ 1 (- 1 (* -1 maxCos))) (+ (/ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (- 1 (* -1 maxCos))) (+ (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 2) (- 1 (* -1 maxCos)))))))) (+ (* 1/2 (/ (* (- 1 (* -1 maxCos)) (* (- (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (* -1 maxCos)))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) 2)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))))) (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))))) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (pow (- 1 (* -1 maxCos)) 2))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 4)) (+ (/ (pow maxCos 2) (- 1 (* -1 maxCos))) (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2)))))))) ux) (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2)))))))) (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (* -1 maxCos)))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) 2)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))))) ux)) (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))) ux)) (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))))))
(* -1 (* ux (- 1 (* -1 maxCos))))
(* -1 (* ux (- 1 (+ (* -1 maxCos) (/ 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) (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))))
(* (pow ux 2) (+ (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (* -1/2 (* (/ (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) ux) (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2)))))))))
(* (pow ux 2) (+ (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (* -1 (/ (+ (* -1/2 (* (/ (- (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (* -1 maxCos)))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) 2)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))))) ux) (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))))) (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))) ux))))
(* (pow ux 2) (+ (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (- (+ (* 2 (/ (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (* -1 maxCos)))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 3))) (+ (/ 1 (- 1 (* -1 maxCos))) (+ (/ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (- 1 (* -1 maxCos))) (+ (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 2) (- 1 (* -1 maxCos)))))))) (+ (* 1/2 (/ (* (- 1 (* -1 maxCos)) (* (- (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (* -1 maxCos)))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) 2)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))))) (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))))) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (pow (- 1 (* -1 maxCos)) 2))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 4)) (+ (/ (pow maxCos 2) (- 1 (* -1 maxCos))) (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2)))))))) ux) (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))))) (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (* -1 maxCos)))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) 2)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))))) ux)) (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))) ux))))
(* (pow ux 2) (+ 1 (* -1 (/ (- 2 (/ 1 ux)) ux))))
(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4))))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* 2 (* uy (PI)))
(* 2 uy)
(sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))))
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))))))
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))))))))
(sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))
(+ (sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))
(+ (sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))
(+ (sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(cos (* 2 (* uy (PI))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))
(* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* -2 (* (pow uy 2) (pow (PI) 2)))
(* (pow uy 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow uy 2))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 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)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 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 (* (* (cos (* 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)))))))))) (* (cos (* 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))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(pow (- ux 1) 2)
(+ (* -2 (* maxCos (* ux (- ux 1)))) (pow (- ux 1) 2))
(+ (* maxCos (+ (* -2 (* ux (- ux 1))) (* maxCos (pow ux 2)))) (pow (- ux 1) 2))
(- ux 1)
(- (+ ux (* -1 (* maxCos ux))) 1)
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))
(+ (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))) (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))))
(+ (* maxCos (+ (* maxCos (+ (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* 1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (- ux 1))))) (sqrt (/ 1 (pow (- 1 (pow (- ux 1) 2)) 3))))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))))
(+ 1 (pow (- 1 ux) 2))
(+ 1 (+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2)))
(+ 1 (+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2)))
(* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (pow (- 1 ux) 2))))
(+ (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (pow (- 1 ux) 2)))) (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (+ 1 (pow (- 1 ux) 2))))))
(+ (* maxCos (+ (* 1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (- (pow ux 2) (/ (* (pow ux 2) (pow (- 1 ux) 2)) (+ 1 (pow (- 1 ux) 2)))))) (sqrt (/ 1 (+ 1 (pow (- 1 ux) 2)))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (+ 1 (pow (- 1 ux) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- (pow ux 2) (/ (* (pow ux 2) (pow (- 1 ux) 2)) (+ 1 (pow (- 1 ux) 2)))))))) (sqrt (/ 1 (pow (+ 1 (pow (- 1 ux) 2)) 3))))) (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (- (pow ux 2) (/ (* (pow ux 2) (pow (- 1 ux) 2)) (+ 1 (pow (- 1 ux) 2))))) (sqrt (/ 1 (+ 1 (pow (- 1 ux) 2)))))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (+ 1 (pow (- 1 ux) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (pow (- 1 ux) 2)))))
(pow (- 1 ux) 3)
(+ (* maxCos (* ux (pow (- 1 ux) 2))) (pow (- 1 ux) 3))
(+ (* maxCos (+ (* -1 (* maxCos (* (pow ux 2) (- 1 ux)))) (* ux (pow (- 1 ux) 2)))) (pow (- 1 ux) 3))
(+ (* maxCos (+ (* maxCos (+ (* -1 (* maxCos (pow ux 3))) (* -1 (* (pow ux 2) (- 1 ux))))) (* ux (pow (- 1 ux) 2)))) (pow (- 1 ux) 3))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -1/2 (/ (* maxCos (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (pow (- 1 ux) 2)))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1/2 (/ (* maxCos (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (+ (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))) (* 1/4 (/ (pow (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) 2) (pow (- 1 ux) 4)))))) (pow (- 1 ux) 2))) (* 1/2 (/ (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) (pow (- 1 ux) 2)))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* maxCos (- (* -1/2 (/ (* maxCos (- (+ (* -1 (/ (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2)))) (- 1 ux))) (* (pow ux 3) (- 1 ux))) (+ (* -1 (/ (* ux (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))))) (- 1 ux))) (* 1/2 (/ (* (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (+ (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))) (* 1/4 (/ (pow (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) 2) (pow (- 1 ux) 4)))))) (pow (- 1 ux) 4)))))) (pow (- 1 ux) 2))) (* 1/2 (/ (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (+ (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))) (* 1/4 (/ (pow (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) 2) (pow (- 1 ux) 4))))) (pow (- 1 ux) 2))))) (* 1/2 (/ (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) (pow (- 1 ux) 2)))))) (pow (- 1 ux) 2))
(- (+ 1 (* -1 (* maxCos ux))) ux)
(+ 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)))
(- (+ 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 (pow (- ux 1) 2))
(- (+ 1 (* 2 (* maxCos (* ux (- ux 1))))) (pow (- ux 1) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* -2 (* ux (- ux 1)))))) (pow (- ux 1) 2))
(+ (* 1/2 (/ (* maxCos (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (pow (- 1 ux) 2))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 1/2 (/ (* maxCos (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (+ (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))) (* 1/4 (/ (pow (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) 2) (pow (- 1 ux) 4)))))) (pow (- 1 ux) 2))) (* 1/2 (/ (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) (pow (- 1 ux) 2))))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 1/2 (/ (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) (pow (- 1 ux) 2))) (* maxCos (+ (* 1/2 (/ (* maxCos (- (+ (* -1 (/ (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2)))) (- 1 ux))) (* (pow ux 3) (- 1 ux))) (+ (* -1 (/ (* ux (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))))) (- 1 ux))) (* 1/2 (/ (* (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (+ (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))) (* 1/4 (/ (pow (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) 2) (pow (- 1 ux) 4)))))) (pow (- 1 ux) 4)))))) (pow (- 1 ux) 2))) (* 1/2 (/ (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (+ (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))) (* 1/4 (/ (pow (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) 2) (pow (- 1 ux) 4))))) (pow (- 1 ux) 2))))))) (pow (- 1 ux) 2))
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 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))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2))))
(* -1 (* maxCos ux))
(* maxCos (- (/ ux maxCos) (+ ux (/ 1 maxCos))))
(* maxCos (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))
(* maxCos (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ 1 (pow maxCos 2)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* maxCos (* ux (cos (* 2 (* uy (PI))))))
(* maxCos (+ (* ux (cos (* 2 (* uy (PI))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) maxCos)))
(* maxCos (+ (* 1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow maxCos 2) ux))) (+ (* ux (cos (* 2 (* uy (PI))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) maxCos))))
(* maxCos (+ (* 1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow maxCos 2) ux))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (/ 1 ux))) (* (pow maxCos 3) ux))) (+ (* ux (cos (* 2 (* uy (PI))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) maxCos)))))
(* -1 (* (pow maxCos 3) (pow ux 3)))
(* (pow maxCos 3) (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) maxCos)) (* -1 (pow ux 3))))
(* (pow maxCos 3) (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) maxCos)) (+ (* -1 (pow ux 3)) (/ (* ux (pow (- 1 ux) 2)) (pow maxCos 2)))))
(* (pow maxCos 3) (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) maxCos)) (+ (* -1 (pow ux 3)) (+ (/ (* ux (pow (- 1 ux) 2)) (pow maxCos 2)) (/ (pow (- 1 ux) 3) (pow maxCos 3))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -1/2 (/ (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) (* maxCos (pow ux 2)))) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 1/2 (/ (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)) (* 1/4 (/ (pow (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) 2) (pow ux 4))))) (* (pow maxCos 2) (pow ux 2)))) (+ (* 1/2 (/ (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) (* maxCos (pow ux 2)))) (pow ux 2)))))
(* (pow maxCos 2) (- (+ (* -1/2 (/ (- (* -1 (/ (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 3))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)))) ux)) (* 1/2 (/ (* (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)) (* 1/4 (/ (pow (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) 2) (pow ux 4))))) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) (pow ux 4))))) (* (pow maxCos 3) (pow ux 2)))) (/ 1 (pow maxCos 2))) (+ (* 1/2 (/ (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)) (* 1/4 (/ (pow (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) 2) (pow ux 4))))) (* (pow maxCos 2) (pow ux 2)))) (+ (* 1/2 (/ (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) (* maxCos (pow ux 2)))) (pow ux 2)))))
(* maxCos (- (/ 1 maxCos) (+ ux (/ ux maxCos))))
(* -2 maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 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) (- (* -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) (- (* 2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (+ (* 1/2 (/ (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) (* maxCos (pow ux 2)))) (pow ux 2)))
(* (pow maxCos 2) (+ (* 1/2 (/ (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)) (* 1/4 (/ (pow (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) 2) (pow ux 4))))) (* (pow maxCos 2) (pow ux 2)))) (+ (* 1/2 (/ (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) (* maxCos (pow ux 2)))) (pow ux 2))))
(* (pow maxCos 2) (+ (* 1/2 (/ (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)) (* 1/4 (/ (pow (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) 2) (pow ux 4))))) (* (pow maxCos 2) (pow ux 2)))) (+ (* 1/2 (/ (- (* -1 (/ (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 3))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)))) ux)) (* 1/2 (/ (* (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)) (* 1/4 (/ (pow (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) 2) (pow ux 4))))) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) (pow ux 4))))) (* (pow maxCos 3) (pow ux 2)))) (+ (* 1/2 (/ (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) (* maxCos (pow ux 2)))) (pow ux 2)))))
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- ux 1) 2) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (- (* -1 (/ (- ux 1) maxCos)) (* -1 ux))))
(* -1 (* maxCos (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* ux (sqrt -1))))) maxCos))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (+ 1 (pow (- 1 ux) 2)) maxCos))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (* ux (cos (* 2 (* uy (PI)))))))
(* -1 (* maxCos (+ (* ux (cos (* 2 (* uy (PI))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* maxCos ux)))) maxCos)) (* ux (cos (* 2 (* uy (PI))))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (pow ux 2)))) (* 1/2 (/ (cos (* 2 (* uy (PI)))) ux))) maxCos))) maxCos)) (* ux (cos (* 2 (* uy (PI))))))))
(* -1 (* (pow maxCos 3) (+ (/ (* (pow ux 2) (- 1 ux)) maxCos) (pow ux 3))))
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (/ (* ux (pow (- 1 ux) 2)) maxCos)) maxCos)) (pow ux 3))))
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* -1 (/ (+ (* -1 (* ux (pow (- 1 ux) 2))) (* -1 (/ (pow (- 1 ux) 3) maxCos))) maxCos))) maxCos)) (pow ux 3))))
(* (pow maxCos 2) (- (* 1/2 (/ (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (* maxCos (pow ux 2)))) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (* 1/2 (/ (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (pow (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) 2) (pow ux 4))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux))) (pow ux 2)))) maxCos)) (* 1/2 (/ (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- (+ 1 (* 1/2 (/ (- (+ (* -1 (* ux (pow (- 1 ux) 3))) (/ (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (pow (- 1 ux) 2)) ux)) (+ (* 1/2 (/ (* (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (pow (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) 2) (pow ux 4))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux)))) (pow ux 4))) (/ (* (- 1 ux) (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux))) ux))) (* maxCos (pow ux 2))))) (* 1/2 (/ (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (pow (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) 2) (pow ux 4))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux))) (pow ux 2)))) maxCos)) (* 1/2 (/ (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (- (* -1 (/ (- 1 ux) maxCos)) (* -1 ux))))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* (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 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- ux 1) 2)) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1/2 (/ (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (* maxCos (pow ux 2)))) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (pow (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) 2) (pow ux 4))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux))) (* maxCos (pow ux 2)))) (* 1/2 (/ (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* -1 (* ux (pow (- 1 ux) 3))) (/ (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (pow (- 1 ux) 2)) ux)) (+ (* 1/2 (/ (* (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (pow (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) 2) (pow ux 4))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux)))) (pow ux 4))) (/ (* (- 1 ux) (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux))) ux))) (* maxCos (pow ux 2)))) (* 1/2 (/ (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (pow (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) 2) (pow ux 4))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux))) (pow ux 2)))) maxCos)) (* 1/2 (/ (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2)))
Calls

9 calls:

TimeVariablePointExpression
15.0ms
maxCos
@inf
((* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1)) (- (- ux (* maxCos ux)) 1) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1) (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (* (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 2) (pow (* maxCos ux) 2))) (- 1 (* (/ (sqrt (* (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 2) (pow (* maxCos ux) 2)))) (sqrt (- (- 1 ux) (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos)))) (- (- 1 ux) (* maxCos ux)) (+ (* -2 maxCos) 2) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (PI) (PI)) (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (+ (* maxCos ux) (- 1 ux)) (pow (+ (* maxCos ux) (- 1 ux)) 2) (* (/ (sqrt (* (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 2) (pow (* maxCos ux) 2)))) (sqrt (- (- 1 ux) (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos))) (pow (- 1 ux) 2))
14.0ms
ux
@0
((* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1)) (- (- ux (* maxCos ux)) 1) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1) (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (* (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 2) (pow (* maxCos ux) 2))) (- 1 (* (/ (sqrt (* (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 2) (pow (* maxCos ux) 2)))) (sqrt (- (- 1 ux) (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos)))) (- (- 1 ux) (* maxCos ux)) (+ (* -2 maxCos) 2) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (PI) (PI)) (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (+ (* maxCos ux) (- 1 ux)) (pow (+ (* maxCos ux) (- 1 ux)) 2) (* (/ (sqrt (* (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 2) (pow (* maxCos ux) 2)))) (sqrt (- (- 1 ux) (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos))) (pow (- 1 ux) 2))
11.0ms
ux
@-inf
((* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1)) (- (- ux (* maxCos ux)) 1) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1) (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (* (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 2) (pow (* maxCos ux) 2))) (- 1 (* (/ (sqrt (* (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 2) (pow (* maxCos ux) 2)))) (sqrt (- (- 1 ux) (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos)))) (- (- 1 ux) (* maxCos ux)) (+ (* -2 maxCos) 2) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (PI) (PI)) (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (+ (* maxCos ux) (- 1 ux)) (pow (+ (* maxCos ux) (- 1 ux)) 2) (* (/ (sqrt (* (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 2) (pow (* maxCos ux) 2)))) (sqrt (- (- 1 ux) (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos))) (pow (- 1 ux) 2))
10.0ms
maxCos
@0
((* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1)) (- (- ux (* maxCos ux)) 1) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1) (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (* (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 2) (pow (* maxCos ux) 2))) (- 1 (* (/ (sqrt (* (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 2) (pow (* maxCos ux) 2)))) (sqrt (- (- 1 ux) (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos)))) (- (- 1 ux) (* maxCos ux)) (+ (* -2 maxCos) 2) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (PI) (PI)) (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (+ (* maxCos ux) (- 1 ux)) (pow (+ (* maxCos ux) (- 1 ux)) 2) (* (/ (sqrt (* (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 2) (pow (* maxCos ux) 2)))) (sqrt (- (- 1 ux) (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos))) (pow (- 1 ux) 2))
9.0ms
ux
@inf
((* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1)) (- (- ux (* maxCos ux)) 1) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1) (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (* (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 2) (pow (* maxCos ux) 2))) (- 1 (* (/ (sqrt (* (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 2) (pow (* maxCos ux) 2)))) (sqrt (- (- 1 ux) (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos)))) (- (- 1 ux) (* maxCos ux)) (+ (* -2 maxCos) 2) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (PI) (PI)) (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (+ (* maxCos ux) (- 1 ux)) (pow (+ (* maxCos ux) (- 1 ux)) 2) (* (/ (sqrt (* (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 2) (pow (* maxCos ux) 2)))) (sqrt (- (- 1 ux) (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos))) (pow (- 1 ux) 2))

simplify215.0ms (2.2%)

Memory
16.9MiB live, 248.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0154115785
1540315382
0805614699
Stop Event
iter limit
node limit
Counts
261 → 261
Calls
Call 1
Inputs
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 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 (- maxCos 1)))
(+ 1 (* -2 (* ux (- 1 maxCos))))
(+ 1 (* ux (+ (* -2 (- 1 maxCos)) (* ux (pow (- 1 maxCos) 2)))))
-1
(- (* ux (- 1 maxCos)) 1)
(* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2)))
(+ (* -1/2 (* (sqrt (* (pow ux 3) (pow (- 1 maxCos) 3))) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))))
(+ (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/8 (* (sqrt (* ux (pow (- 1 maxCos) 5))) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))))))
(+ (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ (pow (- 1 maxCos) 5) (pow ux 3))) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (* -1/16 (* (sqrt (/ (pow (- 1 maxCos) 7) ux)) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 5)))))))))
2
(+ 2 (* ux (- (* 2 maxCos) 2)))
(+ 2 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(* (cos (* 2 (* uy (PI)))) (sqrt 2))
(+ (* 1/2 (/ (* ux (* (cos (* 2 (* uy (PI)))) (- (* 2 maxCos) 2))) (sqrt 2))) (* (cos (* 2 (* uy (PI)))) (sqrt 2)))
(+ (* ux (+ (* 1/2 (/ (* ux (* (cos (* 2 (* uy (PI)))) (- (pow (- maxCos 1) 2) (* 1/4 (/ (pow (- (* 2 maxCos) 2) 2) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* 2 maxCos) 2)) (sqrt 2))))) (* (cos (* 2 (* uy (PI)))) (sqrt 2)))
(+ (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* 2 maxCos) 2)) (sqrt 2))) (* ux (+ (* -1/4 (/ (* ux (* (cos (* 2 (* uy (PI)))) (* (- (* 2 maxCos) 2) (- (pow (- maxCos 1) 2) (* 1/4 (/ (pow (- (* 2 maxCos) 2) 2) (pow (sqrt 2) 2))))))) (pow (sqrt 2) 3))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (pow (- maxCos 1) 2) (* 1/4 (/ (pow (- (* 2 maxCos) 2) 2) (pow (sqrt 2) 2))))) (sqrt 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt 2)))
(+ 1 (* ux (- maxCos 3)))
(+ 1 (* ux (- (+ maxCos (* ux (- (+ 1 (* -2 (- maxCos 1))) (pow maxCos 2)))) 3)))
(+ 1 (* ux (- (+ maxCos (* ux (- (+ 1 (+ (* -2 (- maxCos 1)) (* ux (* (- 1 (pow maxCos 2)) (- maxCos 1))))) (pow maxCos 2)))) 3)))
(* -1/2 (* ux (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos))))))
(* ux (- (* -1/2 (* ux (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2)))))) (* 1/2 (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))))
(* ux (- (* ux (- (* -1/2 (* ux (- (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ (* -1 (* (+ 1 maxCos) (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (pow maxCos 2))))) (* 1/2 (* (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2)))) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))))))) (* 1/2 (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2))))))) (* 1/2 (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))))
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(* ux (+ 2 (* -2 maxCos)))
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(+ 1 (* -2 ux))
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(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
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(* (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))))
(* ux (- maxCos 1))
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(* (pow ux 2) (pow (- 1 maxCos) 2))
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (+ (/ 1 (pow ux 2)) (pow (- 1 maxCos) 2))))
(* ux (- 1 maxCos))
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(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))))
(* ux (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1)))))
(* ux (+ (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1))))))
(* ux (+ (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* 1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- 1 maxCos) 2))))) (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1)))))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 2 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* ux (* (cos (* 2 (* uy (PI)))) (- maxCos 1)))
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* 2 maxCos) 2)) (* ux (- maxCos 1)))) (* (cos (* 2 (* uy (PI)))) (- maxCos 1))))
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(* ux (+ (* -1/4 (/ (* (cos (* 2 (* uy (PI)))) (* (- 2 (* 1/4 (/ (pow (- (* 2 maxCos) 2) 2) (pow (- maxCos 1) 2)))) (- (* 2 maxCos) 2))) (* (pow ux 3) (pow (- maxCos 1) 3)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 1/4 (/ (pow (- (* 2 maxCos) 2) 2) (pow (- maxCos 1) 2))))) (* (pow ux 2) (- maxCos 1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* 2 maxCos) 2)) (* ux (- maxCos 1)))) (* (cos (* 2 (* uy (PI)))) (- maxCos 1))))))
(* (pow ux 3) (* (- 1 (pow maxCos 2)) (- maxCos 1)))
(* (pow ux 3) (- (+ (* -2 (/ (- maxCos 1) ux)) (+ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (/ 1 ux))) (/ (pow maxCos 2) ux)))
(* (pow ux 3) (- (+ (* -2 (/ (- maxCos 1) ux)) (+ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ (/ 1 ux) (/ maxCos (pow ux 2))))) (+ (/ 3 (pow ux 2)) (/ (pow maxCos 2) ux))))
(* (pow ux 3) (- (+ (* -2 (/ (- maxCos 1) ux)) (+ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ (/ 1 ux) (+ (/ 1 (pow ux 3)) (/ maxCos (pow ux 2)))))) (+ (/ 3 (pow ux 2)) (/ (pow maxCos 2) ux))))
(* -1 (* (* (pow ux 2) (sqrt -1)) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos)))))
(* (pow ux 2) (- (* -1/2 (* (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (* ux (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (* (sqrt -1) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos))))))
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(* -1 (* ux (+ 1 maxCos)))
(* ux (- (/ 1 ux) (+ 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 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* -1 (* (pow ux 2) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (- (* 2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2)))
(* (* (pow ux 2) (sqrt -1)) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos))))
(* (pow ux 2) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (* ux (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (* (sqrt -1) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos))))))
(* (pow ux 2) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) 2)) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (* (pow ux 2) (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (* ux (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (* (sqrt -1) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos)))))))
(* (pow ux 2) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) 2)) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (* (pow ux 2) (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (* ux (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (- (* -1 (/ (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (pow maxCos 2)) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos)))) (+ 1 maxCos))) (* 1/2 (/ (* (+ 1 maxCos) (* (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) 2)) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))))) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (* (pow ux 3) (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (* (sqrt -1) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos))))))))
(pow ux 2)
(* (pow ux 2) (- 1 (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 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)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* ux (+ 1 (* -1 maxCos)))
(* -1 (* ux (- (/ 1 ux) (+ 1 (* -1 maxCos)))))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (* 2 (/ 1 ux))) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (+ 1 (* -1 maxCos)))))
(* -1 (* ux (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (+ 1 (* -1 maxCos))))) (* (cos (* 2 (* uy (PI)))) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 1/4 (/ (pow (+ 2 (* -2 maxCos)) 2) (pow (+ 1 (* -1 maxCos)) 2))))) (* ux (+ 1 (* -1 maxCos))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (+ 1 (* -1 maxCos))))) ux)) (* (cos (* 2 (* uy (PI)))) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (cos (* 2 (* uy (PI)))) (* (+ 2 (* -2 maxCos)) (- 2 (* 1/4 (/ (pow (+ 2 (* -2 maxCos)) 2) (pow (+ 1 (* -1 maxCos)) 2)))))) (* ux (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 1/4 (/ (pow (+ 2 (* -2 maxCos)) 2) (pow (+ 1 (* -1 maxCos)) 2))))) (+ 1 (* -1 maxCos))))) ux)) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (+ 1 (* -1 maxCos))))) ux)) (* (cos (* 2 (* uy (PI)))) (+ 1 (* -1 maxCos))))))
(* -1 (* (pow ux 3) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2)))))
(* -1 (* (pow ux 3) (+ (* -1 (/ (- (+ 1 (* 2 (+ 1 (* -1 maxCos)))) (pow maxCos 2)) ux)) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))))))
(* -1 (* (pow ux 3) (+ (* -1 (/ (- (+ 1 (+ (* -1 (/ (+ 3 (* -1 maxCos)) ux)) (* 2 (+ 1 (* -1 maxCos))))) (pow maxCos 2)) ux)) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))))))
(* -1 (* (pow ux 3) (+ (* -1 (/ (- (+ 1 (+ (* -1 (/ (- (+ 3 (* -1 maxCos)) (/ 1 ux)) ux)) (* 2 (+ 1 (* -1 maxCos))))) (pow maxCos 2)) ux)) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))))))
(* -1 (* (pow ux 2) (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))))))
(* (pow ux 2) (- (* 1/2 (* (/ (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) ux) (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))))) (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))))))
(* (pow ux 2) (- (* -1 (/ (- (* -1 (/ (- 1 (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (* -1 maxCos)))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) 2)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))))) ux)) (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))) ux)) (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))))))
(* (pow ux 2) (- (* -1 (/ (- (* -1 (/ (- (+ 1 (* 1/2 (* (/ (- (+ (* 2 (/ (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (* -1 maxCos)))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 3))) (+ (/ 1 (- 1 (* -1 maxCos))) (+ (/ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (- 1 (* -1 maxCos))) (+ (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 2) (- 1 (* -1 maxCos)))))))) (+ (* 1/2 (/ (* (- 1 (* -1 maxCos)) (* (- (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (* -1 maxCos)))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) 2)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))))) (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))))) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (pow (- 1 (* -1 maxCos)) 2))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 4)) (+ (/ (pow maxCos 2) (- 1 (* -1 maxCos))) (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2)))))))) ux) (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2)))))))) (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (* -1 maxCos)))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) 2)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))))) ux)) (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))) ux)) (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))))))
(* -1 (* ux (- 1 (* -1 maxCos))))
(* -1 (* ux (- 1 (+ (* -1 maxCos) (/ 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) (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))))
(* (pow ux 2) (+ (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (* -1/2 (* (/ (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) ux) (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2)))))))))
(* (pow ux 2) (+ (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (* -1 (/ (+ (* -1/2 (* (/ (- (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (* -1 maxCos)))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) 2)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))))) ux) (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))))) (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))) ux))))
(* (pow ux 2) (+ (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (- (+ (* 2 (/ (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (* -1 maxCos)))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 3))) (+ (/ 1 (- 1 (* -1 maxCos))) (+ (/ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (- 1 (* -1 maxCos))) (+ (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 2) (- 1 (* -1 maxCos)))))))) (+ (* 1/2 (/ (* (- 1 (* -1 maxCos)) (* (- (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (* -1 maxCos)))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) 2)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))))) (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))))) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (pow (- 1 (* -1 maxCos)) 2))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 4)) (+ (/ (pow maxCos 2) (- 1 (* -1 maxCos))) (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2)))))))) ux) (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))))) (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (* -1 maxCos)))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) 2)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))))) ux)) (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))) ux))))
(* (pow ux 2) (+ 1 (* -1 (/ (- 2 (/ 1 ux)) ux))))
(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4))))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* 2 (* uy (PI)))
(* 2 uy)
(sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))))
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))))))
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))))))))
(sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))
(+ (sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))
(+ (sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))
(+ (sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(cos (* 2 (* uy (PI))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))
(* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* -2 (* (pow uy 2) (pow (PI) 2)))
(* (pow uy 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow uy 2))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 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)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 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 (* (* (cos (* 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)))))))))) (* (cos (* 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))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(pow (- ux 1) 2)
(+ (* -2 (* maxCos (* ux (- ux 1)))) (pow (- ux 1) 2))
(+ (* maxCos (+ (* -2 (* ux (- ux 1))) (* maxCos (pow ux 2)))) (pow (- ux 1) 2))
(- ux 1)
(- (+ ux (* -1 (* maxCos ux))) 1)
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))
(+ (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))) (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))))
(+ (* maxCos (+ (* maxCos (+ (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* 1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (- ux 1))))) (sqrt (/ 1 (pow (- 1 (pow (- ux 1) 2)) 3))))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))))
(+ 1 (pow (- 1 ux) 2))
(+ 1 (+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2)))
(+ 1 (+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2)))
(* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (pow (- 1 ux) 2))))
(+ (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (pow (- 1 ux) 2)))) (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (+ 1 (pow (- 1 ux) 2))))))
(+ (* maxCos (+ (* 1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (- (pow ux 2) (/ (* (pow ux 2) (pow (- 1 ux) 2)) (+ 1 (pow (- 1 ux) 2)))))) (sqrt (/ 1 (+ 1 (pow (- 1 ux) 2)))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (+ 1 (pow (- 1 ux) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- (pow ux 2) (/ (* (pow ux 2) (pow (- 1 ux) 2)) (+ 1 (pow (- 1 ux) 2)))))))) (sqrt (/ 1 (pow (+ 1 (pow (- 1 ux) 2)) 3))))) (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (- (pow ux 2) (/ (* (pow ux 2) (pow (- 1 ux) 2)) (+ 1 (pow (- 1 ux) 2))))) (sqrt (/ 1 (+ 1 (pow (- 1 ux) 2)))))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (+ 1 (pow (- 1 ux) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (pow (- 1 ux) 2)))))
(pow (- 1 ux) 3)
(+ (* maxCos (* ux (pow (- 1 ux) 2))) (pow (- 1 ux) 3))
(+ (* maxCos (+ (* -1 (* maxCos (* (pow ux 2) (- 1 ux)))) (* ux (pow (- 1 ux) 2)))) (pow (- 1 ux) 3))
(+ (* maxCos (+ (* maxCos (+ (* -1 (* maxCos (pow ux 3))) (* -1 (* (pow ux 2) (- 1 ux))))) (* ux (pow (- 1 ux) 2)))) (pow (- 1 ux) 3))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -1/2 (/ (* maxCos (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (pow (- 1 ux) 2)))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1/2 (/ (* maxCos (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (+ (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))) (* 1/4 (/ (pow (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) 2) (pow (- 1 ux) 4)))))) (pow (- 1 ux) 2))) (* 1/2 (/ (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) (pow (- 1 ux) 2)))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* maxCos (- (* -1/2 (/ (* maxCos (- (+ (* -1 (/ (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2)))) (- 1 ux))) (* (pow ux 3) (- 1 ux))) (+ (* -1 (/ (* ux (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))))) (- 1 ux))) (* 1/2 (/ (* (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (+ (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))) (* 1/4 (/ (pow (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) 2) (pow (- 1 ux) 4)))))) (pow (- 1 ux) 4)))))) (pow (- 1 ux) 2))) (* 1/2 (/ (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (+ (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))) (* 1/4 (/ (pow (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) 2) (pow (- 1 ux) 4))))) (pow (- 1 ux) 2))))) (* 1/2 (/ (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) (pow (- 1 ux) 2)))))) (pow (- 1 ux) 2))
(- (+ 1 (* -1 (* maxCos ux))) ux)
(+ 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)))
(- (+ 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 (pow (- ux 1) 2))
(- (+ 1 (* 2 (* maxCos (* ux (- ux 1))))) (pow (- ux 1) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* -2 (* ux (- ux 1)))))) (pow (- ux 1) 2))
(+ (* 1/2 (/ (* maxCos (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (pow (- 1 ux) 2))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 1/2 (/ (* maxCos (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (+ (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))) (* 1/4 (/ (pow (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) 2) (pow (- 1 ux) 4)))))) (pow (- 1 ux) 2))) (* 1/2 (/ (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) (pow (- 1 ux) 2))))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 1/2 (/ (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) (pow (- 1 ux) 2))) (* maxCos (+ (* 1/2 (/ (* maxCos (- (+ (* -1 (/ (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2)))) (- 1 ux))) (* (pow ux 3) (- 1 ux))) (+ (* -1 (/ (* ux (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))))) (- 1 ux))) (* 1/2 (/ (* (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (+ (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))) (* 1/4 (/ (pow (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) 2) (pow (- 1 ux) 4)))))) (pow (- 1 ux) 4)))))) (pow (- 1 ux) 2))) (* 1/2 (/ (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (+ (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))) (* 1/4 (/ (pow (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) 2) (pow (- 1 ux) 4))))) (pow (- 1 ux) 2))))))) (pow (- 1 ux) 2))
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 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))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2))))
(* -1 (* maxCos ux))
(* maxCos (- (/ ux maxCos) (+ ux (/ 1 maxCos))))
(* maxCos (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))
(* maxCos (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ 1 (pow maxCos 2)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* maxCos (* ux (cos (* 2 (* uy (PI))))))
(* maxCos (+ (* ux (cos (* 2 (* uy (PI))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) maxCos)))
(* maxCos (+ (* 1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow maxCos 2) ux))) (+ (* ux (cos (* 2 (* uy (PI))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) maxCos))))
(* maxCos (+ (* 1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow maxCos 2) ux))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (/ 1 ux))) (* (pow maxCos 3) ux))) (+ (* ux (cos (* 2 (* uy (PI))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) maxCos)))))
(* -1 (* (pow maxCos 3) (pow ux 3)))
(* (pow maxCos 3) (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) maxCos)) (* -1 (pow ux 3))))
(* (pow maxCos 3) (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) maxCos)) (+ (* -1 (pow ux 3)) (/ (* ux (pow (- 1 ux) 2)) (pow maxCos 2)))))
(* (pow maxCos 3) (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) maxCos)) (+ (* -1 (pow ux 3)) (+ (/ (* ux (pow (- 1 ux) 2)) (pow maxCos 2)) (/ (pow (- 1 ux) 3) (pow maxCos 3))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -1/2 (/ (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) (* maxCos (pow ux 2)))) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 1/2 (/ (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)) (* 1/4 (/ (pow (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) 2) (pow ux 4))))) (* (pow maxCos 2) (pow ux 2)))) (+ (* 1/2 (/ (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) (* maxCos (pow ux 2)))) (pow ux 2)))))
(* (pow maxCos 2) (- (+ (* -1/2 (/ (- (* -1 (/ (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 3))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)))) ux)) (* 1/2 (/ (* (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)) (* 1/4 (/ (pow (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) 2) (pow ux 4))))) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) (pow ux 4))))) (* (pow maxCos 3) (pow ux 2)))) (/ 1 (pow maxCos 2))) (+ (* 1/2 (/ (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)) (* 1/4 (/ (pow (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) 2) (pow ux 4))))) (* (pow maxCos 2) (pow ux 2)))) (+ (* 1/2 (/ (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) (* maxCos (pow ux 2)))) (pow ux 2)))))
(* maxCos (- (/ 1 maxCos) (+ ux (/ ux maxCos))))
(* -2 maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 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) (- (* -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) (- (* 2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (+ (* 1/2 (/ (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) (* maxCos (pow ux 2)))) (pow ux 2)))
(* (pow maxCos 2) (+ (* 1/2 (/ (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)) (* 1/4 (/ (pow (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) 2) (pow ux 4))))) (* (pow maxCos 2) (pow ux 2)))) (+ (* 1/2 (/ (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) (* maxCos (pow ux 2)))) (pow ux 2))))
(* (pow maxCos 2) (+ (* 1/2 (/ (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)) (* 1/4 (/ (pow (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) 2) (pow ux 4))))) (* (pow maxCos 2) (pow ux 2)))) (+ (* 1/2 (/ (- (* -1 (/ (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 3))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)))) ux)) (* 1/2 (/ (* (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)) (* 1/4 (/ (pow (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) 2) (pow ux 4))))) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) (pow ux 4))))) (* (pow maxCos 3) (pow ux 2)))) (+ (* 1/2 (/ (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) (* maxCos (pow ux 2)))) (pow ux 2)))))
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- ux 1) 2) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (- (* -1 (/ (- ux 1) maxCos)) (* -1 ux))))
(* -1 (* maxCos (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* ux (sqrt -1))))) maxCos))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (+ 1 (pow (- 1 ux) 2)) maxCos))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (* ux (cos (* 2 (* uy (PI)))))))
(* -1 (* maxCos (+ (* ux (cos (* 2 (* uy (PI))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* maxCos ux)))) maxCos)) (* ux (cos (* 2 (* uy (PI))))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (pow ux 2)))) (* 1/2 (/ (cos (* 2 (* uy (PI)))) ux))) maxCos))) maxCos)) (* ux (cos (* 2 (* uy (PI))))))))
(* -1 (* (pow maxCos 3) (+ (/ (* (pow ux 2) (- 1 ux)) maxCos) (pow ux 3))))
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (/ (* ux (pow (- 1 ux) 2)) maxCos)) maxCos)) (pow ux 3))))
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* -1 (/ (+ (* -1 (* ux (pow (- 1 ux) 2))) (* -1 (/ (pow (- 1 ux) 3) maxCos))) maxCos))) maxCos)) (pow ux 3))))
(* (pow maxCos 2) (- (* 1/2 (/ (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (* maxCos (pow ux 2)))) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (* 1/2 (/ (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (pow (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) 2) (pow ux 4))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux))) (pow ux 2)))) maxCos)) (* 1/2 (/ (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- (+ 1 (* 1/2 (/ (- (+ (* -1 (* ux (pow (- 1 ux) 3))) (/ (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (pow (- 1 ux) 2)) ux)) (+ (* 1/2 (/ (* (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (pow (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) 2) (pow ux 4))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux)))) (pow ux 4))) (/ (* (- 1 ux) (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux))) ux))) (* maxCos (pow ux 2))))) (* 1/2 (/ (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (pow (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) 2) (pow ux 4))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux))) (pow ux 2)))) maxCos)) (* 1/2 (/ (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (- (* -1 (/ (- 1 ux) maxCos)) (* -1 ux))))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* (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 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- ux 1) 2)) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1/2 (/ (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (* maxCos (pow ux 2)))) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (pow (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) 2) (pow ux 4))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux))) (* maxCos (pow ux 2)))) (* 1/2 (/ (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* -1 (* ux (pow (- 1 ux) 3))) (/ (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (pow (- 1 ux) 2)) ux)) (+ (* 1/2 (/ (* (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (pow (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) 2) (pow ux 4))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux)))) (pow ux 4))) (/ (* (- 1 ux) (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux))) ux))) (* maxCos (pow ux 2)))) (* 1/2 (/ (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (pow (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) 2) (pow ux 4))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux))) (pow ux 2)))) maxCos)) (* 1/2 (/ (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2)))
Outputs
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (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 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (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) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) #s(literal -1/2 binary32))) (*.f32 ux ux) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32))))) #s(literal -1/16 binary32) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) #s(literal -1/8 binary32))) (*.f32 ux ux))) (*.f32 ux ux) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
1
#s(literal 1 binary32)
(+ 1 (* ux (- (* 2 maxCos) 2)))
(fma.f32 (-.f32 (*.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 (-.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (*.f32 #s(literal 2 binary32) maxCos)) #s(literal 2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(+ 1 (* -2 (* ux (- 1 maxCos))))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal -2 binary32) #s(literal 1 binary32))
(+ 1 (* ux (+ (* -2 (- 1 maxCos)) (* ux (pow (- 1 maxCos) 2)))))
(fma.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal -2 binary32))) ux #s(literal 1 binary32))
-1
#s(literal -1 binary32)
(- (* ux (- 1 maxCos)) 1)
(-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 1 binary32))
(* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2)))
(*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))
(+ (* -1/2 (* (sqrt (* (pow ux 3) (pow (- 1 maxCos) 3))) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 3 binary32)))) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal 2 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))
(+ (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/8 (* (sqrt (* ux (pow (- 1 maxCos) 5))) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) ux))) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) ux))) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 ux ux) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))
(+ (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ (pow (- 1 maxCos) 5) (pow ux 3))) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (* -1/16 (* (sqrt (/ (pow (- 1 maxCos) 7) ux)) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 5)))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 7 binary32)) ux))) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))) (*.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) #s(literal -1/8 binary32))) (*.f32 ux ux) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) ux))) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 ux ux) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))
2
#s(literal 2 binary32)
(+ 2 (* ux (- (* 2 maxCos) 2)))
(fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 2 binary32))
(+ 2 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(fma.f32 (-.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (*.f32 #s(literal 2 binary32) maxCos)) #s(literal 2 binary32)) ux #s(literal 2 binary32))
(* (cos (* 2 (* uy (PI)))) (sqrt 2))
(*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))
(+ (* 1/2 (/ (* ux (* (cos (* 2 (* uy (PI)))) (- (* 2 maxCos) 2))) (sqrt 2))) (* (cos (* 2 (* uy (PI)))) (sqrt 2)))
(fma.f32 (*.f32 ux (/.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 #s(literal 2 binary32)))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(+ (* ux (+ (* 1/2 (/ (* ux (* (cos (* 2 (* uy (PI)))) (- (pow (- maxCos 1) 2) (* 1/4 (/ (pow (- (* 2 maxCos) 2) 2) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* 2 maxCos) 2)) (sqrt 2))))) (* (cos (* 2 (* uy (PI)))) (sqrt 2)))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux) (-.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (/.f32 (pow.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32))) (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (sqrt.f32 #s(literal 2 binary32)))) ux (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(+ (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* 2 maxCos) 2)) (sqrt 2))) (* ux (+ (* -1/4 (/ (* ux (* (cos (* 2 (* uy (PI)))) (* (- (* 2 maxCos) 2) (- (pow (- maxCos 1) 2) (* 1/4 (/ (pow (- (* 2 maxCos) 2) 2) (pow (sqrt 2) 2))))))) (pow (sqrt 2) 3))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (pow (- maxCos 1) 2) (* 1/4 (/ (pow (- (* 2 maxCos) 2) 2) (pow (sqrt 2) 2))))) (sqrt 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt 2)))
(fma.f32 (fma.f32 (fma.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux) (*.f32 (-.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (/.f32 (pow.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32))) (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (/.f32 (pow.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32)) #s(literal 1/4 binary32))) (sqrt.f32 #s(literal 2 binary32)))) #s(literal 1/2 binary32))) ux (*.f32 (/.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 #s(literal 2 binary32))) #s(literal 1/2 binary32))) ux (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(+ 1 (* ux (- maxCos 3)))
(fma.f32 (-.f32 maxCos #s(literal 3 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ maxCos (* ux (- (+ 1 (* -2 (- maxCos 1))) (pow maxCos 2)))) 3)))
(fma.f32 (-.f32 (fma.f32 (-.f32 (fma.f32 #s(literal -2 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 maxCos maxCos)) ux maxCos) #s(literal 3 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ maxCos (* ux (- (+ 1 (+ (* -2 (- maxCos 1)) (* ux (* (- 1 (pow maxCos 2)) (- maxCos 1))))) (pow maxCos 2)))) 3)))
(fma.f32 (-.f32 (fma.f32 (-.f32 (+.f32 (fma.f32 #s(literal -2 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 maxCos maxCos)) ux maxCos) #s(literal 3 binary32)) ux #s(literal 1 binary32))
(* -1/2 (* ux (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos))))))
(*.f32 (*.f32 #s(literal -1/2 binary32) ux) (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))))
(* ux (- (* -1/2 (* ux (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2)))))) (* 1/2 (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) ux) (-.f32 (+.f32 (+.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) (+.f32 maxCos #s(literal 1 binary32)))) (fma.f32 (pow.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32)) #s(literal 1/4 binary32) (*.f32 maxCos maxCos))) (*.f32 #s(literal -1/2 binary32) (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))))) ux)
(* ux (- (* ux (- (* -1/2 (* ux (- (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ (* -1 (* (+ 1 maxCos) (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (pow maxCos 2))))) (* 1/2 (* (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2)))) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))))))) (* 1/2 (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2))))))) (* 1/2 (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))))
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) ux) (-.f32 (+.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)))) (*.f32 (-.f32 (+.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 1 binary32)) (-.f32 (*.f32 maxCos maxCos) (*.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) (+.f32 maxCos #s(literal 1 binary32))))) (+.f32 maxCos #s(literal 1 binary32)))) (*.f32 (*.f32 (-.f32 (+.f32 (+.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) (+.f32 maxCos #s(literal 1 binary32)))) (fma.f32 (pow.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32)) #s(literal 1/4 binary32) (*.f32 maxCos maxCos))) #s(literal 1/2 binary32)) (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))))) (*.f32 #s(literal -1/2 binary32) (-.f32 (+.f32 (+.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) (+.f32 maxCos #s(literal 1 binary32)))) (fma.f32 (pow.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32)) #s(literal 1/4 binary32) (*.f32 maxCos maxCos))))) ux (*.f32 #s(literal -1/2 binary32) (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))))) ux)
(* ux (- (* ux (- (* ux (- (* -1/2 (* ux (- (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (* -1 (* (+ 1 maxCos) (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (pow maxCos 2)))))))) (+ (* 1/4 (pow (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2)))) 2)) (* 1/2 (* (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) (- (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ (* -1 (* (+ 1 maxCos) (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (pow maxCos 2))))) (* 1/2 (* (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2)))) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos))))))))))))))) (* 1/2 (- (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ (* -1 (* (+ 1 maxCos) (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (pow maxCos 2))))) (* 1/2 (* (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2)))) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos))))))))))) (* 1/2 (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2))))))) (* 1/2 (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))))
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) ux) (-.f32 (+.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -2 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (*.f32 (+.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)))) (*.f32 (-.f32 (+.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 1 binary32)) (-.f32 (*.f32 maxCos maxCos) (*.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) (+.f32 maxCos #s(literal 1 binary32))))) (+.f32 maxCos #s(literal 1 binary32)))) (+.f32 maxCos #s(literal 1 binary32)))) (fma.f32 (*.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) #s(literal 1/2 binary32)) (-.f32 (+.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)))) (*.f32 (-.f32 (+.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 1 binary32)) (-.f32 (*.f32 maxCos maxCos) (*.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) (+.f32 maxCos #s(literal 1 binary32))))) (+.f32 maxCos #s(literal 1 binary32)))) (*.f32 (*.f32 (-.f32 (+.f32 (+.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) (+.f32 maxCos #s(literal 1 binary32)))) (fma.f32 (pow.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32)) #s(literal 1/4 binary32) (*.f32 maxCos maxCos))) #s(literal 1/2 binary32)) (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))))) (*.f32 (pow.f32 (-.f32 (+.f32 (+.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) (+.f32 maxCos #s(literal 1 binary32)))) (fma.f32 (pow.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32)) #s(literal 1/4 binary32) (*.f32 maxCos maxCos))) #s(literal 2 binary32)) #s(literal 1/4 binary32)))) (*.f32 #s(literal -1/2 binary32) (-.f32 (+.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)))) (*.f32 (-.f32 (+.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 1 binary32)) (-.f32 (*.f32 maxCos maxCos) (*.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) (+.f32 maxCos #s(literal 1 binary32))))) (+.f32 maxCos #s(literal 1 binary32)))) (*.f32 (*.f32 (-.f32 (+.f32 (+.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) (+.f32 maxCos #s(literal 1 binary32)))) (fma.f32 (pow.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32)) #s(literal 1/4 binary32) (*.f32 maxCos maxCos))) #s(literal 1/2 binary32)) (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))))))) ux (*.f32 #s(literal -1/2 binary32) (-.f32 (+.f32 (+.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) (+.f32 maxCos #s(literal 1 binary32)))) (fma.f32 (pow.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 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(+ 1 (* -1 (* ux (+ 1 maxCos))))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 maxCos #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)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 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)
(* 2 (* ux (- 1 maxCos)))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32))
(* ux (- (* -1 (* ux (pow (- 1 maxCos) 2))) (* -2 (- 1 maxCos))))
(*.f32 (fma.f32 (neg.f32 ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos))) ux)
(+ 1 (* 1/2 (* ux (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) ux) (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) #s(literal 1 binary32))
(+ 1 (* ux (+ (* 1/2 (* ux (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2)))))) (* 1/2 (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos))))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 (+.f32 (+.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) (+.f32 maxCos #s(literal 1 binary32)))) (fma.f32 (pow.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32)) #s(literal 1/4 binary32) (*.f32 maxCos maxCos))) ux (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))))) ux #s(literal 1 binary32))
(+ 1 (* ux (+ (* 1/2 (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos))))) (* ux (+ (* 1/2 (* ux (- (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ (* -1 (* (+ 1 maxCos) (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (pow maxCos 2))))) (* 1/2 (* (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2)))) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))))))) (* 1/2 (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ (* -1 (* (+ 1 maxCos) (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))))) (+ (* 1/4 (pow (- (+ maxCos (* 2 maxCos)) (+ 5 (* -1 (+ 1 maxCos)))) 2)) (pow maxCos 2))))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 (+.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)))) (*.f32 (-.f32 (+.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 1 binary32)) (-.f32 (*.f32 maxCos maxCos) (*.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) (+.f32 maxCos #s(literal 1 binary32))))) (+.f32 maxCos #s(literal 1 binary32)))) (*.f32 (*.f32 (-.f32 (+.f32 (+.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) (+.f32 maxCos #s(literal 1 binary32)))) (fma.f32 (pow.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32)) #s(literal 1/4 binary32) (*.f32 maxCos maxCos))) #s(literal 1/2 binary32)) (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))))) ux (-.f32 (+.f32 (+.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) (+.f32 maxCos #s(literal 1 binary32)))) (fma.f32 (pow.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) #s(literal 2 binary32)) #s(literal 1/4 binary32) (*.f32 maxCos maxCos))))) ux (*.f32 (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos))) #s(literal 1/2 binary32))) ux #s(literal 1 binary32))
(+ 1 (* -2 ux))
(fma.f32 #s(literal -2 binary32) ux #s(literal 1 binary32))
(+ 1 (* ux (- ux 2)))
(fma.f32 (-.f32 ux #s(literal 2 binary32)) ux #s(literal 1 binary32))
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))))
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(*.f32 (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)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32)))) ux)
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.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)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 ux #s(literal 3 binary32))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.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)))) (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)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32)))))) ux)
(* (pow ux 2) (pow (- maxCos 1) 2))
(*.f32 (*.f32 ux ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #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))))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 #s(literal 2 binary32) ux)) (*.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)
(* (pow ux 2) (pow (- 1 maxCos) 2))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2)))
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal -2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (+ (/ 1 (pow ux 2)) (pow (- 1 maxCos) 2))))
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal -2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) (*.f32 ux ux))
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 (+ maxCos (/ 1 ux))))
(*.f32 (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)) ux)
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))))
(*.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))
(* ux (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1)))))
(*.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) ux)
(* ux (+ (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux ux))) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) maxCos)) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))) ux)
(* ux (+ (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* 1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- 1 maxCos) 2))))) (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1)))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux ux))) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) maxCos)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) ux)
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 2 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 ux ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(* ux (* (cos (* 2 (* uy (PI)))) (- maxCos 1)))
(*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux)
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* 2 maxCos) 2)) (* ux (- maxCos 1)))) (* (cos (* 2 (* uy (PI)))) (- maxCos 1))))
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) ux) (/.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) ux)
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 1/4 (/ (pow (- (* 2 maxCos) 2) 2) (pow (- maxCos 1) 2))))) (* (pow ux 2) (- maxCos 1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* 2 maxCos) 2)) (* ux (- maxCos 1)))) (* (cos (* 2 (* uy (PI)))) (- maxCos 1)))))
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal 1/4 binary32) (pow.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (*.f32 ux ux) (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1/2 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) ux) (/.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))) ux)
(* ux (+ (* -1/4 (/ (* (cos (* 2 (* uy (PI)))) (* (- 2 (* 1/4 (/ (pow (- (* 2 maxCos) 2) 2) (pow (- maxCos 1) 2)))) (- (* 2 maxCos) 2))) (* (pow ux 3) (pow (- maxCos 1) 3)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 1/4 (/ (pow (- (* 2 maxCos) 2) 2) (pow (- maxCos 1) 2))))) (* (pow ux 2) (- maxCos 1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* 2 maxCos) 2)) (* ux (- maxCos 1)))) (* (cos (* 2 (* uy (PI)))) (- maxCos 1))))))
(*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal 1/4 binary32) (pow.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32))) (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32))) #s(literal -1/4 binary32) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 2 binary32) (/.f32 (*.f32 #s(literal 1/4 binary32) (pow.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (*.f32 ux ux) (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1/2 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) ux) (/.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))))) ux)
(* (pow ux 3) (* (- 1 (pow maxCos 2)) (- maxCos 1)))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (-.f32 maxCos #s(literal 1 binary32))) (pow.f32 ux #s(literal 3 binary32)))
(* (pow ux 3) (- (+ (* -2 (/ (- maxCos 1) ux)) (+ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (/ 1 ux))) (/ (pow maxCos 2) ux)))
(*.f32 (-.f32 (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal -2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 maxCos maxCos) ux)) (pow.f32 ux #s(literal 3 binary32)))
(* (pow ux 3) (- (+ (* -2 (/ (- maxCos 1) ux)) (+ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ (/ 1 ux) (/ maxCos (pow ux 2))))) (+ (/ 3 (pow ux 2)) (/ (pow maxCos 2) ux))))
(*.f32 (-.f32 (-.f32 (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal -2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (/.f32 maxCos (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux)))) (/.f32 #s(literal 3 binary32) (*.f32 ux ux))) (/.f32 (*.f32 maxCos maxCos) ux)) (pow.f32 ux #s(literal 3 binary32)))
(* (pow ux 3) (- (+ (* -2 (/ (- maxCos 1) ux)) (+ (* (- 1 (pow maxCos 2)) (- maxCos 1)) (+ (/ 1 ux) (+ (/ 1 (pow ux 3)) (/ maxCos (pow ux 2)))))) (+ (/ 3 (pow ux 2)) (/ (pow maxCos 2) ux))))
(*.f32 (-.f32 (-.f32 (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal -2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (/.f32 maxCos (*.f32 ux ux))) (/.f32 #s(literal 1 binary32) ux)))) (/.f32 #s(literal 3 binary32) (*.f32 ux ux))) (/.f32 (*.f32 maxCos maxCos) ux)) (pow.f32 ux #s(literal 3 binary32)))
(* -1 (* (* (pow ux 2) (sqrt -1)) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos)))))
(*.f32 (neg.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 ux ux))) (sqrt.f32 (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (+.f32 maxCos #s(literal 1 binary32)))))
(* (pow ux 2) (- (* -1/2 (* (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (* ux (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (* (sqrt -1) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos))))))
(*.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 maxCos #s(literal 1 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))))) (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -2 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (+.f32 maxCos #s(literal 1 binary32)))) (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) #s(literal -1/2 binary32) (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (+.f32 maxCos #s(literal 1 binary32)))))) (*.f32 ux ux))
(* (pow ux 2) (- (/ 1 (pow ux 2)) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) 2)) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (* (pow ux 2) (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (* ux (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (* (sqrt -1) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos))))))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)))) (+.f32 maxCos #s(literal 1 binary32)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 (pow.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -2 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (+.f32 maxCos #s(literal 1 binary32)))) (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 2 binary32)) (+.f32 maxCos #s(literal 1 binary32))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -2 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (+.f32 maxCos #s(literal 1 binary32)))) (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (+.f32 maxCos #s(literal 1 binary32)))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 ux ux)))) (sqrt.f32 (/.f32 (+.f32 maxCos #s(literal 1 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))))) (fma.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 maxCos #s(literal 1 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))))) (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -2 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (+.f32 maxCos #s(literal 1 binary32)))) (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (+.f32 maxCos #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -1/2 (* (/ (- (* -1 (/ (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (pow maxCos 2)) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos)))) (+ 1 maxCos))) (* 1/2 (/ (* (+ 1 maxCos) (* (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) 2)) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))))) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (* (pow ux 3) (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (/ 1 (pow ux 2))) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) 2)) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (* (pow ux 2) (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (* ux (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (* (sqrt -1) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos))))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (+.f32 (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 1 binary32)) (*.f32 maxCos maxCos)) (+.f32 maxCos #s(literal 1 binary32)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 (+.f32 maxCos #s(literal 1 binary32)) (-.f32 (neg.f32 (/.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)))) (+.f32 maxCos #s(literal 1 binary32)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 (pow.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -2 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (+.f32 maxCos #s(literal 1 binary32)))) (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 2 binary32)) (+.f32 maxCos #s(literal 1 binary32))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -2 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (+.f32 maxCos #s(literal 1 binary32)))) (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (+.f32 maxCos #s(literal 1 binary32))))))) (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -2 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (+.f32 maxCos #s(literal 1 binary32)))) (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (neg.f32 (/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)))) (+.f32 maxCos #s(literal 1 binary32))) (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -2 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (+.f32 maxCos #s(literal 1 binary32)))) (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (+.f32 maxCos #s(literal 1 binary32))))) (+.f32 maxCos #s(literal 1 binary32)))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 ux #s(literal 3 binary32))))) (sqrt.f32 (/.f32 (+.f32 maxCos #s(literal 1 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal -2 binary32) (fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)))) (+.f32 maxCos #s(literal 1 binary32)))) (fma.f32 #s(literal -1/4 binary32) (/.f32 (*.f32 (pow.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -2 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (+.f32 maxCos #s(literal 1 binary32)))) (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 2 binary32)) (+.f32 maxCos #s(literal 1 binary32))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (neg.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -2 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (+.f32 maxCos #s(literal 1 binary32)))) (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (+.f32 maxCos #s(literal 1 binary32)))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 ux ux)))) (sqrt.f32 (/.f32 (+.f32 maxCos #s(literal 1 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))))) (fma.f32 (*.f32 (sqrt.f32 (/.f32 (+.f32 maxCos #s(literal 1 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))))) (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) #s(literal -2 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))) (+.f32 maxCos #s(literal 1 binary32)))) (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (+.f32 maxCos #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))))))) (*.f32 ux ux))
(* -1 (* ux (+ 1 maxCos)))
(*.f32 (neg.f32 ux) (+.f32 maxCos #s(literal 1 binary32)))
(* ux (- (/ 1 ux) (+ 1 maxCos)))
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos) ux)
(* -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 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
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(* (* (pow ux 2) (sqrt -1)) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos))))
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(* (pow ux 2) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (* ux (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (* (sqrt -1) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos))))))
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(* (pow ux 2) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) 2)) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (* (pow ux 2) (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (* ux (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (* (sqrt -1) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos)))))))
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(* (pow ux 2) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) 2)) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (* (pow ux 2) (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (* ux (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (- (* -1 (/ (- (+ 1 (+ (* -2 (- (+ maxCos (* 2 maxCos)) 3)) (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (pow maxCos 2)) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos)))) (+ 1 maxCos))) (* 1/2 (/ (* (+ 1 maxCos) (* (- (* -1 (/ (+ (* -2 (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ (* (- 1 (pow maxCos 2)) (- (+ maxCos (* 2 maxCos)) 3)) (pow (- maxCos 1) 3))) (+ 1 maxCos))) (+ (* -1 (/ (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) (+ 1 maxCos))) (* 1/4 (/ (* (+ 1 maxCos) (pow (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))) 2)) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (- (* -1 (/ (+ (* -2 (pow (- maxCos 1) 3)) (* (+ (* (- maxCos 1) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)) (- 1 (pow maxCos 2)))) (+ 1 maxCos))) (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (pow (+ 1 maxCos) 2))))) (* (pow (sqrt -1) 2) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3))))))) (* (pow ux 3) (sqrt -1))) (sqrt (/ (+ 1 maxCos) (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)))))) (* (sqrt -1) (sqrt (/ (* (- 1 (pow maxCos 2)) (pow (- maxCos 1) 3)) (+ 1 maxCos))))))))
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(*.f32 ux ux)
(* (pow ux 2) (- 1 (* 2 (/ 1 ux))))
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(* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))
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(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
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(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
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(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
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(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
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(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
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(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
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(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
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(* -1 (* ux (+ 1 (* -1 maxCos))))
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(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
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(* ux (+ 1 (* -1 maxCos)))
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(* -1 (* ux (- (/ 1 ux) (+ 1 (* -1 maxCos)))))
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(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (* 2 (/ 1 ux))) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
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(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (+ 1 (* -1 maxCos)))))
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(* -1 (* ux (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (+ 1 (* -1 maxCos))))) (* (cos (* 2 (* uy (PI)))) (+ 1 (* -1 maxCos))))))
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(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 1/4 (/ (pow (+ 2 (* -2 maxCos)) 2) (pow (+ 1 (* -1 maxCos)) 2))))) (* ux (+ 1 (* -1 maxCos))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (+ 1 (* -1 maxCos))))) ux)) (* (cos (* 2 (* uy (PI)))) (+ 1 (* -1 maxCos))))))
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(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (cos (* 2 (* uy (PI)))) (* (+ 2 (* -2 maxCos)) (- 2 (* 1/4 (/ (pow (+ 2 (* -2 maxCos)) 2) (pow (+ 1 (* -1 maxCos)) 2)))))) (* ux (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 1/4 (/ (pow (+ 2 (* -2 maxCos)) 2) (pow (+ 1 (* -1 maxCos)) 2))))) (+ 1 (* -1 maxCos))))) ux)) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (+ 1 (* -1 maxCos))))) ux)) (* (cos (* 2 (* uy (PI)))) (+ 1 (* -1 maxCos))))))
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(* -1 (* (pow ux 3) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2)))))
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(* -1 (* (pow ux 3) (+ (* -1 (/ (- (+ 1 (* 2 (+ 1 (* -1 maxCos)))) (pow maxCos 2)) ux)) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))))))
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(* -1 (* (pow ux 3) (+ (* -1 (/ (- (+ 1 (+ (* -1 (/ (+ 3 (* -1 maxCos)) ux)) (* 2 (+ 1 (* -1 maxCos))))) (pow maxCos 2)) ux)) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))))))
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(* -1 (* (pow ux 3) (+ (* -1 (/ (- (+ 1 (+ (* -1 (/ (- (+ 3 (* -1 maxCos)) (/ 1 ux)) ux)) (* 2 (+ 1 (* -1 maxCos))))) (pow maxCos 2)) ux)) (* (+ 1 (* -1 maxCos)) (- 1 (pow maxCos 2))))))
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(* -1 (* (pow ux 2) (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))))))
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(* (pow ux 2) (- (* 1/2 (* (/ (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) ux) (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))))) (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))))))
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(* (pow ux 2) (- (* -1 (/ (- (* -1 (/ (- 1 (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (* -1 maxCos)))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) 2)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))))) ux)) (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))) ux)) (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))))))
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(* (pow ux 2) (- (* -1 (/ (- (* -1 (/ (- (+ 1 (* 1/2 (* (/ (- (+ (* 2 (/ (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (* -1 maxCos)))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 3))) (+ (/ 1 (- 1 (* -1 maxCos))) (+ (/ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (- 1 (* -1 maxCos))) (+ (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 2) (- 1 (* -1 maxCos)))))))) (+ (* 1/2 (/ (* (- 1 (* -1 maxCos)) (* (- (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (* -1 maxCos)))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) 2)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))))) (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))))) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (pow (- 1 (* -1 maxCos)) 2))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 4)) (+ (/ (pow maxCos 2) (- 1 (* -1 maxCos))) (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2)))))))) ux) (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2)))))))) (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (* -1 maxCos)))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) 2)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))))) ux)) (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))) ux)) (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))))))
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(* (pow ux 2) (+ (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (* -1 (/ (+ (* -1/2 (* (/ (- (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (* -1 maxCos)))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) 2)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))))) ux) (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))))) (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))) ux))))
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(* (pow ux 2) (+ (sqrt (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ (- (+ (* 2 (/ (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (* -1 maxCos)))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 3))) (+ (/ 1 (- 1 (* -1 maxCos))) (+ (/ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (- 1 (* -1 maxCos))) (+ (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 2) (- 1 (* -1 maxCos)))))))) (+ (* 1/2 (/ (* (- 1 (* -1 maxCos)) (* (- (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (* -1 maxCos)))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) 2)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))))) (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))))) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (pow (- 1 (* -1 maxCos)) 2))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 4)) (+ (/ (pow maxCos 2) (- 1 (* -1 maxCos))) (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2)))))))) ux) (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))))) (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (* -1 maxCos)))) (+ (/ (* (+ 3 (+ (* -2 maxCos) (* -1 maxCos))) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos))) (+ (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 3)) (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))))) (+ (* 1/4 (/ (* (- 1 (* -1 maxCos)) (pow (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2))) 2)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 (* -1 maxCos)) 2))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))))) ux)) (* 1/2 (* (sqrt (/ (- 1 (* -1 maxCos)) (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))))) (- (+ (* 2 (/ (pow (+ 1 (* -1 maxCos)) 3) (- 1 (* -1 maxCos)))) (/ (* (+ (* (+ 1 (* -1 maxCos)) (+ 2 (* -2 maxCos))) (pow (+ 1 (* -1 maxCos)) 2)) (- 1 (pow maxCos 2))) (- 1 (* -1 maxCos)))) (/ (* (pow (+ 1 (* -1 maxCos)) 3) (- 1 (pow maxCos 2))) (pow (- 1 (* -1 maxCos)) 2)))))) ux))))
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(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (*.f32 (neg.f32 maxCos) ux) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) 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)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 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)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.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)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (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) (*.f32 (*.f32 (neg.f32 ux) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) 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))))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 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 (* (* (cos (* 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)))))))))) (* (cos (* 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)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (*.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)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (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 (*.f32 (neg.f32 ux) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) 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))))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) 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) 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)))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(pow (- ux 1) 2)
(pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))
(+ (* -2 (* maxCos (* ux (- ux 1)))) (pow (- ux 1) 2))
(fma.f32 (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal -2 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(+ (* maxCos (+ (* -2 (* ux (- ux 1))) (* maxCos (pow ux 2)))) (pow (- ux 1) 2))
(fma.f32 (fma.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) #s(literal -2 binary32) (*.f32 (*.f32 ux ux) maxCos)) maxCos (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(- ux 1)
(-.f32 ux #s(literal 1 binary32))
(- (+ ux (* -1 (* maxCos ux))) 1)
(-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))
(+ (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))) (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 (*.f32 maxCos ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))))
(fma.f32 (fma.f32 (*.f32 maxCos (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 ux ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(+ (* maxCos (+ (* maxCos (+ (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* 1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (- ux 1))))) (sqrt (/ 1 (pow (- 1 (pow (- ux 1) 2)) 3))))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 (*.f32 maxCos ux) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 ux ux)) (-.f32 ux #s(literal 1 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))) #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 ux ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))))) #s(literal -1/2 binary32))) maxCos (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(+ 1 (pow (- 1 ux) 2))
(+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32))
(+ 1 (+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2)))
(+.f32 (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))) #s(literal 1 binary32))
(+ 1 (+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2)))
(+.f32 (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))) #s(literal 1 binary32))
(* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (pow (- 1 ux) 2))))
(*.f32 (sqrt.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))
(+ (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (pow (- 1 ux) 2)))) (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (+ 1 (pow (- 1 ux) 2))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (*.f32 maxCos ux) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (sqrt.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(+ (* maxCos (+ (* 1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (- (pow ux 2) (/ (* (pow ux 2) (pow (- 1 ux) 2)) (+ 1 (pow (- 1 ux) 2)))))) (sqrt (/ 1 (+ 1 (pow (- 1 ux) 2)))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (+ 1 (pow (- 1 ux) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (*.f32 maxCos (*.f32 (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux)) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)))))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) ux)) ux))) maxCos (*.f32 (sqrt.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(+ (* maxCos (+ (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- (pow ux 2) (/ (* (pow ux 2) (pow (- 1 ux) 2)) (+ 1 (pow (- 1 ux) 2)))))))) (sqrt (/ 1 (pow (+ 1 (pow (- 1 ux) 2)) 3))))) (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (- (pow ux 2) (/ (* (pow ux 2) (pow (- 1 ux) 2)) (+ 1 (pow (- 1 ux) 2))))) (sqrt (/ 1 (+ 1 (pow (- 1 ux) 2)))))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (+ 1 (pow (- 1 ux) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)))) (*.f32 (*.f32 maxCos ux) (*.f32 (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux)) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))) #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 ux ux) (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux)) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32))))) #s(literal 1/2 binary32))) maxCos (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)))) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) ux)) ux))) maxCos (*.f32 (sqrt.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(pow (- 1 ux) 3)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))
(+ (* maxCos (* ux (pow (- 1 ux) 2))) (pow (- 1 ux) 3))
(fma.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))
(+ (* maxCos (+ (* -1 (* maxCos (* (pow ux 2) (- 1 ux)))) (* ux (pow (- 1 ux) 2)))) (pow (- 1 ux) 3))
(fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 1 binary32) ux))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))
(+ (* maxCos (+ (* maxCos (+ (* -1 (* maxCos (pow ux 3))) (* -1 (* (pow ux 2) (- 1 ux))))) (* ux (pow (- 1 ux) 2)))) (pow (- 1 ux) 3))
(fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (neg.f32 ux) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)) maxCos (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))
(- 1 (pow (- 1 ux) 2))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* -1/2 (/ (* maxCos (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (pow (- 1 ux) 2)))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (*.f32 maxCos (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #s(literal -1/2 binary32) #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* maxCos (- (* -1/2 (/ (* maxCos (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (+ (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))) (* 1/4 (/ (pow (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) 2) (pow (- 1 ux) 4)))))) (pow (- 1 ux) 2))) (* 1/2 (/ (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) (pow (- 1 ux) 2)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (fma.f32 (*.f32 maxCos (/.f32 (-.f32 (-.f32 (*.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux))) (fma.f32 (/.f32 (pow.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))) #s(literal 1/4 binary32) (*.f32 (neg.f32 ux) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux))))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #s(literal -1/2 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* maxCos (- (* maxCos (- (* -1/2 (/ (* maxCos (- (+ (* -1 (/ (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2)))) (- 1 ux))) (* (pow ux 3) (- 1 ux))) (+ (* -1 (/ (* ux (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))))) (- 1 ux))) (* 1/2 (/ (* (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (+ (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))) (* 1/4 (/ (pow (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) 2) (pow (- 1 ux) 4)))))) (pow (- 1 ux) 4)))))) (pow (- 1 ux) 2))) (* 1/2 (/ (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (+ (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))) (* 1/4 (/ (pow (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) 2) (pow (- 1 ux) 4))))) (pow (- 1 ux) 2))))) (* 1/2 (/ (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) (pow (- 1 ux) 2)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 maxCos (/.f32 (-.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (/.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) (fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) (/.f32 (-.f32 (-.f32 (*.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux))) (fma.f32 (/.f32 (pow.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))) #s(literal 1/4 binary32) (*.f32 (neg.f32 ux) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux))))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)))) #s(literal 1/2 binary32) (*.f32 (neg.f32 ux) (/.f32 (-.f32 (-.f32 (*.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux))) (*.f32 (neg.f32 ux) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux)))) (-.f32 #s(literal 1 binary32) ux))))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #s(literal -1/2 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 (-.f32 (*.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux))) (fma.f32 (/.f32 (pow.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))) #s(literal 1/4 binary32) (*.f32 (neg.f32 ux) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux))))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) maxCos (*.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* -1 (* maxCos ux))) ux)
(-.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos ux)) ux)
(+ 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 (-.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)))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #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 (fma.f32 (*.f32 (neg.f32 ux) ux) maxCos (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- 1 (pow (- ux 1) 2))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(- (+ 1 (* 2 (* maxCos (* ux (- ux 1))))) (pow (- ux 1) 2))
(-.f32 (fma.f32 (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal 2 binary32) #s(literal 1 binary32)) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* -2 (* ux (- ux 1)))))) (pow (- ux 1) 2))
(-.f32 (fma.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) maxCos (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(+ (* 1/2 (/ (* maxCos (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (pow (- 1 ux) 2))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 maxCos (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) #s(literal 1/2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (+ (* 1/2 (/ (* maxCos (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (+ (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))) (* 1/4 (/ (pow (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) 2) (pow (- 1 ux) 4)))))) (pow (- 1 ux) 2))) (* 1/2 (/ (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) (pow (- 1 ux) 2))))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (-.f32 (-.f32 (*.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux))) (fma.f32 (/.f32 (pow.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))) #s(literal 1/4 binary32) (*.f32 (neg.f32 ux) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux))))) maxCos (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (+ (* 1/2 (/ (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) (pow (- 1 ux) 2))) (* maxCos (+ (* 1/2 (/ (* maxCos (- (+ (* -1 (/ (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2)))) (- 1 ux))) (* (pow ux 3) (- 1 ux))) (+ (* -1 (/ (* ux (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))))) (- 1 ux))) (* 1/2 (/ (* (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (+ (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))) (* 1/4 (/ (pow (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) 2) (pow (- 1 ux) 4)))))) (pow (- 1 ux) 4)))))) (pow (- 1 ux) 2))) (* 1/2 (/ (- (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 2))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (- 1 ux))) (+ (* -1 (/ (* ux (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3))))) (- 1 ux))) (* 1/4 (/ (pow (- (* (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))) (- 1 ux)) (* -1 (* ux (pow (- 1 ux) 3)))) 2) (pow (- 1 ux) 4))))) (pow (- 1 ux) 2))))))) (pow (- 1 ux) 2))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (/.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) (fma.f32 (*.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) (/.f32 (-.f32 (-.f32 (*.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux))) (fma.f32 (/.f32 (pow.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))) #s(literal 1/4 binary32) (*.f32 (neg.f32 ux) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux))))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)))) #s(literal 1/2 binary32) (*.f32 (neg.f32 ux) (/.f32 (-.f32 (-.f32 (*.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux))) (*.f32 (neg.f32 ux) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux)))) (-.f32 #s(literal 1 binary32) ux))))) maxCos (-.f32 (-.f32 (*.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux))) (fma.f32 (/.f32 (pow.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))) #s(literal 1/4 binary32) (*.f32 (neg.f32 ux) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux)))))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) maxCos (*.f32 (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 1/2 binary32))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 maxCos ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (fma.f32 (cos.f32 (fma.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux)) maxCos)
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (neg.f32 (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.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)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux))) maxCos)
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (neg.f32 (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (/.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)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux ux))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.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)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux)))) maxCos)
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 maxCos ux) (*.f32 maxCos 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))
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal -2 binary32) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal -2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 maxCos maxCos)))) (*.f32 maxCos maxCos))
(* -1 (* maxCos ux))
(*.f32 (neg.f32 maxCos) ux)
(* maxCos (- (/ ux maxCos) (+ ux (/ 1 maxCos))))
(*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)
(* maxCos (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))
(*.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux)) maxCos)
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux))) maxCos)
(* maxCos (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 (*.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 ux #s(literal 1 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux ux))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux)))) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ 1 (pow maxCos 2)) (+ (/ (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) (+.f32 (/.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 maxCos maxCos)) (*.f32 ux ux))) (*.f32 maxCos maxCos))
(* maxCos (* ux (cos (* 2 (* uy (PI))))))
(*.f32 (*.f32 maxCos ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))
(* maxCos (+ (* ux (cos (* 2 (* uy (PI))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) maxCos)))
(*.f32 (fma.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux)) maxCos)
(* maxCos (+ (* 1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow maxCos 2) ux))) (+ (* ux (cos (* 2 (* uy (PI))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) maxCos))))
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) ux) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 maxCos maxCos)) (fma.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux))) maxCos)
(* maxCos (+ (* 1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow maxCos 2) ux))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (/ 1 ux))) (* (pow maxCos 3) ux))) (+ (* ux (cos (* 2 (* uy (PI))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) maxCos)))))
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) ux) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 maxCos maxCos)) (fma.f32 (/.f32 #s(literal 1/2 binary32) ux) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (pow.f32 maxCos #s(literal 3 binary32))) (fma.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux)))) maxCos)
(* -1 (* (pow maxCos 3) (pow ux 3)))
(pow.f32 (*.f32 (neg.f32 maxCos) ux) #s(literal 3 binary32))
(* (pow maxCos 3) (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) maxCos)) (* -1 (pow ux 3))))
(*.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (pow.f32 (neg.f32 ux) #s(literal 3 binary32))) (pow.f32 maxCos #s(literal 3 binary32)))
(* (pow maxCos 3) (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) maxCos)) (+ (* -1 (pow ux 3)) (/ (* ux (pow (- 1 ux) 2)) (pow maxCos 2)))))
(*.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) (/.f32 ux maxCos) (pow.f32 (neg.f32 ux) #s(literal 3 binary32)))) (pow.f32 maxCos #s(literal 3 binary32)))
(* (pow maxCos 3) (+ (* -1 (/ (* (pow ux 2) (- 1 ux)) maxCos)) (+ (* -1 (pow ux 3)) (+ (/ (* ux (pow (- 1 ux) 2)) (pow maxCos 2)) (/ (pow (- 1 ux) 3) (pow maxCos 3))))))
(*.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (*.f32 ux ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (pow.f32 ux #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) (/.f32 ux maxCos) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 3 binary32)))) (pow.f32 maxCos #s(literal 3 binary32)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (neg.f32 ux) ux) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1/2 (/ (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) (* maxCos (pow ux 2)))) (pow ux 2)))
(*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 ux ux)) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) maxCos) (*.f32 (neg.f32 ux) ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 1/2 (/ (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)) (* 1/4 (/ (pow (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) 2) (pow ux 4))))) (* (pow maxCos 2) (pow ux 2)))) (+ (* 1/2 (/ (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) (* maxCos (pow ux 2)))) (pow ux 2)))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 ux #s(literal 3 binary32)))) ux)) (fma.f32 (/.f32 (pow.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (pow.f32 ux #s(literal 4 binary32))) #s(literal 1/4 binary32) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) ux)))) (*.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 ux ux)) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) maxCos) (*.f32 ux ux)))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (+ (* -1/2 (/ (- (* -1 (/ (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 3))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)))) ux)) (* 1/2 (/ (* (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)) (* 1/4 (/ (pow (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) 2) (pow ux 4))))) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) (pow ux 4))))) (* (pow maxCos 3) (pow ux 2)))) (/ 1 (pow maxCos 2))) (+ (* 1/2 (/ (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)) (* 1/4 (/ (pow (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) 2) (pow ux 4))))) (* (pow maxCos 2) (pow ux 2)))) (+ (* 1/2 (/ (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) (* maxCos (pow ux 2)))) (pow ux 2)))))
(*.f32 (fma.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (*.f32 ux ux))) ux)) (fma.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 ux #s(literal 3 binary32)))) ux)) (fma.f32 (/.f32 (pow.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (pow.f32 ux #s(literal 4 binary32))) #s(literal 1/4 binary32) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) ux)))) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) (pow.f32 ux #s(literal 4 binary32)))) #s(literal 1/2 binary32) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 ux #s(literal 3 binary32)))) ux)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) ux))) ux)))) (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) (*.f32 ux ux))) #s(literal -1/2 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 ux #s(literal 3 binary32)))) ux)) (fma.f32 (/.f32 (pow.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (pow.f32 ux #s(literal 4 binary32))) #s(literal 1/4 binary32) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) ux)))) (*.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 ux ux)) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) maxCos) (*.f32 ux ux))))) (*.f32 maxCos maxCos))
(* maxCos (- (/ 1 maxCos) (+ ux (/ ux maxCos))))
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) maxCos) ux) (/.f32 ux 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)
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)))
(*.f32 (fma.f32 (neg.f32 ux) ux (*.f32 (*.f32 ux ux) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (*.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 (fma.f32 (neg.f32 ux) ux (fma.f32 (/.f32 (*.f32 ux ux) maxCos) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)))) (*.f32 maxCos maxCos))
(* (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) (- (* 2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal 2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2)))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 (/.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal -2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* 1/2 (/ (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) (* maxCos (pow ux 2)))) (pow ux 2)))
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 ux ux)) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* 1/2 (/ (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)) (* 1/4 (/ (pow (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) 2) (pow ux 4))))) (* (pow maxCos 2) (pow ux 2)))) (+ (* 1/2 (/ (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) (* maxCos (pow ux 2)))) (pow ux 2))))
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 ux #s(literal 3 binary32)))) ux)) (fma.f32 (/.f32 (pow.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (pow.f32 ux #s(literal 4 binary32))) #s(literal 1/4 binary32) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) ux)))) (*.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 ux ux)) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) maxCos) (*.f32 ux ux))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* 1/2 (/ (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)) (* 1/4 (/ (pow (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) 2) (pow ux 4))))) (* (pow maxCos 2) (pow ux 2)))) (+ (* 1/2 (/ (- (* -1 (/ (+ (* -1 (* (pow ux 2) (pow (- 1 ux) 3))) (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)))) ux)) (* 1/2 (/ (* (- (* -1 (/ (+ (* -1 (* (pow ux 2) (+ (* 2 (* ux (pow (- 1 ux) 2))) (* ux (pow (- 1 ux) 2))))) (* (pow ux 3) (pow (- 1 ux) 2))) ux)) (+ (* -1 (/ (* (- 1 ux) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) ux)) (* 1/4 (/ (pow (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) 2) (pow ux 4))))) (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux))))) (pow ux 4))))) (* (pow maxCos 3) (pow ux 2)))) (+ (* 1/2 (/ (- (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux)))) (* -1 (* (pow ux 3) (- 1 ux)))) (* maxCos (pow ux 2)))) (pow ux 2)))))
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 ux #s(literal 3 binary32)))) ux)) (fma.f32 (/.f32 (pow.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (pow.f32 ux #s(literal 4 binary32))) #s(literal 1/4 binary32) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) ux)))) (*.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 ux ux)) (/.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (*.f32 ux ux))) ux)) (fma.f32 (*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 ux #s(literal 3 binary32)))) ux)) (fma.f32 (/.f32 (pow.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (pow.f32 ux #s(literal 4 binary32))) #s(literal 1/4 binary32) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) ux)))) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) (pow.f32 ux #s(literal 4 binary32)))) #s(literal 1/2 binary32) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (/.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (*.f32 #s(literal 3 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 ux #s(literal 3 binary32)))) ux)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) ux))) ux)))) (pow.f32 maxCos #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 ux ux)) (/.f32 (fma.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) maxCos) (*.f32 ux ux)))) (*.f32 maxCos maxCos))
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 maxCos) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (cos.f32 (fma.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.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 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (neg.f32 (/.f32 (*.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 (*.f32 ux ux) maxCos)) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.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))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 ux ux (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32) (neg.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos))) maxCos))) (*.f32 maxCos maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (neg.f32 maxCos) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal -1 binary32) (neg.f32 ux)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- ux 1) 2) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 ux ux (neg.f32 (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) ux) (-.f32 ux #s(literal 1 binary32)) (neg.f32 (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) maxCos))) maxCos))) (*.f32 maxCos maxCos))
(* -1 (* maxCos (- (* -1 (/ (- ux 1) maxCos)) (* -1 ux))))
(*.f32 (neg.f32 maxCos) (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) ux)))
(* -1 (* maxCos (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (*.f32 (cos.f32 (fma.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy) (PI.f32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))))) maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* ux (sqrt -1))))) maxCos))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 ux #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) maxCos) (/.f32 (*.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 ux #s(literal 1 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux ux))) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) #s(literal 1/2 binary32))) maxCos))) maxCos))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (+ 1 (pow (- 1 ux) 2)) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 ux ux (neg.f32 (/.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32) (neg.f32 (/.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) maxCos))) maxCos))) (*.f32 maxCos maxCos))
(* -1 (* maxCos (* ux (cos (* 2 (* uy (PI)))))))
(*.f32 (*.f32 (neg.f32 maxCos) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))
(* -1 (* maxCos (+ (* ux (cos (* 2 (* uy (PI))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) maxCos))))
(*.f32 (neg.f32 maxCos) (fma.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* maxCos ux)))) maxCos)) (* ux (cos (* 2 (* uy (PI))))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux (neg.f32 (/.f32 (fma.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 maxCos ux)) #s(literal -1/2 binary32))) maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (pow ux 2)))) (* 1/2 (/ (cos (* 2 (* uy (PI)))) ux))) maxCos))) maxCos)) (* ux (cos (* 2 (* uy (PI))))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux (neg.f32 (/.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux) #s(literal 1/2 binary32) (*.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 ux ux)) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))) maxCos))) maxCos))))
(* -1 (* (pow maxCos 3) (+ (/ (* (pow ux 2) (- 1 ux)) maxCos) (pow ux 3))))
(*.f32 (neg.f32 (pow.f32 maxCos #s(literal 3 binary32))) (fma.f32 (*.f32 ux ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (pow.f32 ux #s(literal 3 binary32))))
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (/ (* ux (pow (- 1 ux) 2)) maxCos)) maxCos)) (pow ux 3))))
(*.f32 (neg.f32 (pow.f32 maxCos #s(literal 3 binary32))) (fma.f32 (/.f32 (-.f32 (*.f32 ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) maxCos) #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32))))
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -1 (* (pow ux 2) (- 1 ux))) (* -1 (/ (+ (* -1 (* ux (pow (- 1 ux) 2))) (* -1 (/ (pow (- 1 ux) 3) maxCos))) maxCos))) maxCos)) (pow ux 3))))
(*.f32 (neg.f32 (pow.f32 maxCos #s(literal 3 binary32))) (fma.f32 (/.f32 (-.f32 (neg.f32 (/.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) maxCos))) maxCos)) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) maxCos) #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32))))
(* (pow maxCos 2) (- (* 1/2 (/ (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (* maxCos (pow ux 2)))) (pow ux 2)))
(*.f32 (-.f32 (*.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 ux ux) maxCos)) #s(literal 1/2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (* 1/2 (/ (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (pow (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) 2) (pow ux 4))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux))) (pow ux 2)))) maxCos)) (* 1/2 (/ (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) ux) (/.f32 (-.f32 (-.f32 (*.f32 (neg.f32 ux) (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux) #s(literal -3 binary32))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux))) (fma.f32 (/.f32 (pow.f32 (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (pow.f32 ux #s(literal 4 binary32))) #s(literal 1/4 binary32) (/.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)) ux))) ux))) maxCos) #s(literal -1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux ux)))) maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- (+ 1 (* 1/2 (/ (- (+ (* -1 (* ux (pow (- 1 ux) 3))) (/ (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (pow (- 1 ux) 2)) ux)) (+ (* 1/2 (/ (* (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (pow (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) 2) (pow ux 4))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux)))) (pow ux 4))) (/ (* (- 1 ux) (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux))) ux))) (* maxCos (pow ux 2))))) (* 1/2 (/ (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (pow (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) 2) (pow ux 4))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux))) (pow ux 2)))) maxCos)) (* 1/2 (/ (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (-.f32 (-.f32 (*.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) (fma.f32 (/.f32 (*.f32 (-.f32 (-.f32 (*.f32 (neg.f32 ux) (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux) #s(literal -3 binary32))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux))) (fma.f32 (/.f32 (pow.f32 (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (pow.f32 ux #s(literal 4 binary32))) #s(literal 1/4 binary32) (/.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)) ux))) (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux)))) (pow.f32 ux #s(literal 4 binary32))) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 (-.f32 (*.f32 (neg.f32 ux) (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux) #s(literal -3 binary32))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux))) (/.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)) ux)) ux)))) (*.f32 (*.f32 ux ux) maxCos)) #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 (-.f32 (*.f32 (neg.f32 ux) (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux) #s(literal -3 binary32))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux))) (fma.f32 (/.f32 (pow.f32 (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (pow.f32 ux #s(literal 4 binary32))) #s(literal 1/4 binary32) (/.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)) ux))) (*.f32 ux ux))))) maxCos) #s(literal -1 binary32) (*.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux ux)))) maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (- (* -1 (/ (- 1 ux) maxCos)) (* -1 ux))))
(*.f32 (neg.f32 maxCos) (*.f32 #s(literal -1 binary32) (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2))))
(*.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) maxCos) (*.f32 (neg.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 (fma.f32 (neg.f32 ux) ux (neg.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 ux) ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux))) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (neg.f32 (/.f32 (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 (-.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 (- ux 1) 2)) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) maxCos) #s(literal -1 binary32) (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) #s(literal -2 binary32))) maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1/2 (/ (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (* maxCos (pow ux 2)))) (pow ux 2)))
(*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) maxCos) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux ux)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (pow (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) 2) (pow ux 4))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux))) (* maxCos (pow ux 2)))) (* 1/2 (/ (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 ux ux (neg.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 ux ux)) (/.f32 (-.f32 (-.f32 (*.f32 (neg.f32 ux) (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux) #s(literal -3 binary32))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux))) (fma.f32 (/.f32 (pow.f32 (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (pow.f32 ux #s(literal 4 binary32))) #s(literal 1/4 binary32) (/.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)) ux))) maxCos) (*.f32 (/.f32 (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 ux ux)) #s(literal 1/2 binary32))) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* -1 (* ux (pow (- 1 ux) 3))) (/ (* (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))) (pow (- 1 ux) 2)) ux)) (+ (* 1/2 (/ (* (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (pow (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) 2) (pow ux 4))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux)))) (pow ux 4))) (/ (* (- 1 ux) (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux))) ux))) (* maxCos (pow ux 2)))) (* 1/2 (/ (- (+ (* -1 (* ux (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (* ux (pow (- 1 ux) 2)))))) (* -1 (* (pow ux 2) (pow (- 1 ux) 2)))) (+ (* 1/4 (/ (pow (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) 2) (pow ux 4))) (/ (* (- 1 ux) (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux)))) ux))) (pow ux 2)))) maxCos)) (* 1/2 (/ (- (* -1 (* ux (+ (* 2 (* (pow ux 2) (- 1 ux))) (* (pow ux 2) (- 1 ux))))) (* (pow ux 3) (- 1 ux))) (pow ux 2)))) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 ux ux (neg.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) ux) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) ux) (neg.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (-.f32 (*.f32 (*.f32 #s(literal 3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) (fma.f32 (/.f32 (*.f32 (-.f32 (-.f32 (*.f32 (neg.f32 ux) (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux) #s(literal -3 binary32))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux))) (fma.f32 (/.f32 (pow.f32 (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (pow.f32 ux #s(literal 4 binary32))) #s(literal 1/4 binary32) (/.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)) ux))) (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux)))) (pow.f32 ux #s(literal 4 binary32))) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 (-.f32 (*.f32 (neg.f32 ux) (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux) #s(literal -3 binary32))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux))) (/.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)) ux)) ux)))) (*.f32 (*.f32 ux ux) maxCos)) #s(literal -1/2 binary32) (*.f32 (/.f32 #s(literal 1/2 binary32) ux) (/.f32 (-.f32 (-.f32 (*.f32 (neg.f32 ux) (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux) #s(literal -3 binary32))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux))) (fma.f32 (/.f32 (pow.f32 (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (pow.f32 ux #s(literal 4 binary32))) #s(literal 1/4 binary32) (/.f32 (*.f32 (-.f32 (*.f32 (*.f32 #s(literal -3 binary32) (*.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) ux))) ux) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)) ux))) ux))) maxCos))) maxCos))) (*.f32 maxCos maxCos))

rewrite211.0ms (2.1%)

Memory
-5.0MiB live, 229.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063393
0110279
1459275
23637272
08180268
Stop Event
iter limit
node limit
iter limit
Counts
26 → 977
Calls
Call 1
Inputs
(*.f32 (cos.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 #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)))))
(cos.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))
(*.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(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))
(-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))))
(fma.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32) #s(literal 1 binary32))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32) #s(literal 1 binary32))))
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))
(-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))
(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))
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #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))))
(*.f32 (PI.f32) (PI.f32))
(-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))
(*.f32 (/.f32 (sqrt.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
Outputs
(*.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)))))) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (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)))))))
(-.f32 (*.f32 (cos.f32 (*.f32 uy (PI.f32))) (cos.f32 (*.f32 uy (PI.f32)))) (*.f32 (sin.f32 (*.f32 uy (PI.f32))) (sin.f32 (*.f32 uy (PI.f32)))))
(fma.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy))) #s(literal 0 binary32) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) #s(literal 1 binary32)))
(fma.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) #s(literal 0 binary32) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))))
(sin.f32 (+.f32 (neg.f32 (*.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy))) (/.f32 (PI.f32) #s(literal 2 binary32))))
(sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32))))
(sin.f32 (fma.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32))))
(+.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy))) #s(literal 0 binary32)) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) #s(literal 1 binary32)))
(+.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))))
(+.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) #s(literal 0 binary32)) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) #s(literal 1 binary32)))
(cos.f32 (neg.f32 (neg.f32 (*.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))))
(cos.f32 (neg.f32 (*.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy))))
(cos.f32 (*.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))
(cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) uy) #s(literal 2 binary32)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))
(*.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))
(*.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32)))
(*.f32 uy (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) uy)
(*.f32 uy #s(literal 2 binary32))
(+.f32 uy uy)
(*.f32 (pow.f32 (/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)))) #s(literal 1 binary32)) (pow.f32 (fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (pow.f32 (sqrt.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(literal 1 binary32)) (pow.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) #s(literal 1 binary32)))
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(fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 1 binary32)))
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(fma.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))
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(fma.f32 ux (*.f32 maxCos (fma.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)))
(fma.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(pow.f32 (exp.f32 (log.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) #s(literal 1/2 binary32))
(pow.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))
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(pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))
(fabs.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))
(+.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 1 binary32)))
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(+.f32 (cosh.f32 (log.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (sinh.f32 (log.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))
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(/.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) #s(literal 3/2 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (neg.f32 (sqrt.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) (*.f32 (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))))
(/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (sqrt.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))))
(/.f32 (*.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (neg.f32 (sqrt.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))))
(/.f32 (*.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))) (sqrt.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))))
(/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (neg.f32 (sqrt.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) (*.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))))
(/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (sqrt.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))))
(/.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))
(/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))
(-.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 maxCos ux)))
(-.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (neg.f32 ux) maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.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)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 1 binary32)))
(fma.f32 (*.f32 maxCos ux) (fma.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)))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos ux) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.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 #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))
(fma.f32 maxCos (*.f32 ux (fma.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)))
(fma.f32 ux (*.f32 maxCos (fma.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)))
(fma.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(pow.f32 (exp.f32 (log.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) #s(literal 1/2 binary32))
(pow.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))
(pow.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 2 binary32))
(fabs.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))
(+.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #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 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(+.f32 (cosh.f32 (log.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (sinh.f32 (log.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))
(+.f32 (*.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)) (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (*.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))
(exp.f32 (fma.f32 (log.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32) (*.f32 (log.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(exp.f32 (*.f32 (*.f32 (log.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (log.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(neg.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(*.f32 (pow.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (pow.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (fabs.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (pow.f32 (fabs.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (fabs.f32 (-.f32 #s(literal 1 binary32) ux)) (fabs.f32 (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (exp.f32 (log.f32 (-.f32 #s(literal 1 binary32) ux))) (exp.f32 (log.f32 (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) ux)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 2 binary32)) (pow.f32 (+.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32)))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (log.f32 (-.f32 #s(literal 1 binary32) ux)))
(pow.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))
(pow.f32 (fabs.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log.f32 (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))
(pow.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 (cosh.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sinh.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(exp.f32 (fma.f32 (log.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32) (*.f32 (log.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))))
(exp.f32 (*.f32 (*.f32 (log.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (log.f32 (-.f32 #s(literal 1 binary32) ux)))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))

eval205.0ms (2.1%)

Memory
-21.2MiB live, 312.5MiB allocated
Compiler

Compiled 60 821 to 5 928 computations (90.3% saved)

prune120.0ms (1.2%)

Memory
-46.2MiB live, 145.8MiB allocated
Pruning

48 alts after pruning (47 fresh and 1 done)

PrunedKeptTotal
New1 018411 059
Fresh27633
Picked415
Done000
Total1 049481 097
Accuracy
99.4%
Counts
1 097 → 48
Alt Table
Click to see full alt table
StatusAccuracyProgram
25.0%
(/.f32 (+.f32 (cos.f32 (-.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) (cos.f32 (+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))) #s(literal 2 binary32))
50.6%
(*.f32 (fma.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) #s(literal 0 binary32) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) #s(literal 1 binary32))) (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)))))
69.8%
(*.f32 (-.f32 (*.f32 (cos.f32 (*.f32 uy (PI.f32))) (cos.f32 (*.f32 uy (PI.f32)))) (*.f32 (sin.f32 (*.f32 uy (PI.f32))) (sin.f32 (*.f32 uy (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)))))
57.7%
(*.f32 (sin.f32 (+.f32 (neg.f32 (*.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy))) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))))
57.8%
(*.f32 (cos.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))))
57.7%
(*.f32 (cos.f32 (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))))
41.2%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1 binary32)))))
42.6%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.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 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
55.4%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32)))))))
58.0%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))))))
58.8%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)) ux))))))
40.3%
(*.f32 (cos.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 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))))
20.6%
(*.f32 (cos.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 maxCos ux) ux) maxCos)))))
77.0%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (/ (sqrt (* (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 2) (pow (* maxCos ux) 2)))) (sqrt (- (- 1 ux) (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 #s(literal -1/2 binary32) ux) (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos)))))))
98.8%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
77.0%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)))))
57.5%
(*.f32 (cos.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 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
98.8%
(*.f32 (cos.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 4 binary32) (*.f32 maxCos maxCos)) #s(literal 4 binary32)) (-.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)))))
98.0%
(*.f32 (cos.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 (+ (* -2 maxCos) 2) (*.f32 (-.f32 (/.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 ux ux)))))
69.8%
(*.f32 (cos.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 (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))))
69.9%
(*.f32 (cos.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 (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux 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)))))
92.5%
(*.f32 (cos.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 (* (- (/ (+ (* -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))))))
19.9%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1) #s(literal 2 binary32))))
50.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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))))))
48.6%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos (*.f32 ux (fma.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))))))
48.6%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
48.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
51.1%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
48.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
51.0%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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))))))
50.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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))))))
48.0%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))))
25.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
48.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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))))))
51.8%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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))))))
21.3%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
6.6%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
19.7%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos ux) (*.f32 maxCos ux))))))
6.6%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #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)))))
63.4%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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))))
76.6%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux 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))))
54.0%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (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))))))
50.8%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 uy uy))) (*.f32 uy 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))))))
5.3%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.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))))))
76.8%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))
48.6%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32)))))
10.0%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (*.f32 (*.f32 maxCos ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
4.1%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (*.f32 (neg.f32 ux) (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))))
Compiler

Compiled 3 822 to 2 473 computations (35.3% saved)

simplify115.0ms (1.2%)

Memory
39.6MiB live, 128.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
cost-diff0
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff0
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))))))
cost-diff1
(-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))
cost-diff0
(*.f32 uy #s(literal 2 binary32))
cost-diff0
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
cost-diff0
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff0
(*.f32 (cos.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 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
cost-diff0
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32)))
cost-diff0
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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-diff1
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff1
(-.f32 #s(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 (*.f32 uy uy) #s(literal -2 binary32))
cost-diff0
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
cost-diff0
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
cost-diff0
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #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)))))
cost-diff0
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
cost-diff0
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff0
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
cost-diff2
(-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071785
0120785
1218785
2509775
31668775
44142775
08156727
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
(cos.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 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))))
#s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))
(*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
(-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32))
(/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(-.f32 #s(literal 1 binary32) maxCos)
#s(literal 1 binary32)
maxCos
ux
(pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))
(*.f32 ux ux)
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #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)))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 (*.f32 uy uy) #s(literal -2 binary32))
(*.f32 uy uy)
uy
#s(literal -2 binary32)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#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))))
(-.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))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#s(literal -2 binary32)
(*.f32 uy uy)
uy
#s(literal 1 binary32)
(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))))
(*.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 (cos.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 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(cos.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 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
#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 (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
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))))))
(cos.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 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)))))
(-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))))
#s(literal 1 binary32)
(*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)))
(-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))
(-.f32 ux (*.f32 maxCos ux))
ux
(*.f32 maxCos ux)
maxCos
#s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))
(*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)
(-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos))
(-.f32 (/.f32 ux maxCos) ux)
(/.f32 ux maxCos)
(/.f32 #s(literal 1 binary32) maxCos)
Outputs
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (*.f32 ux ux) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 #s(literal 1 binary32) maxCos))))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))
(*.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 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))))
(sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (*.f32 ux ux) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 #s(literal 1 binary32) maxCos)))))
#s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))
#s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (*.f32 ux ux) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 #s(literal 1 binary32) maxCos))))
(*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
(*.f32 (*.f32 ux ux) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 #s(literal 1 binary32) maxCos)))
(-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 #s(literal 1 binary32) maxCos))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32))
(/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(-.f32 #s(literal 1 binary32) maxCos)
#s(literal 1 binary32)
maxCos
ux
(pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))
(*.f32 ux ux)
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #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)))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))) #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) #s(literal 1 binary32))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) #s(literal 1 binary32))
(*.f32 (*.f32 uy uy) #s(literal -2 binary32))
(*.f32 #s(literal -2 binary32) (*.f32 uy uy))
(*.f32 uy uy)
uy
#s(literal -2 binary32)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#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))))
(-.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))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 1 binary32))) #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) #s(literal 1 binary32))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32)))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) #s(literal 1 binary32))
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#s(literal -2 binary32)
(*.f32 uy uy)
uy
#s(literal 1 binary32)
(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 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #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 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 ux (fma.f32 maxCos 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 (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
(*.f32 (cos.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 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))
(*.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 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
#s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
(*.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
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))
(*.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 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))))
(-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))))
(-.f32 #s(literal 1 binary32) (*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))))
#s(literal 1 binary32)
(*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)))
(*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))
(-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))
(-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))
(-.f32 ux (*.f32 maxCos ux))
ux
(*.f32 maxCos ux)
maxCos
#s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))
(*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)
(-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos))
(-.f32 (/.f32 ux maxCos) ux)
(/.f32 ux maxCos)
(/.f32 #s(literal 1 binary32) maxCos)

localize185.0ms (1.9%)

Memory
-30.3MiB live, 208.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.30859375
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.44921875
(*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)))
accuracy0.45703125000524847
(*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)
accuracy13.08797032170482
(-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))))
accuracy0.14453125
(*.f32 (cos.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 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
accuracy0.30859375
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy2.392675728495496
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
accuracy7.954706357371878
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
accuracy1.0
(*.f32 (PI.f32) (PI.f32))
accuracy3.211025896906581
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32)))
accuracy6.127137080226681
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))
accuracy13.08797032170482
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
accuracy3.211025896906581
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
accuracy9.800980144402502
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))
accuracy13.08797032170482
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))
accuracy28.79402571976838
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
accuracy0.12239793710950655
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
accuracy0.14453125
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
accuracy0.30859375
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.3545112793053261
(*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
Samples
105.0ms254×0valid
1.0ms1valid
Compiler

Compiled 604 to 49 computations (91.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-mult: 27.0ms (45% of total)
ival-sub: 10.0ms (16.7% of total)
ival-cosu: 7.0ms (11.7% of total)
ival-div: 5.0ms (8.3% of total)
ival-add: 4.0ms (6.7% of total)
ival-sqrt: 3.0ms (5% of total)
ival-pow2: 2.0ms (3.3% of total)
ival-pi: 1.0ms (1.7% 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)

series47.0ms (0.5%)

Memory
-8.2MiB live, 34.6MiB allocated
Counts
26 → 165
Calls
Call 1
Inputs
(-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #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)))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 (*.f32 uy uy) #s(literal -2 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))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32)))
(*.f32 (cos.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 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 uy #s(literal 2 binary32))
(-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))))))
(*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #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 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))
(*.f32 (PI.f32) (PI.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))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))))
(*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)
(*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)))
Outputs
(* 2 (/ (- 1 maxCos) ux))
(/ (+ (* -1 (* ux (pow (- 1 maxCos) 2))) (* 2 (- 1 maxCos))) ux)
(* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2)))
(+ (* -1/2 (* (sqrt (* (pow ux 3) (pow (- 1 maxCos) 3))) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))))
(+ (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/8 (* (sqrt (* ux (pow (- 1 maxCos) 5))) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))))))
(+ (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ (pow (- 1 maxCos) 5) (pow ux 3))) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (* -1/16 (* (sqrt (/ (pow (- 1 maxCos) 7) ux)) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 5)))))))))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
1
(+ 1 (* ux (- maxCos 1)))
-1
(- (* ux (- 1 maxCos)) 1)
(* 2 (* ux (- 1 maxCos)))
(* ux (+ (* -1 (* ux (pow (- 1 maxCos) 2))) (* 2 (- 1 maxCos))))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(* ux (- (* -1 (* ux (pow (- 1 maxCos) 2))) (* -2 (- 1 maxCos))))
(- (* maxCos (* ux (- (/ 1 maxCos) 1))) 1)
(+ 1 (* -2 (* ux (- 1 maxCos))))
(+ 1 (* ux (+ (* -2 (- 1 maxCos)) (* ux (pow (- 1 maxCos) 2)))))
(* -1 (pow (- 1 maxCos) 2))
(- (* 2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2))
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))))
(* ux (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1)))))
(* ux (+ (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1))))))
(* ux (+ (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* 1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- 1 maxCos) 2))))) (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1)))))))
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 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))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- 1 maxCos))
(* ux (- 1 (+ maxCos (/ 1 ux))))
(* -1 (* (pow ux 2) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (+ (* -1 (pow (- 1 maxCos) 2)) (* 2 (/ (- 1 maxCos) 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 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2)))
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux)))
(* (pow ux 2) (pow (- 1 maxCos) 2))
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (+ (/ 1 (pow ux 2)) (pow (- 1 maxCos) 2))))
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 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)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* ux (+ 1 (* -1 maxCos)))
(* -1 (* ux (- (/ 1 ux) (+ 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)))
(* -1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(* -1 (* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux))))
(sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))))
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))))))
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))))))))
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4))))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* 2 (* uy (PI)))
(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))
(* -2 (pow uy 2))
(* 2 uy)
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))
(cos (* 2 (* uy (PI))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* -2 (* (pow uy 2) (pow (PI) 2)))
(* (pow uy 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow uy 2))))
(- (* 2 (/ 1 ux)) 1)
(- (+ (* 2 (/ 1 ux)) (* maxCos (- 2 (* 2 (/ 1 ux))))) 1)
(- (+ (* 2 (/ 1 ux)) (* maxCos (- (+ 2 (* -1 maxCos)) (* 2 (/ 1 ux))))) 1)
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))
(+ (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))) (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))))
(+ (* maxCos (+ (* maxCos (+ (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* 1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (- ux 1))))) (sqrt (/ 1 (pow (- 1 (pow (- ux 1) 2)) 3))))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 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)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 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 (* (* (cos (* 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)))))))))) (* (cos (* 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 ux)
(- (+ 1 (* maxCos ux)) ux)
(- ux 1)
(- (+ ux (* -1 (* maxCos ux))) 1)
(* (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)))
(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))
2
(+ 2 (* -2 maxCos))
(- 1 (pow (- ux 1) 2))
(- (+ 1 (* 2 (* maxCos (* ux (- ux 1))))) (pow (- ux 1) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* -2 (* ux (- ux 1)))))) (pow (- ux 1) 2))
(pow (- ux 1) 2)
(+ (* -2 (* maxCos (* ux (- ux 1)))) (pow (- ux 1) 2))
(+ (* maxCos (+ (* -2 (* ux (- ux 1))) (* maxCos (pow ux 2)))) (pow (- ux 1) 2))
(* -1 (pow maxCos 2))
(* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 2 (* maxCos ux)))))
(* (pow maxCos 2) (- (+ (* 2 (/ 1 maxCos)) (* 2 (/ 1 (* (pow maxCos 2) ux)))) (+ 1 (+ (/ 1 (pow maxCos 2)) (/ 2 (* maxCos ux))))))
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))
(* maxCos (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 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)))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* -1 (* maxCos ux))
(* maxCos (- (/ ux maxCos) (+ ux (/ 1 maxCos))))
(* (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) (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))))
(* -2 maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* (pow maxCos 2) (- (* 2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2)))))
(* maxCos (- (+ (* -1 ux) (/ ux maxCos)) (/ 1 maxCos)))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (- (* -1 (/ (- (* 2 (/ 1 ux)) 2) maxCos)) 1))
(* (pow maxCos 2) (- (* -1 (/ (- (+ (* -1 (/ (- (* 2 (/ 1 ux)) 1) maxCos)) (* 2 (/ 1 ux))) 2) maxCos)) 1))
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* ux (sqrt -1))))) maxCos))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (- (* -1 (/ (- ux 1) maxCos)) (* -1 ux))))
(* (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 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- ux 1) 2)) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos)))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- ux 1) 2) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2)))
Calls

9 calls:

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

simplify166.0ms (1.7%)

Memory
32.4MiB live, 214.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07604434
126014202
086864018
Stop Event
iter limit
node limit
Counts
165 → 165
Calls
Call 1
Inputs
(* 2 (/ (- 1 maxCos) ux))
(/ (+ (* -1 (* ux (pow (- 1 maxCos) 2))) (* 2 (- 1 maxCos))) ux)
(* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2)))
(+ (* -1/2 (* (sqrt (* (pow ux 3) (pow (- 1 maxCos) 3))) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))))
(+ (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/8 (* (sqrt (* ux (pow (- 1 maxCos) 5))) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))))))
(+ (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ (pow (- 1 maxCos) 5) (pow ux 3))) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (* -1/16 (* (sqrt (/ (pow (- 1 maxCos) 7) ux)) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 5)))))))))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
1
(+ 1 (* ux (- maxCos 1)))
-1
(- (* ux (- 1 maxCos)) 1)
(* 2 (* ux (- 1 maxCos)))
(* ux (+ (* -1 (* ux (pow (- 1 maxCos) 2))) (* 2 (- 1 maxCos))))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(* ux (- (* -1 (* ux (pow (- 1 maxCos) 2))) (* -2 (- 1 maxCos))))
(- (* maxCos (* ux (- (/ 1 maxCos) 1))) 1)
(+ 1 (* -2 (* ux (- 1 maxCos))))
(+ 1 (* ux (+ (* -2 (- 1 maxCos)) (* ux (pow (- 1 maxCos) 2)))))
(* -1 (pow (- 1 maxCos) 2))
(- (* 2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2))
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))))
(* ux (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1)))))
(* ux (+ (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1))))))
(* ux (+ (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* 1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- 1 maxCos) 2))))) (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1)))))))
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 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))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- 1 maxCos))
(* ux (- 1 (+ maxCos (/ 1 ux))))
(* -1 (* (pow ux 2) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (+ (* -1 (pow (- 1 maxCos) 2)) (* 2 (/ (- 1 maxCos) 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 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2)))
(* maxCos (* ux (- (/ 1 maxCos) 1)))
(* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux)))
(* (pow ux 2) (pow (- 1 maxCos) 2))
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (+ (/ 1 (pow ux 2)) (pow (- 1 maxCos) 2))))
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 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)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* ux (+ 1 (* -1 maxCos)))
(* -1 (* ux (- (/ 1 ux) (+ 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)))
(* -1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(* -1 (* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux))))
(sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))))
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))))))
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))))))))
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4))))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* 2 (* uy (PI)))
(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))
(* -2 (pow uy 2))
(* 2 uy)
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))
(cos (* 2 (* uy (PI))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* -2 (* (pow uy 2) (pow (PI) 2)))
(* (pow uy 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow uy 2))))
(- (* 2 (/ 1 ux)) 1)
(- (+ (* 2 (/ 1 ux)) (* maxCos (- 2 (* 2 (/ 1 ux))))) 1)
(- (+ (* 2 (/ 1 ux)) (* maxCos (- (+ 2 (* -1 maxCos)) (* 2 (/ 1 ux))))) 1)
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))
(+ (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))) (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))))
(+ (* maxCos (+ (* maxCos (+ (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* 1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (- ux 1))))) (sqrt (/ 1 (pow (- 1 (pow (- ux 1) 2)) 3))))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 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)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 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 (* (* (cos (* 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)))))))))) (* (cos (* 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 ux)
(- (+ 1 (* maxCos ux)) ux)
(- ux 1)
(- (+ ux (* -1 (* maxCos ux))) 1)
(* (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)))
(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))
2
(+ 2 (* -2 maxCos))
(- 1 (pow (- ux 1) 2))
(- (+ 1 (* 2 (* maxCos (* ux (- ux 1))))) (pow (- ux 1) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* -2 (* ux (- ux 1)))))) (pow (- ux 1) 2))
(pow (- ux 1) 2)
(+ (* -2 (* maxCos (* ux (- ux 1)))) (pow (- ux 1) 2))
(+ (* maxCos (+ (* -2 (* ux (- ux 1))) (* maxCos (pow ux 2)))) (pow (- ux 1) 2))
(* -1 (pow maxCos 2))
(* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 2 (* maxCos ux)))))
(* (pow maxCos 2) (- (+ (* 2 (/ 1 maxCos)) (* 2 (/ 1 (* (pow maxCos 2) ux)))) (+ 1 (+ (/ 1 (pow maxCos 2)) (/ 2 (* maxCos ux))))))
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))
(* maxCos (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 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)))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* -1 (* maxCos ux))
(* maxCos (- (/ ux maxCos) (+ ux (/ 1 maxCos))))
(* (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) (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))))
(* -2 maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* (pow maxCos 2) (- (* 2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2)))))
(* maxCos (- (+ (* -1 ux) (/ ux maxCos)) (/ 1 maxCos)))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (- (* -1 (/ (- (* 2 (/ 1 ux)) 2) maxCos)) 1))
(* (pow maxCos 2) (- (* -1 (/ (- (+ (* -1 (/ (- (* 2 (/ 1 ux)) 1) maxCos)) (* 2 (/ 1 ux))) 2) maxCos)) 1))
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* ux (sqrt -1))))) maxCos))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (- (* -1 (/ (- ux 1) maxCos)) (* -1 ux))))
(* (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 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- ux 1) 2)) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos)))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- ux 1) 2) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2)))
Outputs
(* 2 (/ (- 1 maxCos) ux))
(/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(/ (+ (* -1 (* ux (pow (- 1 maxCos) 2))) (* 2 (- 1 maxCos))) ux)
(/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux)
(* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2)))
(*.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (sqrt.f32 #s(literal 2 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))
(+ (* -1/2 (* (sqrt (* (pow ux 3) (pow (- 1 maxCos) 3))) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 3 binary32))) (*.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (sqrt.f32 #s(literal 2 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(+ (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/8 (* (sqrt (* ux (pow (- 1 maxCos) 5))) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) ux)) (*.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) ux)))) (*.f32 ux ux) (*.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (sqrt.f32 #s(literal 2 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(+ (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ (pow (- 1 maxCos) 5) (pow ux 3))) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (* -1/16 (* (sqrt (/ (pow (- 1 maxCos) 7) ux)) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 5)))))))))
(fma.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (sqrt.f32 #s(literal 2 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) ux))) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal 2 binary32))) (*.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32)))) (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 7 binary32)) ux)) (*.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) (pow.f32 ux #s(literal 3 binary32)))))) (*.f32 ux ux))) (*.f32 ux ux)))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) 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)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)))) (*.f32 (*.f32 #s(literal -1/16 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)))))) (*.f32 ux ux))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) 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 (-.f32 #s(literal 2 binary32) (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (*.f32 #s(literal 2 binary32) maxCos))) ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
-1
#s(literal -1 binary32)
(- (* ux (- 1 maxCos)) 1)
(-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32)))
(* 2 (* ux (- 1 maxCos)))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32))
(* ux (+ (* -1 (* ux (pow (- 1 maxCos) 2))) (* 2 (- 1 maxCos))))
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(+ 1 (* ux (- (* 2 maxCos) 2)))
(fma.f32 (-.f32 (*.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)))
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(* ux (- (* -1 (* ux (pow (- 1 maxCos) 2))) (* -2 (- 1 maxCos))))
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(- (* maxCos (* ux (- (/ 1 maxCos) 1))) 1)
(-.f32 (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32)) ux) maxCos) #s(literal 1 binary32))
(+ 1 (* -2 (* ux (- 1 maxCos))))
(fma.f32 (*.f32 #s(literal -2 binary32) ux) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))
(+ 1 (* ux (+ (* -2 (- 1 maxCos)) (* ux (pow (- 1 maxCos) 2)))))
(fma.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux #s(literal 1 binary32))
(* -1 (pow (- 1 maxCos) 2))
(neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))
(- (* 2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2))
(-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))))
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(* ux (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1)))))
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(* ux (+ (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1))))))
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(* ux (+ (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* 1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- 1 maxCos) 2))))) (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1)))))))
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(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
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(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
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(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 ux ux))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (*.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)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32)))))) ux)
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 ux ux))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (pow.f32 ux #s(literal 3 binary32)))) (/.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)))) (fma.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (*.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)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32))))))) ux)
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(neg.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) 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 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 (+ maxCos (/ 1 ux))))
(*.f32 (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)) ux)
(* -1 (* (pow ux 2) (pow (- 1 maxCos) 2)))
(*.f32 (neg.f32 ux) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux))
(* (pow ux 2) (+ (* -1 (pow (- 1 maxCos) 2)) (* 2 (/ (- 1 maxCos) ux))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux 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))))
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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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(* (pow ux 2) (- (* 2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2)))
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(* maxCos (* ux (- (/ 1 maxCos) 1)))
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32)) ux) maxCos)
(* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux)))
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(* (pow ux 2) (pow (- 1 maxCos) 2))
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(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2)))
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(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (+ (/ 1 (pow ux 2)) (pow (- 1 maxCos) 2))))
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(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(*.f32 (neg.f32 ux) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
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(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
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(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
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(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
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(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) maxCos))
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(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (* ux (- (/ 1 ux) (+ 1 (* -1 maxCos)))))
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(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
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(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
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(* -1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
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(* -1 (* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux))))
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(sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32))))
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(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))))))
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(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))))))))
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(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4))))))
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(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
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(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32))))
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(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))
(fma.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32) (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) uy) uy))) (*.f32 uy uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (*.f32 (*.f32 (*.f32 uy uy) (*.f32 uy uy)) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (*.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 uy uy) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))))))
(* -2 (pow uy 2))
(*.f32 (*.f32 uy uy) #s(literal -2 binary32))
(* 2 uy)
(*.f32 #s(literal 2 binary32) uy)
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))
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(cos (* 2 (* uy (PI))))
(cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
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(* -2 (* (pow uy 2) (pow (PI) 2)))
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(* (pow uy 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow uy 2))))
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(- (* 2 (/ 1 ux)) 1)
(-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))
(- (+ (* 2 (/ 1 ux)) (* maxCos (- 2 (* 2 (/ 1 ux))))) 1)
(-.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos (/.f32 #s(literal 2 binary32) ux)) #s(literal 1 binary32))
(- (+ (* 2 (/ 1 ux)) (* maxCos (- (+ 2 (* -1 maxCos)) (* 2 (/ 1 ux))))) 1)
(-.f32 (fma.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux)) maxCos (/.f32 #s(literal 2 binary32) ux)) #s(literal 1 binary32))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))
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(+ (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))) (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 ux maxCos)) (*.f32 (-.f32 ux #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (fma.f32 (*.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 ux ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(+ (* maxCos (+ (* maxCos (+ (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* 1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (- ux 1))))) (sqrt (/ 1 (pow (- 1 (pow (- ux 1) 2)) 3))))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))))
(fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (fma.f32 (*.f32 ux (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 ux #s(literal 1 binary32)) (*.f32 (*.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 ux ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))) (*.f32 (*.f32 maxCos #s(literal 1/2 binary32)) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 ux maxCos)) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 ux ux)) (-.f32 ux #s(literal 1 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(* (cos (* 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)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (*.f32 (neg.f32 maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (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)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 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)))))))) (* (cos (* 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 (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)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (neg.f32 ux) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) 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)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 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 (* (* (cos (* 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)))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (*.f32 maxCos #s(literal -1/2 binary32)) (*.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 ux 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)) (-.f32 #s(literal 1 binary32) ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (*.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 (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)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (neg.f32 ux) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) 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)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) 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))
(fma.f32 (fma.f32 (neg.f32 maxCos) (*.f32 ux ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32))) maxCos (-.f32 #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 ux maxCos #s(literal 1 binary32)) ux)
(- ux 1)
(-.f32 ux #s(literal 1 binary32))
(- (+ ux (* -1 (* maxCos ux))) 1)
(-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)
(+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(fma.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) 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) ux) #s(literal 1 binary32)) ux) ux (*.f32 (*.f32 (*.f32 ux ux) (-.f32 (-.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux))) maxCos))
(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 (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)))
2
#s(literal 2 binary32)
(+ 2 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(- 1 (pow (- ux 1) 2))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(- (+ 1 (* 2 (* maxCos (* ux (- ux 1))))) (pow (- ux 1) 2))
(fma.f32 (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* -2 (* ux (- ux 1)))))) (pow (- ux 1) 2))
(fma.f32 (fma.f32 (neg.f32 maxCos) (*.f32 ux ux) (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))) maxCos (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))
(pow (- ux 1) 2)
(pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))
(+ (* -2 (* maxCos (* ux (- ux 1)))) (pow (- ux 1) 2))
(fma.f32 (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) #s(literal -2 binary32)) maxCos (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(+ (* maxCos (+ (* -2 (* ux (- ux 1))) (* maxCos (pow ux 2)))) (pow (- ux 1) 2))
(fma.f32 (fma.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) #s(literal -2 binary32) (*.f32 (*.f32 ux ux) maxCos)) maxCos (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(* -1 (pow maxCos 2))
(*.f32 (neg.f32 maxCos) maxCos)
(* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 2 (* maxCos ux)))))
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 2 binary32) maxCos) ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (+ (* 2 (/ 1 maxCos)) (* 2 (/ 1 (* (pow maxCos 2) ux)))) (+ 1 (+ (/ 1 (pow maxCos 2)) (/ 2 (* maxCos ux))))))
(*.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 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (/.f32 (/.f32 #s(literal 2 binary32) maxCos) ux))) (*.f32 maxCos maxCos))
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))
(* maxCos (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))
(*.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))
(*.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)))) maxCos)
(* maxCos (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (pow.f32 maxCos #s(literal 3 binary32)))) (/.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 ux #s(literal 1 binary32))) (*.f32 (*.f32 (neg.f32 ux) ux) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))) maxCos)
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (fma.f32 (cos.f32 (fma.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) maxCos)
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (cos.f32 (fma.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (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 (*.f32 maxCos maxCos) ux)) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))) maxCos)
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) maxCos) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 maxCos #s(literal 3 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 (*.f32 (neg.f32 ux) 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 (*.f32 maxCos maxCos) ux)) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32))))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))) maxCos)
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (neg.f32 maxCos) (*.f32 (*.f32 ux ux) maxCos))
(* (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 #s(literal 2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (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 ux maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(* -1 (* maxCos ux))
(*.f32 (neg.f32 ux) maxCos)
(* maxCos (- (/ ux maxCos) (+ ux (/ 1 maxCos))))
(*.f32 (-.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) ux) maxCos)
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)))
(*.f32 (*.f32 (*.f32 ux ux) (+.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (*.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) (pow ux 2))
(*.f32 (*.f32 (*.f32 maxCos maxCos) ux) ux)
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) maxCos) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 (*.f32 #s(literal 2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos)))) (*.f32 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)
(* (pow maxCos 2) (- (* 2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal 2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2)))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(* maxCos (- (+ (* -1 ux) (/ ux maxCos)) (/ 1 maxCos)))
(*.f32 (-.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) ux) maxCos)
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2)))
(*.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal -2 binary32) (*.f32 ux ux)) maxCos) maxCos)
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 (*.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 maxCos maxCos)))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* 2 (/ 1 ux)) 2) maxCos)) 1))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) (neg.f32 maxCos)) #s(literal 1 binary32)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (+ (* -1 (/ (- (* 2 (/ 1 ux)) 1) maxCos)) (* 2 (/ 1 ux))) 2) maxCos)) 1))
(*.f32 (-.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux)) #s(literal 2 binary32)) (neg.f32 maxCos)) #s(literal 1 binary32)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (neg.f32 maxCos) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(* -1 (* maxCos (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 ux (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (*.f32 (cos.f32 (fma.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy) (PI.f32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* ux (sqrt -1))))) maxCos))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 ux (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (neg.f32 (fma.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 ux #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (*.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 ux #s(literal 1 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (*.f32 (neg.f32 maxCos) (*.f32 ux ux)) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) maxCos))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (cos.f32 (fma.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 ux (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 #s(literal -1 binary32)) (/.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 ux maxCos)) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 ux (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (neg.f32 ux) 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))) 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) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (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 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))
(* -1 (* maxCos (- (* -1 (/ (- ux 1) maxCos)) (* -1 ux))))
(*.f32 (neg.f32 maxCos) (fma.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) #s(literal -1 binary32) 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 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) ux) ux (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (neg.f32 maxCos)))) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (fma.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)) (neg.f32 maxCos))) (*.f32 maxCos maxCos))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- ux 1) 2)) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) maxCos) #s(literal -1 binary32) (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) #s(literal -2 binary32))) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos)))))
(*.f32 (neg.f32 maxCos) (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal 1 binary32)) maxCos) ux))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- ux 1) 2) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 ux ux (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (-.f32 ux #s(literal 1 binary32))) ux (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (neg.f32 maxCos))) (neg.f32 maxCos))) (*.f32 maxCos maxCos))

rewrite207.0ms (2.1%)

Memory
-4.8MiB live, 236.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071454
0120403
1429403
23029397
08393375
Stop Event
iter limit
node limit
iter limit
Counts
26 → 449
Calls
Call 1
Inputs
(-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #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)))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 (*.f32 uy uy) #s(literal -2 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))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32)))
(*.f32 (cos.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 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 uy #s(literal 2 binary32))
(-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))))))
(*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #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 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))
(*.f32 (PI.f32) (PI.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))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))))
(*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)
(*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)))
Outputs
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 4 binary32)))) (neg.f32 (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 6 binary32)))) (neg.f32 (fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) #s(literal 4 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))))))
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 4 binary32))) (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 6 binary32))) (fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) #s(literal 4 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))
(-.f32 (/.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #s(literal 2 binary32)) (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 4 binary32)) (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))))
(-.f32 (/.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) #s(literal 3 binary32)) (fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) #s(literal 4 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 6 binary32)) (fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) #s(literal 4 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))))))
(-.f32 (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))
(fma.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 #s(literal 1 binary32) maxCos)))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 #s(literal 1 binary32) maxCos)))
(fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 #s(literal 1 binary32) maxCos)))
(+.f32 (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 #s(literal 1 binary32) maxCos)))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 ux ux) (-.f32 (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))))) (cos.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 ux ux) (-.f32 (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))))))
(-.f32 (*.f32 (cos.f32 (*.f32 uy (PI.f32))) (cos.f32 (*.f32 uy (PI.f32)))) (*.f32 (sin.f32 (*.f32 uy (PI.f32))) (sin.f32 (*.f32 uy (PI.f32)))))
(fma.f32 (sin.f32 (*.f32 (neg.f32 uy) (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 0 binary32) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))) #s(literal 1 binary32)))
(fma.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))) #s(literal 0 binary32) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32))))))
(sin.f32 (+.f32 (neg.f32 (*.f32 (neg.f32 uy) (*.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (PI.f32) #s(literal 2 binary32))))
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(sin.f32 (fma.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
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(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 5 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (neg.f32 (neg.f32 (PI.f32))) (neg.f32 (neg.f32 (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (neg.f32 (PI.f32)) (neg.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (pow.f32 (PI.f32) #s(literal 3/2 binary32)))
(*.f32 (sqrt.f32 (PI.f32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (fabs.f32 (*.f32 (cbrt.f32 (PI.f32)) (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (cbrt.f32 (PI.f32)) (PI.f32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32)))
(*.f32 (PI.f32) (PI.f32))
(cbrt.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)))
(sqrt.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)))
(pow.f32 (neg.f32 (neg.f32 (PI.f32))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 1/3 binary32))
(pow.f32 (neg.f32 (PI.f32)) #s(literal 2 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 4 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 2/3 binary32))
(pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 3 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(pow.f32 (PI.f32) #s(literal 2 binary32))
(fabs.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32)))
(fabs.f32 (*.f32 (PI.f32) (neg.f32 (PI.f32))))
(fabs.f32 (neg.f32 (*.f32 (PI.f32) (PI.f32))))
(fabs.f32 (*.f32 (PI.f32) (PI.f32)))
(+.f32 (cosh.f32 (log.f32 (*.f32 (PI.f32) (PI.f32)))) (sinh.f32 (log.f32 (*.f32 (PI.f32) (PI.f32)))))
(+.f32 (cosh.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))
(exp.f32 (*.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (neg.f32 (PI.f32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)))
(neg.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32)))
(neg.f32 (*.f32 (PI.f32) (neg.f32 (PI.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 (-.f32 #s(literal 4 binary32) (pow.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32))) (-.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 4 binary32))) (neg.f32 (-.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32))))
(/.f32 (neg.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 8 binary32))) (neg.f32 (-.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal 4 binary32)) (*.f32 maxCos #s(literal -4 binary32)))))
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 4 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 8 binary32)) (+.f32 #s(literal 4 binary32) (-.f32 (pow.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) (*.f32 maxCos #s(literal -4 binary32)))))
(/.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 8 binary32)) (-.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal 4 binary32)) (*.f32 maxCos #s(literal -4 binary32))))
(-.f32 (/.f32 (pow.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32))) (/.f32 #s(literal 4 binary32) (-.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32))))
(-.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) maxCos))
(-.f32 #s(literal 2 binary32) (*.f32 (neg.f32 maxCos) #s(literal -2 binary32)))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))
(+.f32 (/.f32 (pow.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 3 binary32)) (-.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal 4 binary32)) (*.f32 maxCos #s(literal -4 binary32)))) (/.f32 #s(literal 8 binary32) (-.f32 (fma.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32) #s(literal 4 binary32)) (*.f32 maxCos #s(literal -4 binary32)))))
(+.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32))
(+.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 2 binary32)))) (neg.f32 (fma.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (fma.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 2 binary32))) (fma.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (fma.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32)) #s(literal 1 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32))) (/.f32 (pow.f32 (*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 2 binary32)) (fma.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (fma.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 3 binary32)) (fma.f32 (*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (fma.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32)) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (neg.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))))
(-.f32 #s(literal 1 binary32) (*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(fma.f32 (neg.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) #s(literal 1 binary32))
(fma.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (neg.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 1 binary32))
(+.f32 (*.f32 (neg.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))))
(*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)
(*.f32 maxCos (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)))
(/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 (/.f32 ux maxCos) ux) #s(literal 2 binary32)) (pow.f32 maxCos #s(literal -2 binary32))) maxCos) (-.f32 (/.f32 ux maxCos) (-.f32 ux (/.f32 #s(literal 1 binary32) maxCos))))
(/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 (/.f32 ux maxCos) ux) #s(literal 3 binary32)) (pow.f32 maxCos #s(literal -3 binary32))) maxCos) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) maxCos) (-.f32 (/.f32 ux maxCos) ux) (pow.f32 maxCos #s(literal -2 binary32))) (pow.f32 (-.f32 (/.f32 ux maxCos) ux) #s(literal 2 binary32))))
(/.f32 (*.f32 maxCos (-.f32 (pow.f32 (-.f32 (/.f32 ux maxCos) ux) #s(literal 2 binary32)) (pow.f32 maxCos #s(literal -2 binary32)))) (-.f32 (/.f32 ux maxCos) (-.f32 ux (/.f32 #s(literal 1 binary32) maxCos))))
(/.f32 (*.f32 maxCos (-.f32 (pow.f32 (-.f32 (/.f32 ux maxCos) ux) #s(literal 3 binary32)) (pow.f32 maxCos #s(literal -3 binary32)))) (+.f32 (fma.f32 (/.f32 #s(literal 1 binary32) maxCos) (-.f32 (/.f32 ux maxCos) ux) (pow.f32 maxCos #s(literal -2 binary32))) (pow.f32 (-.f32 (/.f32 ux maxCos) ux) #s(literal 2 binary32))))
(*.f32 (*.f32 #s(literal 1 binary32) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))
(*.f32 (*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 1 binary32))
(*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))
(*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)))
(*.f32 #s(literal 1 binary32) (*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 2 binary32)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))) (+.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 3 binary32)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))) (+.f32 (+.f32 (pow.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 ux (*.f32 ux maxCos))))
(/.f32 (*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (pow.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 2 binary32)) #s(literal 1 binary32))) (+.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 1 binary32)))
(/.f32 (*.f32 #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) (-.f32 (pow.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 3 binary32)) #s(literal 1 binary32))) (+.f32 (+.f32 (pow.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 ux (*.f32 ux maxCos))))

eval89.0ms (0.9%)

Memory
-3.2MiB live, 181.9MiB allocated
Compiler

Compiled 34 124 to 3 424 computations (90% saved)

prune69.0ms (0.7%)

Memory
23.7MiB live, 175.7MiB allocated
Pruning

58 alts after pruning (56 fresh and 2 done)

PrunedKeptTotal
New66530695
Fresh162642
Picked415
Done011
Total68558743
Accuracy
99.6%
Counts
743 → 58
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.6%
(/.f32 (+.f32 (cos.f32 (-.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) (cos.f32 (+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))) #s(literal 2 binary32))
44.6%
(*.f32 (fma.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))) #s(literal 0 binary32) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))) #s(literal 1 binary32))) (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))))
98.6%
(*.f32 (-.f32 (*.f32 (cos.f32 (*.f32 uy (PI.f32))) (cos.f32 (*.f32 uy (PI.f32)))) (*.f32 (sin.f32 (*.f32 uy (PI.f32))) (sin.f32 (*.f32 uy (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
69.8%
(*.f32 (-.f32 (*.f32 (cos.f32 (*.f32 uy (PI.f32))) (cos.f32 (*.f32 uy (PI.f32)))) (*.f32 (sin.f32 (*.f32 uy (PI.f32))) (sin.f32 (*.f32 uy (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)))))
98.6%
(*.f32 (sin.f32 (+.f32 (neg.f32 (*.f32 (neg.f32 uy) (*.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
57.8%
(*.f32 (cos.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))))
41.2%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1 binary32)))))
42.4%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.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 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
55.4%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32)))))))
58.8%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)) ux))))))
20.6%
(*.f32 (cos.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 maxCos ux) ux) maxCos)))))
77.0%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (/ (sqrt (* (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 2) (pow (* maxCos ux) 2)))) (sqrt (- (- 1 ux) (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 #s(literal -1/2 binary32) ux) (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos)))))))
99.0%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux))))
98.8%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (+.f32 (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 #s(literal 1 binary32) maxCos))) (*.f32 ux ux)))))
77.0%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)))))
92.5%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (/ (- 1 maxCos) ux) 2) (pow (- 1 maxCos) 2)) (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))) (*.f32 ux ux)))))
47.2%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) #s(approx (* (- (* (/ (- 1 maxCos) ux) 2) (pow (- 1 maxCos) 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))))))
92.6%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) #s(approx (* (- (* (/ (- 1 maxCos) ux) 2) (pow (- 1 maxCos) 2)) (* ux ux)) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)))))
98.0%
(*.f32 (cos.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 (+ (* -2 maxCos) 2) (*.f32 (-.f32 (/.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 ux ux)))))
76.4%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)) ux))))
74.2%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
69.9%
(*.f32 (cos.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 (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux 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)))))
19.9%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1) #s(literal 2 binary32))))
18.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))
19.2%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (sqrt.f32 ux) (sqrt.f32 ux) (-.f32 (*.f32 (neg.f32 maxCos) ux) #s(literal 1 binary32))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
48.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
19.3%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
51.0%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux maxCos))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
50.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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))))))
48.0%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (sqrt.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))))
25.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
48.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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))))))
51.8%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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))))))
19.6%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 maxCos #s(literal 1 binary32)) ux))))))
19.8%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
19.7%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 ux maxCos))))))
25.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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))))))
63.4%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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))))
48.6%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
48.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
21.3%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))))))
50.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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))))))
48.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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))))))
6.6%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
6.6%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
19.7%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) ux)))))
19.7%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos ux) (*.f32 maxCos ux))))))
63.4%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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))))
76.6%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux 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))))
54.0%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (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))))))
50.8%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 uy uy))) (*.f32 uy 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))))))
6.6%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
5.3%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.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))))))
76.8%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (*.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (sqrt.f32 #s(literal 2 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
76.8%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))
48.6%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)))))
10.0%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (*.f32 (*.f32 maxCos ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
4.2%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (*.f32 (neg.f32 ux) (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))))
Compiler

Compiled 4 798 to 3 096 computations (35.5% saved)

simplify121.0ms (1.2%)

Memory
9.9MiB live, 100.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
cost-diff0
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
cost-diff0
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux 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))))
cost-diff1
(-.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))
cost-diff0
(pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32))
cost-diff0
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)))
cost-diff0
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32))))
cost-diff0
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)))))
cost-diff0
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32)))
cost-diff0
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
cost-diff1
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff1
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))
cost-diff0
(*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32))
cost-diff0
#s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))
cost-diff0
#s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32))))
cost-diff0
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
cost-diff0
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff0
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux))))
cost-diff1
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))
cost-diff1
(-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080835
0129798
1234753
2565735
31932735
44594732
08378729
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux))))
(cos.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 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux)))
#s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux))
(*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux)
(-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))
(-.f32 #s(literal 1 binary32) maxCos)
#s(literal 1 binary32)
maxCos
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)
(pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))
ux
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
#s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32))))
#s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))
(*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32))
(*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32))
(*.f32 (*.f32 uy uy) #s(literal -2 binary32))
(*.f32 uy 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))) #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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#s(literal -2 binary32)
(*.f32 uy uy)
uy
#s(literal 1 binary32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #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)) (fma.f32 (-.f32 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)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))
(+.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)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(-.f32 maxCos #s(literal 1 binary32))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32))))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)))
#s(literal 1 binary32)
(pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32))
(-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32)))
ux
(fma.f32 ux maxCos #s(literal 1 binary32))
maxCos
#s(literal 2 binary32)
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux 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))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 (*.f32 uy uy) #s(literal -2 binary32))
(*.f32 uy uy)
uy
#s(literal -2 binary32)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#s(literal 1 binary32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux 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)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux 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))
(*.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 (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))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
maxCos
#s(literal 2 binary32)
(*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(-.f32 maxCos #s(literal 1 binary32))
ux
Outputs
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (-.f32 #s(literal 1 binary32) maxCos)) ux))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))
(*.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 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux)))
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (-.f32 #s(literal 1 binary32) maxCos)) ux)))
#s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (-.f32 #s(literal 1 binary32) maxCos)) ux))
(*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux)
(*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (-.f32 #s(literal 1 binary32) maxCos)) ux)
(-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux))
(*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (-.f32 #s(literal 1 binary32) maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(-.f32 #s(literal 1 binary32) maxCos)
#s(literal 1 binary32)
maxCos
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)
(pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))
ux
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (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 (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))))
#s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32))))
#s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))
(*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32))
(*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32))
(*.f32 (*.f32 uy uy) #s(literal -2 binary32))
(*.f32 uy 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))) #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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 1 binary32))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#s(literal -2 binary32)
(*.f32 uy uy)
uy
#s(literal 1 binary32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))
(sqrt.f32 (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #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)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))
(fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos 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)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))
(*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 (fma.f32 maxCos ux #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)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(-.f32 maxCos #s(literal 1 binary32))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32)))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32))))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32)))
#s(literal 1 binary32)
(pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32))
(pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32))
(-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32)))
(-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))
ux
(fma.f32 ux maxCos #s(literal 1 binary32))
(fma.f32 maxCos ux #s(literal 1 binary32))
maxCos
#s(literal 2 binary32)
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux 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))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (-.f32 #s(literal 1 binary32) maxCos)) ux))) #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))
(*.f32 (*.f32 uy uy) #s(literal -2 binary32))
(*.f32 uy uy)
uy
#s(literal -2 binary32)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#s(literal 1 binary32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux 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)))
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (-.f32 #s(literal 1 binary32) maxCos)) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux 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))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (-.f32 #s(literal 1 binary32) 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 (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (-.f32 #s(literal 1 binary32) maxCos)) ux)
(-.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))
(*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (-.f32 #s(literal 1 binary32) maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
maxCos
#s(literal 2 binary32)
(*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))
(-.f32 maxCos #s(literal 1 binary32))
ux

localize186.0ms (1.9%)

Memory
-0.8MiB live, 239.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy1.0
(*.f32 (PI.f32) (PI.f32))
accuracy2.392675728495496
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
accuracy3.211025896906581
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
accuracy29.478363594007824
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
accuracy0.44921875
(pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32))
accuracy5.855278200823246
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)))))
accuracy13.08797032170482
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)))
accuracy27.421659021745032
(fma.f32 ux maxCos #s(literal 1 binary32))
accuracy3.211025896906581
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32)))
accuracy6.127137080226681
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))
accuracy9.034951761389971
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
accuracy13.08797032170482
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))
accuracy3.211025896906581
#s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32))))
accuracy9.800980144402502
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))
accuracy13.08797032170482
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))
accuracy30.230966435914727
#s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))
accuracy0.12239793710950655
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
accuracy0.1328125
(*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux)
accuracy0.14453125
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux))))
accuracy0.30859375
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
Samples
106.0ms250×0valid
4.0ms1valid
Compiler

Compiled 605 to 56 computations (90.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-mult: 44.0ms (52.4% of total)
ival-sub: 12.0ms (14.3% of total)
ival-cosu: 8.0ms (9.5% of total)
ival-pow2: 7.0ms (8.3% of total)
ival-add: 6.0ms (7.2% of total)
ival-sqrt: 5.0ms (6% of total)
ival-pi: 1.0ms (1.2% of total)
adjust: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series28.0ms (0.3%)

Memory
-4.6MiB live, 40.9MiB allocated
Counts
29 → 184
Calls
Call 1
Inputs
(-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux))))
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
#s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32))))
#s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))
(*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32)))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32))))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)))
(pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32))
(-.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))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux 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))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) 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 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))
(fma.f32 ux maxCos #s(literal 1 binary32))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(*.f32 (PI.f32) (PI.f32))
Outputs
(* 2 (- 1 maxCos))
(+ (* -1 (* ux (pow (- 1 maxCos) 2))) (* 2 (- 1 maxCos)))
(* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2)))
(+ (* -1/2 (* (sqrt (* (pow ux 3) (pow (- 1 maxCos) 3))) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))))
(+ (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/8 (* (sqrt (* ux (pow (- 1 maxCos) 5))) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))))))
(+ (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ (pow (- 1 maxCos) 5) (pow ux 3))) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (* -1/16 (* (sqrt (/ (pow (- 1 maxCos) 7) ux)) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 5)))))))))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
1
(+ 1 (* ux (- maxCos 1)))
(* (sqrt (* ux (- 1 maxCos))) (sqrt 2))
(+ (* -1/2 (* (sqrt (* (pow ux 3) (pow (- 1 maxCos) 3))) (/ 1 (sqrt 2)))) (* (sqrt (* ux (- 1 maxCos))) (sqrt 2)))
(+ (* (sqrt (* ux (- 1 maxCos))) (sqrt 2)) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ 1 (sqrt 2)))) (* -1/8 (* (sqrt (* ux (pow (- 1 maxCos) 5))) (/ 1 (pow (sqrt 2) 3)))))))
(+ (* (sqrt (* ux (- 1 maxCos))) (sqrt 2)) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ 1 (sqrt 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ (pow (- 1 maxCos) 5) (pow ux 3))) (/ 1 (pow (sqrt 2) 3)))) (* -1/16 (* (sqrt (/ (pow (- 1 maxCos) 7) ux)) (/ 1 (pow (sqrt 2) 5)))))))))
(* 2 (* ux (- 1 maxCos)))
(* ux (- (* -1 (* ux (pow (- 1 maxCos) 2))) (* -2 (- 1 maxCos))))
(+ 1 (* -2 (* ux (- 1 maxCos))))
(+ 1 (* ux (+ (* -2 (- 1 maxCos)) (* ux (pow (- 1 maxCos) 2)))))
(+ 2 (* -2 maxCos))
(+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2)))))
(* ux (+ (* -1 (* ux (pow (- 1 maxCos) 2))) (* 2 (- 1 maxCos))))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(+ 1 (* maxCos ux))
(* -1 (* ux (pow (- 1 maxCos) 2)))
(* ux (- (* 2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2)))
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))))
(* ux (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1)))))
(* ux (+ (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1))))))
(* ux (+ (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* 1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- 1 maxCos) 2))))) (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1)))))))
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 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))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (* (sqrt -1) (- 1 maxCos)))
(* ux (+ (* (sqrt -1) (- 1 maxCos)) (/ 1 (* ux (sqrt -1)))))
(* ux (- (+ (* (sqrt -1) (- 1 maxCos)) (/ 1 (* ux (sqrt -1)))) (/ 1/2 (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))))
(* ux (- (+ (* (sqrt -1) (- 1 maxCos)) (+ (/ 1 (* ux (sqrt -1))) (* 1/2 (/ 1 (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- 1 maxCos) 2))))))) (* 1/2 (/ 1 (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos)))))))
(* -1 (* (pow ux 2) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (- (* 2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (pow (- 1 maxCos) 2))
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (+ (/ 1 (pow ux 2)) (pow (- 1 maxCos) 2))))
(* -1 (* ux (pow (- maxCos 1) 2)))
(* ux (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (- maxCos 1) 2)))
(* (pow ux 2) (+ (* -1 (pow (- 1 maxCos) 2)) (* 2 (/ (- 1 maxCos) 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))))
(* maxCos ux)
(* ux (+ maxCos (/ 1 ux)))
(* -1 (* ux (- (* -2 (/ (- 1 maxCos) ux)) (* -1 (pow (- 1 maxCos) 2)))))
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 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)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))
(* -1 (* ux (+ (* 1/2 (/ (+ 2 (* -2 maxCos)) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (+ 2 (* -2 maxCos)) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (pow (+ 2 (* -2 maxCos)) 2) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (pow (+ 2 (* -2 maxCos)) 2) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (pow (+ 2 (* -2 maxCos)) 3) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (+ 2 (* -2 maxCos)) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (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)))
(* -1 (* ux (- (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (* -1 (pow (- maxCos 1) 2)))))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))
(sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))))
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))))))
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))))))))
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4))))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))
(* -2 (* (pow uy 2) (pow (PI) 2)))
(* 2 (* uy (PI)))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))
(cos (* 2 (* uy (PI))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (pow uy 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow uy 2))))
(- 2 ux)
(- (+ 2 (* -1 (* maxCos (+ 2 (* -2 ux))))) ux)
(- (+ 2 (* maxCos (- (* -1 (* maxCos ux)) (+ 2 (* -2 ux))))) ux)
2
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))
(+ (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))) (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))))
(+ (* maxCos (+ (* maxCos (+ (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* 1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (- ux 1))))) (sqrt (/ 1 (pow (- 1 (pow (- ux 1) 2)) 3))))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 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)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 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 (* (* (cos (* 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)))))))))) (* (cos (* 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 ux)
(- (+ 1 (* maxCos ux)) ux)
(sqrt (- 1 (pow (- ux 1) 2)))
(+ (sqrt (- 1 (pow (- ux 1) 2))) (* (* maxCos (* ux (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))
(+ (sqrt (- 1 (pow (- ux 1) 2))) (* maxCos (+ (* -1/2 (* (* maxCos (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* (* ux (- ux 1)) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))))
(+ (sqrt (- 1 (pow (- ux 1) 2))) (* maxCos (+ (* maxCos (+ (* -1/2 (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* 1/2 (* (* maxCos (* ux (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (- ux 1)))) (sqrt (/ 1 (pow (- 1 (pow (- ux 1) 2)) 3))))))) (* (* ux (- ux 1)) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))))
(- 1 (pow (- ux 1) 2))
(- (+ 1 (* 2 (* maxCos (* ux (- ux 1))))) (pow (- ux 1) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* -2 (* ux (- ux 1)))))) (pow (- ux 1) 2))
(pow (- ux 1) 2)
(+ (* -2 (* maxCos (* ux (- ux 1)))) (pow (- ux 1) 2))
(+ (* maxCos (+ (* -2 (* ux (- ux 1))) (* maxCos (pow ux 2)))) (pow (- ux 1) 2))
(* ux (- 2 ux))
(+ (* -1 (* maxCos (* ux (+ 2 (* -2 ux))))) (* ux (- 2 ux)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (+ 2 (* -2 ux)))))) (* ux (- 2 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))
(+ 1 (* -1 ux))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(* -1 (* (pow maxCos 2) ux))
(* (pow maxCos 2) (- (* -1 (/ (+ 2 (* -2 ux)) maxCos)) ux))
(* (pow maxCos 2) (- (/ 2 (pow maxCos 2)) (+ ux (+ (* -2 (/ ux maxCos)) (+ (* 2 (/ 1 maxCos)) (/ ux (pow maxCos 2)))))))
(* -2 maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))
(* maxCos (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 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)))))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (* ux (sqrt -1)))
(* maxCos (- (+ (* ux (sqrt -1)) (/ ux (* maxCos (sqrt -1)))) (/ 1 (* maxCos (sqrt -1)))))
(* maxCos (- (+ (* 1/2 (/ (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (sqrt -1)) (/ ux (* maxCos (sqrt -1))))) (/ 1 (* maxCos (sqrt -1)))))
(* maxCos (- (+ (* -1/2 (/ (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1)) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (sqrt -1)) (/ ux (* maxCos (sqrt -1)))))) (/ 1 (* maxCos (sqrt -1)))))
(* (pow maxCos 2) (- (* 2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- 2 ux)) (pow maxCos 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))))
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(* maxCos (+ ux (/ 1 maxCos)))
(* (pow maxCos 2) (- (* -1 (/ (- 2 (* 2 ux)) maxCos)) ux))
(* (pow maxCos 2) (- (* -1 (/ (- (+ 2 (* -1 (/ (- 2 ux) maxCos))) (* 2 ux)) maxCos)) ux))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* ux (sqrt -1))))) maxCos))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (* ux (sqrt -1))))
(* -1 (* maxCos (- (+ (* ux (sqrt -1)) (/ ux (* maxCos (sqrt -1)))) (/ 1 (* maxCos (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (- ux 1) (sqrt -1))) (* -1/2 (/ (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1)) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (* ux (sqrt -1))))) maxCos)) (* -1 (/ (- ux 1) (sqrt -1)))) maxCos)) (* ux (sqrt -1)))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- ux 1) 2)) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- ux 1) 2) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 2 (* 2 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (- 2 ux)) maxCos)) (* ux (- 2 (* 2 ux)))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
Calls

9 calls:

TimeVariablePointExpression
6.0ms
ux
@0
((- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (* (- 1 maxCos) 2) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (cos (* (* uy 2) (PI))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (* (* (* uy uy) -2) (PI)) (PI)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (pow (- ux (+ (* ux maxCos) 1)) 2) (- (+ (* -2 maxCos) 2) (* (pow (- maxCos 1) 2) ux)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (* uy 2) (PI)) (* (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* (- maxCos 1) ux) 1) (+ (* (* (* (PI) (PI)) -2) (* uy uy)) 1) (+ (* ux maxCos) 1) (+ (* -2 maxCos) 2) (* (PI) (PI)))
3.0ms
ux
@-inf
((- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (* (- 1 maxCos) 2) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (cos (* (* uy 2) (PI))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (* (* (* uy uy) -2) (PI)) (PI)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (pow (- ux (+ (* ux maxCos) 1)) 2) (- (+ (* -2 maxCos) 2) (* (pow (- maxCos 1) 2) ux)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (* uy 2) (PI)) (* (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* (- maxCos 1) ux) 1) (+ (* (* (* (PI) (PI)) -2) (* uy uy)) 1) (+ (* ux maxCos) 1) (+ (* -2 maxCos) 2) (* (PI) (PI)))
2.0ms
ux
@inf
((- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (* (- 1 maxCos) 2) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (cos (* (* uy 2) (PI))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (* (* (* uy uy) -2) (PI)) (PI)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (pow (- ux (+ (* ux maxCos) 1)) 2) (- (+ (* -2 maxCos) 2) (* (pow (- maxCos 1) 2) ux)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (* uy 2) (PI)) (* (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* (- maxCos 1) ux) 1) (+ (* (* (* (PI) (PI)) -2) (* uy uy)) 1) (+ (* ux maxCos) 1) (+ (* -2 maxCos) 2) (* (PI) (PI)))
2.0ms
maxCos
@inf
((- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (* (- 1 maxCos) 2) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (cos (* (* uy 2) (PI))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (* (* (* uy uy) -2) (PI)) (PI)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (pow (- ux (+ (* ux maxCos) 1)) 2) (- (+ (* -2 maxCos) 2) (* (pow (- maxCos 1) 2) ux)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (* uy 2) (PI)) (* (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* (- maxCos 1) ux) 1) (+ (* (* (* (PI) (PI)) -2) (* uy uy)) 1) (+ (* ux maxCos) 1) (+ (* -2 maxCos) 2) (* (PI) (PI)))
2.0ms
maxCos
@-inf
((- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (* (- 1 maxCos) 2) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (cos (* (* uy 2) (PI))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (* (* (* uy uy) -2) (PI)) (PI)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (pow (- ux (+ (* ux maxCos) 1)) 2) (- (+ (* -2 maxCos) 2) (* (pow (- maxCos 1) 2) ux)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (* uy 2) (PI)) (* (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* (- maxCos 1) ux) 1) (+ (* (* (* (PI) (PI)) -2) (* uy uy)) 1) (+ (* ux maxCos) 1) (+ (* -2 maxCos) 2) (* (PI) (PI)))

simplify181.0ms (1.8%)

Memory
0.3MiB live, 180.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08885340
131525241
080794995
Stop Event
iter limit
node limit
Counts
184 → 184
Calls
Call 1
Inputs
(* 2 (- 1 maxCos))
(+ (* -1 (* ux (pow (- 1 maxCos) 2))) (* 2 (- 1 maxCos)))
(* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2)))
(+ (* -1/2 (* (sqrt (* (pow ux 3) (pow (- 1 maxCos) 3))) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))))
(+ (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/8 (* (sqrt (* ux (pow (- 1 maxCos) 5))) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))))))
(+ (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ (pow (- 1 maxCos) 5) (pow ux 3))) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (* -1/16 (* (sqrt (/ (pow (- 1 maxCos) 7) ux)) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 5)))))))))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
1
(+ 1 (* ux (- maxCos 1)))
(* (sqrt (* ux (- 1 maxCos))) (sqrt 2))
(+ (* -1/2 (* (sqrt (* (pow ux 3) (pow (- 1 maxCos) 3))) (/ 1 (sqrt 2)))) (* (sqrt (* ux (- 1 maxCos))) (sqrt 2)))
(+ (* (sqrt (* ux (- 1 maxCos))) (sqrt 2)) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ 1 (sqrt 2)))) (* -1/8 (* (sqrt (* ux (pow (- 1 maxCos) 5))) (/ 1 (pow (sqrt 2) 3)))))))
(+ (* (sqrt (* ux (- 1 maxCos))) (sqrt 2)) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ 1 (sqrt 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ (pow (- 1 maxCos) 5) (pow ux 3))) (/ 1 (pow (sqrt 2) 3)))) (* -1/16 (* (sqrt (/ (pow (- 1 maxCos) 7) ux)) (/ 1 (pow (sqrt 2) 5)))))))))
(* 2 (* ux (- 1 maxCos)))
(* ux (- (* -1 (* ux (pow (- 1 maxCos) 2))) (* -2 (- 1 maxCos))))
(+ 1 (* -2 (* ux (- 1 maxCos))))
(+ 1 (* ux (+ (* -2 (- 1 maxCos)) (* ux (pow (- 1 maxCos) 2)))))
(+ 2 (* -2 maxCos))
(+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2)))))
(* ux (+ (* -1 (* ux (pow (- 1 maxCos) 2))) (* 2 (- 1 maxCos))))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(+ 1 (* maxCos ux))
(* -1 (* ux (pow (- 1 maxCos) 2)))
(* ux (- (* 2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2)))
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))))
(* ux (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1)))))
(* ux (+ (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1))))))
(* ux (+ (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* 1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- 1 maxCos) 2))))) (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1)))))))
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 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))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (* (sqrt -1) (- 1 maxCos)))
(* ux (+ (* (sqrt -1) (- 1 maxCos)) (/ 1 (* ux (sqrt -1)))))
(* ux (- (+ (* (sqrt -1) (- 1 maxCos)) (/ 1 (* ux (sqrt -1)))) (/ 1/2 (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))))
(* ux (- (+ (* (sqrt -1) (- 1 maxCos)) (+ (/ 1 (* ux (sqrt -1))) (* 1/2 (/ 1 (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- 1 maxCos) 2))))))) (* 1/2 (/ 1 (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos)))))))
(* -1 (* (pow ux 2) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (- (* 2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (pow (- 1 maxCos) 2))
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (+ (/ 1 (pow ux 2)) (pow (- 1 maxCos) 2))))
(* -1 (* ux (pow (- maxCos 1) 2)))
(* ux (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (- maxCos 1) 2)))
(* (pow ux 2) (+ (* -1 (pow (- 1 maxCos) 2)) (* 2 (/ (- 1 maxCos) 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))))
(* maxCos ux)
(* ux (+ maxCos (/ 1 ux)))
(* -1 (* ux (- (* -2 (/ (- 1 maxCos) ux)) (* -1 (pow (- 1 maxCos) 2)))))
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 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)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))
(* -1 (* ux (+ (* 1/2 (/ (+ 2 (* -2 maxCos)) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (+ 2 (* -2 maxCos)) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (pow (+ 2 (* -2 maxCos)) 2) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (pow (+ 2 (* -2 maxCos)) 2) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (pow (+ 2 (* -2 maxCos)) 3) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (+ 2 (* -2 maxCos)) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (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)))
(* -1 (* ux (- (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (* -1 (pow (- maxCos 1) 2)))))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(* -1 (* ux (- (* -1 maxCos) (/ 1 ux))))
(sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))))
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))))))
(+ (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))))))))
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4))))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))
(* -2 (* (pow uy 2) (pow (PI) 2)))
(* 2 (* uy (PI)))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))
(cos (* 2 (* uy (PI))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (pow uy 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow uy 2))))
(- 2 ux)
(- (+ 2 (* -1 (* maxCos (+ 2 (* -2 ux))))) ux)
(- (+ 2 (* maxCos (- (* -1 (* maxCos ux)) (+ 2 (* -2 ux))))) ux)
2
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))
(+ (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))) (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))))
(+ (* maxCos (+ (* maxCos (+ (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* 1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (- ux 1))))) (sqrt (/ 1 (pow (- 1 (pow (- ux 1) 2)) 3))))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 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)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 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 (* (* (cos (* 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)))))))))) (* (cos (* 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 ux)
(- (+ 1 (* maxCos ux)) ux)
(sqrt (- 1 (pow (- ux 1) 2)))
(+ (sqrt (- 1 (pow (- ux 1) 2))) (* (* maxCos (* ux (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))
(+ (sqrt (- 1 (pow (- ux 1) 2))) (* maxCos (+ (* -1/2 (* (* maxCos (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* (* ux (- ux 1)) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))))
(+ (sqrt (- 1 (pow (- ux 1) 2))) (* maxCos (+ (* maxCos (+ (* -1/2 (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* 1/2 (* (* maxCos (* ux (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (- ux 1)))) (sqrt (/ 1 (pow (- 1 (pow (- ux 1) 2)) 3))))))) (* (* ux (- ux 1)) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))))
(- 1 (pow (- ux 1) 2))
(- (+ 1 (* 2 (* maxCos (* ux (- ux 1))))) (pow (- ux 1) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* -2 (* ux (- ux 1)))))) (pow (- ux 1) 2))
(pow (- ux 1) 2)
(+ (* -2 (* maxCos (* ux (- ux 1)))) (pow (- ux 1) 2))
(+ (* maxCos (+ (* -2 (* ux (- ux 1))) (* maxCos (pow ux 2)))) (pow (- ux 1) 2))
(* ux (- 2 ux))
(+ (* -1 (* maxCos (* ux (+ 2 (* -2 ux))))) (* ux (- 2 ux)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (+ 2 (* -2 ux)))))) (* ux (- 2 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))
(+ 1 (* -1 ux))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(* -1 (* (pow maxCos 2) ux))
(* (pow maxCos 2) (- (* -1 (/ (+ 2 (* -2 ux)) maxCos)) ux))
(* (pow maxCos 2) (- (/ 2 (pow maxCos 2)) (+ ux (+ (* -2 (/ ux maxCos)) (+ (* 2 (/ 1 maxCos)) (/ ux (pow maxCos 2)))))))
(* -2 maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))
(* maxCos (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 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)))))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (* ux (sqrt -1)))
(* maxCos (- (+ (* ux (sqrt -1)) (/ ux (* maxCos (sqrt -1)))) (/ 1 (* maxCos (sqrt -1)))))
(* maxCos (- (+ (* 1/2 (/ (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (sqrt -1)) (/ ux (* maxCos (sqrt -1))))) (/ 1 (* maxCos (sqrt -1)))))
(* maxCos (- (+ (* -1/2 (/ (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1)) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (sqrt -1)) (/ ux (* maxCos (sqrt -1)))))) (/ 1 (* maxCos (sqrt -1)))))
(* (pow maxCos 2) (- (* 2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- 2 ux)) (pow maxCos 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))))
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(* maxCos (+ ux (/ 1 maxCos)))
(* (pow maxCos 2) (- (* -1 (/ (- 2 (* 2 ux)) maxCos)) ux))
(* (pow maxCos 2) (- (* -1 (/ (- (+ 2 (* -1 (/ (- 2 ux) maxCos))) (* 2 ux)) maxCos)) ux))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* ux (sqrt -1))))) maxCos))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (* ux (sqrt -1))))
(* -1 (* maxCos (- (+ (* ux (sqrt -1)) (/ ux (* maxCos (sqrt -1)))) (/ 1 (* maxCos (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (- ux 1) (sqrt -1))) (* -1/2 (/ (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1)) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (* ux (sqrt -1))))) maxCos)) (* -1 (/ (- ux 1) (sqrt -1)))) maxCos)) (* ux (sqrt -1)))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- ux 1) 2)) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- ux 1) 2) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 2 (* 2 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (- 2 ux)) maxCos)) (* ux (- 2 (* 2 ux)))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
Outputs
(* 2 (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))
(+ (* -1 (* ux (pow (- 1 maxCos) 2))) (* 2 (- 1 maxCos)))
(-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux))
(* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2)))
(*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))
(+ (* -1/2 (* (sqrt (* (pow ux 3) (pow (- 1 maxCos) 3))) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))))
(fma.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 3 binary32)))) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (sqrt.f32 #s(literal 2 binary32)))))
(+ (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/8 (* (sqrt (* ux (pow (- 1 maxCos) 5))) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) ux))) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (sqrt.f32 #s(literal 2 binary32))) (*.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) ux))) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))))) (*.f32 ux ux) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))
(+ (* (sqrt (* ux (- 1 maxCos))) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ (pow (- 1 maxCos) 5) (pow ux 3))) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (* -1/16 (* (sqrt (/ (pow (- 1 maxCos) 7) ux)) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 5)))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 7 binary32)) ux))) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))) (*.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) #s(literal -1/8 binary32))) (*.f32 ux ux) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) ux))) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (sqrt.f32 #s(literal 2 binary32))))) (*.f32 ux ux) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (cos.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)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (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) (*.f32 (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))) #s(literal -1/2 binary32))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32))))) #s(literal -1/16 binary32) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))) #s(literal -1/8 binary32))) (*.f32 ux ux))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (cos.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 (pow (- maxCos 1) 2)))) (* 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 (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* (sqrt (* ux (- 1 maxCos))) (sqrt 2))
(*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))
(+ (* -1/2 (* (sqrt (* (pow ux 3) (pow (- 1 maxCos) 3))) (/ 1 (sqrt 2)))) (* (sqrt (* ux (- 1 maxCos))) (sqrt 2)))
(fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 3 binary32)))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))
(+ (* (sqrt (* ux (- 1 maxCos))) (sqrt 2)) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ 1 (sqrt 2)))) (* -1/8 (* (sqrt (* ux (pow (- 1 maxCos) 5))) (/ 1 (pow (sqrt 2) 3)))))))
(fma.f32 (fma.f32 (*.f32 (/.f32 (sqrt.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) ux)) (sqrt.f32 #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal -1/8 binary32) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) ux))) #s(literal -1/2 binary32))) (*.f32 ux ux) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))
(+ (* (sqrt (* ux (- 1 maxCos))) (sqrt 2)) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ 1 (sqrt 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ (pow (- 1 maxCos) 5) (pow ux 3))) (/ 1 (pow (sqrt 2) 3)))) (* -1/16 (* (sqrt (/ (pow (- 1 maxCos) 7) ux)) (/ 1 (pow (sqrt 2) 5)))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 (/.f32 (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) (pow.f32 ux #s(literal 3 binary32)))) (sqrt.f32 #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal -1/8 binary32) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))) (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 7 binary32)) ux))) #s(literal -1/16 binary32))) (*.f32 ux ux) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) ux))) #s(literal -1/2 binary32))) (*.f32 ux ux) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))
(* 2 (* ux (- 1 maxCos)))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32))
(* ux (- (* -1 (* ux (pow (- 1 maxCos) 2))) (* -2 (- 1 maxCos))))
(*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux)
(+ 1 (* -2 (* ux (- 1 maxCos))))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal -2 binary32) #s(literal 1 binary32))
(+ 1 (* ux (+ (* -2 (- 1 maxCos)) (* ux (pow (- 1 maxCos) 2)))))
(fma.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal -2 binary32))) ux #s(literal 1 binary32))
(+ 2 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2)))))
(-.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 (* ux (pow (- 1 maxCos) 2))) (* 2 (- 1 maxCos))))
(*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux)
(+ 1 (* ux (- (* 2 maxCos) 2)))
(fma.f32 (-.f32 (*.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 (-.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (*.f32 #s(literal 2 binary32) maxCos)) #s(literal 2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* maxCos ux))
(fma.f32 ux maxCos #s(literal 1 binary32))
(* -1 (* ux (pow (- 1 maxCos) 2)))
(*.f32 (neg.f32 ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))
(* ux (- (* 2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2)))
(*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) ux)
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))))
(*.f32 (*.f32 ux (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))
(* ux (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1)))))
(*.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) ux)
(* ux (+ (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (*.f32 ux ux)) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))) ux)
(* ux (+ (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* 1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- 1 maxCos) 2))))) (+ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1)))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (*.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) ux)
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (*.f32 ux (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))))
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(*.f32 (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)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (-.f32 maxCos #s(literal 1 binary32)))) ux)
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (cos.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)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (*.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 ux #s(literal 3 binary32))) (/.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 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)))) (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)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (-.f32 maxCos #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))
(* 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 (* (sqrt -1) (- 1 maxCos)))
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (-.f32 #s(literal 1 binary32) maxCos))
(* ux (+ (* (sqrt -1) (- 1 maxCos)) (/ 1 (* ux (sqrt -1)))))
(*.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) ux)
(* ux (- (+ (* (sqrt -1) (- 1 maxCos)) (/ 1 (* ux (sqrt -1)))) (/ 1/2 (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))))
(*.f32 (-.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 ux ux)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))) ux)
(* ux (- (+ (* (sqrt -1) (- 1 maxCos)) (+ (/ 1 (* ux (sqrt -1))) (* 1/2 (/ 1 (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- 1 maxCos) 2))))))) (* 1/2 (/ 1 (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos)))))))
(*.f32 (-.f32 (+.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (pow.f32 ux #s(literal 3 binary32))))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 ux ux)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))) ux)
(* -1 (* (pow ux 2) (pow (- 1 maxCos) 2)))
(*.f32 (*.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))
(* (pow ux 2) (- (* 2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2)))
(*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (pow (- 1 maxCos) 2))
(*.f32 (*.f32 ux ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2)))
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal -2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (+ (/ 1 (pow ux 2)) (pow (- 1 maxCos) 2))))
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal -2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) (*.f32 ux ux))
(* -1 (* ux (pow (- maxCos 1) 2)))
(*.f32 (neg.f32 ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* ux (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 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))) ux)
(* (pow ux 2) (+ (* -1 (pow (- 1 maxCos) 2)) (* 2 (/ (- 1 maxCos) ux))))
(*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (pow (- maxCos 1) 2))
(*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #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))))
(*.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(* maxCos ux)
(*.f32 ux maxCos)
(* ux (+ maxCos (/ 1 ux)))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) ux)
(* -1 (* ux (- (* -2 (/ (- 1 maxCos) ux)) (* -1 (pow (- 1 maxCos) 2)))))
(*.f32 (neg.f32 ux) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal -2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(*.f32 (*.f32 ux (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))))
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(*.f32 (neg.f32 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)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
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2
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(fma.f32 (fma.f32 (*.f32 maxCos (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 ux ux)) (cos.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 ux #s(literal 1 binary32)) #s(literal 2 binary32))))))) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) ux))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))))
(+ (* maxCos (+ (* maxCos (+ (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* 1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (- ux 1))))) (sqrt (/ 1 (pow (- 1 (pow (- ux 1) 2)) 3))))))) (* (* ux (* (cos (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 (*.f32 ux maxCos) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 ux ux)) (-.f32 ux #s(literal 1 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))))) #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 ux ux)) (cos.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 ux #s(literal 1 binary32)) #s(literal 2 binary32)))))) #s(literal -1/2 binary32))) maxCos (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) ux))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))))
(* (cos (* 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)))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (neg.f32 (*.f32 (*.f32 ux maxCos) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (-.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)))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 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)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (neg.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) ux)) 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)) (cos.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)))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 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 (* (* (cos (* 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)))))))))) (* (cos (* 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 ux 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)) (-.f32 #s(literal 1 binary32) ux)) (cos.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)) (cos.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 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) ux)) ux))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.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 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #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 (fma.f32 (neg.f32 maxCos) (*.f32 ux ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32))) 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 ux maxCos #s(literal 1 binary32)) ux)
(sqrt (- 1 (pow (- ux 1) 2)))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))
(+ (sqrt (- 1 (pow (- ux 1) 2))) (* (* maxCos (* ux (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))
(fma.f32 (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))))
(+ (sqrt (- 1 (pow (- ux 1) 2))) (* maxCos (+ (* -1/2 (* (* maxCos (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* (* ux (- ux 1)) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 ux ux)) maxCos) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))))) #s(literal -1/2 binary32) (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))))) maxCos (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))))
(+ (sqrt (- 1 (pow (- ux 1) 2))) (* maxCos (+ (* maxCos (+ (* -1/2 (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* 1/2 (* (* maxCos (* ux (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (- ux 1)))) (sqrt (/ 1 (pow (- 1 (pow (- ux 1) 2)) 3))))))) (* (* ux (- ux 1)) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 ux ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 ux maxCos) (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 ux ux)) (-.f32 ux #s(literal 1 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 3 binary32)))))) maxCos (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))))) maxCos (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))))
(- 1 (pow (- ux 1) 2))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(- (+ 1 (* 2 (* maxCos (* ux (- ux 1))))) (pow (- ux 1) 2))
(-.f32 (fma.f32 (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal 2 binary32) #s(literal 1 binary32)) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* -2 (* ux (- ux 1)))))) (pow (- ux 1) 2))
(-.f32 (fma.f32 (fma.f32 (neg.f32 maxCos) (*.f32 ux ux) (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(pow (- ux 1) 2)
(pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))
(+ (* -2 (* maxCos (* ux (- ux 1)))) (pow (- ux 1) 2))
(fma.f32 (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal -2 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(+ (* maxCos (+ (* -2 (* ux (- ux 1))) (* maxCos (pow ux 2)))) (pow (- ux 1) 2))
(fma.f32 (fma.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) #s(literal -2 binary32) (*.f32 (*.f32 ux ux) maxCos)) maxCos (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(* ux (- 2 ux))
(*.f32 (-.f32 #s(literal 2 binary32) ux) ux)
(+ (* -1 (* maxCos (* ux (+ 2 (* -2 ux))))) (* ux (- 2 ux)))
(-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (+ 2 (* -2 ux)))))) (* ux (- 2 ux)))
(fma.f32 (neg.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (*.f32 (*.f32 ux ux) maxCos))) maxCos (*.f32 (-.f32 #s(literal 2 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 (*.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)))
(+ 1 (* -1 ux))
(fma.f32 #s(literal -1 binary32) ux #s(literal 1 binary32))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(* -1 (* (pow maxCos 2) ux))
(*.f32 (*.f32 maxCos maxCos) (neg.f32 ux))
(* (pow maxCos 2) (- (* -1 (/ (+ 2 (* -2 ux)) maxCos)) ux))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) (neg.f32 maxCos)) ux) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 2 (pow maxCos 2)) (+ ux (+ (* -2 (/ ux maxCos)) (+ (* 2 (/ 1 maxCos)) (/ ux (pow maxCos 2)))))))
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) ux) (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) (/.f32 ux (*.f32 maxCos maxCos)))) (*.f32 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 (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 ux maxCos) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))))
(* maxCos (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))
(*.f32 (fma.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) ux)) maxCos)
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (fma.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) ux))) maxCos)
(* maxCos (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 (*.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 ux #s(literal 1 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux ux))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (fma.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) ux)))) maxCos)
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (fma.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) ux)) maxCos)
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) maxCos) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (cos.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)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) ux))) maxCos)
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) maxCos) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (/.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)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux ux))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (cos.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)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) ux)))) maxCos)
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (neg.f32 ux) ux) (*.f32 maxCos maxCos))
(* (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))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(* maxCos (* ux (sqrt -1)))
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)
(* maxCos (- (+ (* ux (sqrt -1)) (/ ux (* maxCos (sqrt -1)))) (/ 1 (* maxCos (sqrt -1)))))
(*.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (/.f32 (-.f32 ux #s(literal 1 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (- (+ (* 1/2 (/ (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (sqrt -1)) (/ ux (* maxCos (sqrt -1))))) (/ 1 (* maxCos (sqrt -1)))))
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (/.f32 (-.f32 ux #s(literal 1 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)))) maxCos)
(* maxCos (- (+ (* -1/2 (/ (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1)) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (sqrt -1)) (/ ux (* maxCos (sqrt -1)))))) (/ 1 (* maxCos (sqrt -1)))))
(*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) (*.f32 ux ux))) (/.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 ux #s(literal 1 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (/.f32 (-.f32 ux #s(literal 1 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))) maxCos)
(* (pow maxCos 2) (- (* 2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal 2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2)))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 (/.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal -2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #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 (- ux 1)) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal -2 binary32) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal -2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 maxCos maxCos)))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (fma.f32 ux ux (*.f32 ux (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos)))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- 2 ux)) (pow maxCos 2)))))
(*.f32 (fma.f32 (neg.f32 ux) (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) (fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos) (*.f32 (neg.f32 ux) ux))) (*.f32 maxCos maxCos))
(* (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))
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(*.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal 1 binary32)) maxCos) ux) maxCos)
(* maxCos (+ ux (/ 1 maxCos)))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) maxCos) ux) maxCos)
(* (pow maxCos 2) (- (* -1 (/ (- 2 (* 2 ux)) maxCos)) ux))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) (neg.f32 maxCos)) ux) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (+ 2 (* -1 (/ (- 2 ux) maxCos))) (* 2 ux)) maxCos)) ux))
(*.f32 (-.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) #s(literal -1 binary32) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) ux)) (neg.f32 maxCos)) ux) (*.f32 maxCos 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 (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 maxCos) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))))
(* -1 (* maxCos (+ (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) ux)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 ux (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) maxCos) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (*.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (PI.f32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* ux (sqrt -1))))) maxCos))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 ux (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (neg.f32 (fma.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) maxCos) (/.f32 (*.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 ux #s(literal 1 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux ux))) (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) #s(literal 1/2 binary32))) maxCos))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) ux)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 ux (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (/.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 ux maxCos)) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 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 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 ux (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.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 (*.f32 ux ux) maxCos)) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (cos.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))))) (neg.f32 maxCos))) (neg.f32 maxCos))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (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 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (neg.f32 maxCos) (neg.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)))
(* -1 (* maxCos (* ux (sqrt -1))))
(*.f32 (neg.f32 maxCos) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))
(* -1 (* maxCos (- (+ (* ux (sqrt -1)) (/ ux (* maxCos (sqrt -1)))) (/ 1 (* maxCos (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (/.f32 (-.f32 ux #s(literal 1 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (- ux 1) (sqrt -1))) (* -1/2 (/ (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (sqrt -1)))))
(*.f32 (neg.f32 maxCos) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 ux maxCos)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (neg.f32 (-.f32 ux #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1)) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (* ux (sqrt -1))))) maxCos)) (* -1 (/ (- ux 1) (sqrt -1)))) maxCos)) (* ux (sqrt -1)))))
(*.f32 (neg.f32 maxCos) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (/.f32 (neg.f32 (+.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 ux ux) maxCos)) (/.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 ux #s(literal 1 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (/.f32 #s(literal 1/2 binary32) ux) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))))) maxCos))) (neg.f32 maxCos))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- ux 1) 2)) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) maxCos) #s(literal -1 binary32) (*.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) #s(literal -2 binary32))) (neg.f32 maxCos)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- ux 1) 2) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 ux ux (/.f32 (fma.f32 (*.f32 #s(literal 2 binary32) ux) (-.f32 ux #s(literal 1 binary32)) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (neg.f32 maxCos))) (neg.f32 maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 2 (* 2 ux))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (fma.f32 ux ux (*.f32 ux (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos)))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (- 2 ux)) maxCos)) (* ux (- 2 (* 2 ux)))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (fma.f32 ux ux (/.f32 (fma.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux)) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 ux ux (/.f32 (fma.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)) (neg.f32 maxCos))) (neg.f32 maxCos))) (*.f32 maxCos maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(*.f32 (neg.f32 maxCos) (neg.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal 1 binary32)) maxCos) ux)))
(* -1 (* maxCos (- (* -1 ux) (/ 1 maxCos))))
(*.f32 (neg.f32 maxCos) (-.f32 (neg.f32 ux) (/.f32 #s(literal 1 binary32) maxCos)))

rewrite181.0ms (1.8%)

Memory
26.1MiB live, 212.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080499
0129452
1490443
23513426
08451417
Stop Event
iter limit
node limit
iter limit
Counts
29 → 509
Calls
Call 1
Inputs
(-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux))))
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
#s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32))))
#s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))
(*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32)))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32))))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)))
(pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32))
(-.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))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux 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))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) 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 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))
(fma.f32 ux maxCos #s(literal 1 binary32))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(*.f32 (PI.f32) (PI.f32))
Outputs
(/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) #s(literal 8 binary32) (pow.f32 (neg.f32 (*.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) #s(literal 3 binary32))) (fma.f32 #s(literal 4 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (neg.f32 (*.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))))
(/.f32 (neg.f32 (-.f32 (*.f32 #s(literal 4 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (pow.f32 (*.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) #s(literal 2 binary32)))) (neg.f32 (fma.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) #s(literal 3 binary32)) (pow.f32 (*.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(literal 4 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (*.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (fma.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos)))))))
(/.f32 (-.f32 (*.f32 #s(literal 4 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (pow.f32 (*.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) #s(literal 2 binary32))) (fma.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos))))
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) #s(literal 3 binary32)) (pow.f32 (*.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) #s(literal 3 binary32))) (fma.f32 #s(literal 4 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (*.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (fma.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos))))))
(-.f32 (/.f32 (*.f32 #s(literal 4 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (fma.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos)))) (/.f32 (pow.f32 (*.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) #s(literal 2 binary32)) (fma.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos)))))
(-.f32 (/.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (*.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (fma.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos)))))) (/.f32 (pow.f32 (*.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (*.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (fma.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos)))))))
(-.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (neg.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) ux))
(-.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))
(fma.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) ux (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos)))
(fma.f32 ux (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos)))
(fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (neg.f32 ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))
(fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos) (neg.f32 (*.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))))
(fma.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32) (*.f32 (neg.f32 ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))
(fma.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32) (neg.f32 (*.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))))
(+.f32 (neg.f32 (*.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos)))
(+.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (neg.f32 ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))
(+.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (neg.f32 (*.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))))
(*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) #s(literal 2 binary32)) (+.f32 maxCos #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 3 binary32))) #s(literal 2 binary32)) (+.f32 (fma.f32 maxCos maxCos maxCos) #s(literal 1 binary32)))
(/.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (+.f32 maxCos #s(literal 1 binary32)))
(/.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 3 binary32)))) (+.f32 (fma.f32 maxCos maxCos maxCos) #s(literal 1 binary32)))
(fma.f32 (pow.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) maxCos)) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) maxCos)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))
(fma.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 #s(literal 1 binary32) maxCos))
(+.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos))
(*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) ux))))
(*.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) ux))) (cos.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))))
(-.f32 (*.f32 (cos.f32 (*.f32 uy (PI.f32))) (cos.f32 (*.f32 uy (PI.f32)))) (*.f32 (sin.f32 (*.f32 uy (PI.f32))) (sin.f32 (*.f32 uy (PI.f32)))))
(fma.f32 (sin.f32 (*.f32 (neg.f32 uy) (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 0 binary32) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))) #s(literal 1 binary32)))
(fma.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))) #s(literal 0 binary32) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32))))))
(sin.f32 (+.f32 (neg.f32 (*.f32 (neg.f32 uy) (*.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (PI.f32) #s(literal 2 binary32))))
(sin.f32 (fma.f32 (neg.f32 uy) (*.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(sin.f32 (fma.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(+.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 uy) (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 0 binary32)) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))) #s(literal 1 binary32)))
(+.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32))))) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32))))))
(+.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))) #s(literal 0 binary32)) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))) #s(literal 1 binary32)))
(cos.f32 (neg.f32 (neg.f32 (*.f32 (neg.f32 uy) (*.f32 (PI.f32) #s(literal 2 binary32))))))
(cos.f32 (neg.f32 (*.f32 (neg.f32 uy) (*.f32 (PI.f32) #s(literal 2 binary32)))))
(cos.f32 (*.f32 (neg.f32 uy) (*.f32 (PI.f32) #s(literal 2 binary32))))
(cos.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32))))
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(pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 3 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(pow.f32 (PI.f32) #s(literal 2 binary32))
(fabs.f32 (*.f32 (PI.f32) (PI.f32)))
(+.f32 (cosh.f32 (log.f32 (*.f32 (PI.f32) (PI.f32)))) (sinh.f32 (log.f32 (*.f32 (PI.f32) (PI.f32)))))
(+.f32 (cosh.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))) (sinh.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))
(exp.f32 (*.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (neg.f32 (PI.f32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(exp.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)))
(neg.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32)))
(neg.f32 (*.f32 (PI.f32) (neg.f32 (PI.f32))))

eval117.0ms (1.2%)

Memory
-29.3MiB live, 115.3MiB allocated
Compiler

Compiled 37 608 to 3 696 computations (90.2% saved)

prune125.0ms (1.3%)

Memory
25.5MiB live, 219.4MiB allocated
Pruning

63 alts after pruning (61 fresh and 2 done)

PrunedKeptTotal
New65127678
Fresh173451
Picked415
Done112
Total67363736
Accuracy
99.6%
Counts
736 → 63
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.4%
(/.f32 (+.f32 (cos.f32 (-.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))) (cos.f32 (+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))) #s(literal 2 binary32))
75.0%
(*.f32 (fma.f32 (sin.f32 (*.f32 (neg.f32 uy) (*.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 0 binary32) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux))))
44.5%
(*.f32 (fma.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))) #s(literal 0 binary32) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))) #s(literal 1 binary32))) (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))))
98.6%
(*.f32 (-.f32 (*.f32 (cos.f32 (*.f32 uy (PI.f32))) (cos.f32 (*.f32 uy (PI.f32)))) (*.f32 (sin.f32 (*.f32 uy (PI.f32))) (sin.f32 (*.f32 uy (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
98.8%
(*.f32 (-.f32 (*.f32 (cos.f32 (*.f32 uy (PI.f32))) (cos.f32 (*.f32 uy (PI.f32)))) (*.f32 (sin.f32 (*.f32 uy (PI.f32))) (sin.f32 (*.f32 uy (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux))))
98.7%
(*.f32 (sin.f32 (+.f32 (neg.f32 (*.f32 (neg.f32 uy) (*.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux))))
57.8%
(*.f32 (cos.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))))
41.7%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1 binary32)))))
42.4%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.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 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
55.4%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32)))))))
58.8%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)) ux))))))
98.8%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (+.f32 (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 #s(literal 1 binary32) maxCos))) (*.f32 ux ux)))))
77.0%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)))))
92.5%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (/ (- 1 maxCos) ux) 2) (pow (- 1 maxCos) 2)) (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))) (*.f32 ux ux)))))
91.8%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos)) ux)) ux))))
92.7%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (-.f32 #s(literal 2 binary32) ux)) ux))))
46.0%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) ux) (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) (/.f32 ux (*.f32 maxCos maxCos)))) (*.f32 maxCos maxCos))) ux))))
47.2%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) #s(approx (* (- (* (/ (- 1 maxCos) ux) 2) (pow (- 1 maxCos) 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))))))
92.6%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) #s(approx (* (- (* (/ (- 1 maxCos) ux) 2) (pow (- 1 maxCos) 2)) (* ux ux)) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)))))
91.8%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) #s(approx (* (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos))))))
98.0%
(*.f32 (cos.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 (+ (* -2 maxCos) 2) (*.f32 (-.f32 (/.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 ux ux)))))
74.2%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
19.9%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1) #s(literal 2 binary32))))
19.3%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
50.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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))))))
48.0%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (sqrt.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))))
25.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
51.0%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))))
51.8%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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))))))
19.6%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 maxCos #s(literal 1 binary32)) ux))))))
20.2%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
19.7%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 ux maxCos))))))
11.3%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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(approx (+ (* (- maxCos 1) ux) 1) (*.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal 1 binary32)) maxCos) ux) maxCos)))))))
51.8%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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(approx (+ (* (- maxCos 1) ux) 1) (*.f32 (neg.f32 ux) (-.f32 (neg.f32 (-.f32 maxCos #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) ux)))))))))
25.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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))))))
25.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
26.1%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #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 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
11.2%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
63.4%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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))))
48.6%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
48.9%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
21.8%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))))))
6.6%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
19.7%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) ux)))))
81.5%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (+.f32 #s(literal 2 binary32) (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
4.2%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (/.f32 (-.f32 (*.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) #s(literal 2 binary32)) #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) #s(literal -2 binary32)) #s(literal 1 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux 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))))
54.0%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (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))))))
50.8%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 uy uy))) (*.f32 uy 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))))))
4.5%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) (*.f32 maxCos maxCos))))))
5.3%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.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))))))
76.8%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (*.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (sqrt.f32 #s(literal 2 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
76.8%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))
26.8%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))
48.9%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))))
48.6%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))
6.6%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (pow (- ux (+ (* ux maxCos) 1)) 2) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal -2 binary32) #s(literal 1 binary32))))))
19.7%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (pow (- ux (+ (* ux maxCos) 1)) 2) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
81.4%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
81.5%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux))))
65.5%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)))))
-0.0%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)))
65.4%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))))
4.1%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (*.f32 (neg.f32 ux) (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))))
Compiler

Compiled 8 544 to 2 613 computations (69.4% saved)

regimes386.0ms (3.9%)

Memory
-19.4MiB live, 783.9MiB allocated
Counts
137 → 1
Calls
Call 1
Inputs
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (pow (- ux (+ (* ux maxCos) 1)) 2) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal -2 binary32) #s(literal 1 binary32))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (pow (- ux (+ (* ux maxCos) 1)) 2) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #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)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos ux) (*.f32 maxCos ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) ux)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 maxCos #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.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(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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))))))
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(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(fma.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) #s(literal 0 binary32)) (*.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) #s(literal 1 binary32))))
Outputs
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux))))
Calls

11 calls:

58.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
38.0ms
uy
36.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
34.0ms
(*.f32 uy #s(literal 2 binary32))
33.0ms
maxCos
Results
AccuracySegmentsBranch
99.0%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
99.0%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
99.0%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))))
99.0%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)))))
99.0%1(*.f32 uy #s(literal 2 binary32))
99.0%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
99.0%1(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
99.0%1(*.f32 (cos.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))))))
99.0%1ux
99.0%1uy
99.0%1maxCos
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes304.0ms (3.1%)

Memory
1.8MiB live, 423.6MiB allocated
Counts
106 → 1
Calls
Call 1
Inputs
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (pow (- ux (+ (* ux maxCos) 1)) 2) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal -2 binary32) #s(literal 1 binary32))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (pow (- ux (+ (* ux maxCos) 1)) 2) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #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)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos ux) (*.f32 maxCos ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) ux)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 maxCos #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.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(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux maxCos))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (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(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #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 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos (*.f32 ux (fma.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(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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))))))
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(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) #s(approx (* (- (* (/ (- 1 maxCos) ux) 2) (pow (- 1 maxCos) 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 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32) #s(literal 1 binary32))))
(*.f32 (cos.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 (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux 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 (cos.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 #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))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))))))
Outputs
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (+.f32 (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 #s(literal 1 binary32) maxCos))) (*.f32 ux ux)))))
Calls

11 calls:

59.0ms
maxCos
26.0ms
(*.f32 (cos.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))))))
25.0ms
ux
25.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
24.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
Results
AccuracySegmentsBranch
98.8%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
98.8%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
98.8%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))))
98.8%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)))))
98.8%1(*.f32 uy #s(literal 2 binary32))
98.8%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
98.8%1(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
98.8%1(*.f32 (cos.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))))))
98.8%1ux
98.8%1uy
98.8%1maxCos
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes242.0ms (2.5%)

Memory
11.4MiB live, 391.5MiB allocated
Counts
92 → 1
Calls
Call 1
Inputs
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (pow (- ux (+ (* ux maxCos) 1)) 2) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal -2 binary32) #s(literal 1 binary32))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (pow (- ux (+ (* ux maxCos) 1)) 2) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #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)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos ux) (*.f32 maxCos ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) ux)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 maxCos #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.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(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux maxCos))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (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(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #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 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos (*.f32 ux (fma.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(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) (*.f32 maxCos maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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(approx (+ (* (- maxCos 1) ux) 1) (*.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal 1 binary32)) maxCos) ux) maxCos)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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(approx (+ (* (- maxCos 1) ux) 1) (*.f32 (neg.f32 ux) (-.f32 (neg.f32 (-.f32 maxCos #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) ux)))))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 uy uy))) (*.f32 uy 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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (sqrt.f32 ux) (sqrt.f32 ux) (-.f32 (*.f32 (neg.f32 maxCos) ux) #s(literal 1 binary32))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (sqrt.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (*.f32 (*.f32 maxCos ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1) #s(literal 2 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (*.f32 (neg.f32 ux) (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (-.f32 #s(literal 2 binary32) ux)) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux))))
(*.f32 (cos.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 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)))))
(*.f32 (cos.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))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 (cos.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 maxCos ux) ux) maxCos)))))
(*.f32 (cos.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)) #s(literal 1 binary32))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos)) ux)) ux))))
(*.f32 (cos.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 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32)))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (*.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (sqrt.f32 #s(literal 2 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(*.f32 (cos.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 (* (- (/ (+ (* -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 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)) ux))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) #s(approx (* (- (* (/ (- 1 maxCos) ux) 2) (pow (- 1 maxCos) 2)) (* ux ux)) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (/ (- 1 maxCos) ux) 2) (pow (- 1 maxCos) 2)) (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))) (*.f32 ux ux)))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (/ (sqrt (* (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 2) (pow (* maxCos ux) 2)))) (sqrt (- (- 1 ux) (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 #s(literal -1/2 binary32) ux) (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos)))))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) #s(approx (* (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos))))))
(*.f32 (cos.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))))
(*.f32 (cos.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 (cos.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 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))))
(*.f32 (cos.f32 (fma.f32 uy (PI.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))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux 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))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (+.f32 #s(literal 2 binary32) (-.f32 (*.f32 #s(literal -2 binary32) maxCos) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(*.f32 (cos.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 (cos.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 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)) ux))))))
(*.f32 (cos.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 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (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 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) #s(approx (* (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos))))))
Calls

11 calls:

27.0ms
uy
23.0ms
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
22.0ms
(*.f32 uy #s(literal 2 binary32))
22.0ms
ux
22.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
Results
AccuracySegmentsBranch
97.1%1(*.f32 uy #s(literal 2 binary32))
97.1%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
97.1%1uy
97.1%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
97.1%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
97.1%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))))
97.1%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)))))
97.1%1(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
97.1%1(*.f32 (cos.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))))))
97.1%1ux
97.1%1maxCos
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes263.0ms (2.7%)

Memory
42.8MiB live, 362.4MiB allocated
Counts
79 → 1
Calls
Call 1
Inputs
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (pow (- ux (+ (* ux maxCos) 1)) 2) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal -2 binary32) #s(literal 1 binary32))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (pow (- ux (+ (* ux maxCos) 1)) 2) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #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)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos ux) (*.f32 maxCos ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) ux)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 maxCos #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.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(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux maxCos))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (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(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #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 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos (*.f32 ux (fma.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(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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))))))
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(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) (*.f32 maxCos maxCos))))))
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(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 uy uy))) (*.f32 uy 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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (sqrt.f32 ux) (sqrt.f32 ux) (-.f32 (*.f32 (neg.f32 maxCos) ux) #s(literal 1 binary32))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (sqrt.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (*.f32 (*.f32 maxCos ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1) #s(literal 2 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (*.f32 (neg.f32 ux) (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (-.f32 #s(literal 2 binary32) ux)) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux))))
(*.f32 (cos.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 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)))))
(*.f32 (cos.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))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 (cos.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 maxCos ux) ux) maxCos)))))
(*.f32 (cos.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)) #s(literal 1 binary32))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos)) ux)) ux))))
(*.f32 (cos.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 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32)))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (*.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (*.f32 (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (sqrt.f32 #s(literal 2 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(*.f32 (cos.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 (* (- (/ (+ (* -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 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)) ux))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) #s(approx (* (- (* (/ (- 1 maxCos) ux) 2) (pow (- 1 maxCos) 2)) (* ux ux)) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (/ (- 1 maxCos) ux) 2) (pow (- 1 maxCos) 2)) (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))) (*.f32 ux ux)))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (/ (sqrt (* (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 2) (pow (* maxCos ux) 2)))) (sqrt (- (- 1 ux) (* maxCos ux)))) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (*.f32 #s(literal -1/2 binary32) ux) (-.f32 (-.f32 (*.f32 #s(literal 3 binary32) maxCos) #s(literal 5 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 maxCos)))))))
Outputs
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos)) ux)) ux))))
Calls

11 calls:

43.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
43.0ms
maxCos
23.0ms
(*.f32 uy #s(literal 2 binary32))
22.0ms
uy
22.0ms
(-.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
97.1%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))))
97.1%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)))))
97.1%1(*.f32 uy #s(literal 2 binary32))
97.1%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
97.1%1(*.f32 (cos.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))))))
97.1%1ux
97.1%1uy
97.1%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
97.1%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
97.1%1maxCos
97.1%1(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes239.0ms (2.4%)

Memory
-15.4MiB live, 332.7MiB allocated
Counts
67 → 2
Calls
Call 1
Inputs
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (pow (- ux (+ (* ux maxCos) 1)) 2) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal -2 binary32) #s(literal 1 binary32))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (pow (- ux (+ (* ux maxCos) 1)) 2) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #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)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos ux) (*.f32 maxCos ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) ux)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 maxCos #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.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(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux maxCos))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (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(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #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 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos (*.f32 ux (fma.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(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) (*.f32 maxCos maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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(approx (+ (* (- maxCos 1) ux) 1) (*.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal 1 binary32)) maxCos) ux) maxCos)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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(approx (+ (* (- maxCos 1) ux) 1) (*.f32 (neg.f32 ux) (-.f32 (neg.f32 (-.f32 maxCos #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) ux)))))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 uy uy))) (*.f32 uy 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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (sqrt.f32 ux) (sqrt.f32 ux) (-.f32 (*.f32 (neg.f32 maxCos) ux) #s(literal 1 binary32))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (sqrt.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (*.f32 (*.f32 maxCos ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1) #s(literal 2 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (*.f32 (neg.f32 ux) (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (-.f32 #s(literal 2 binary32) ux)) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux))))
(*.f32 (cos.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 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)))))
(*.f32 (cos.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))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 (cos.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 maxCos ux) ux) maxCos)))))
(*.f32 (cos.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)) #s(literal 1 binary32))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
Outputs
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (-.f32 #s(literal 2 binary32) ux)) ux))))
Calls

11 calls:

51.0ms
maxCos
26.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
23.0ms
(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)))))
23.0ms
ux
19.0ms
(*.f32 uy #s(literal 2 binary32))
Results
AccuracySegmentsBranch
92.7%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))))
92.7%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)))))
96.9%2(*.f32 uy #s(literal 2 binary32))
96.9%2(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
96.9%2(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
92.7%1(*.f32 (cos.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))))))
92.7%1ux
96.9%2uy
92.7%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
92.7%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
96.3%2maxCos
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes117.0ms (1.2%)

Memory
4.4MiB live, 238.6MiB allocated
Counts
60 → 1
Calls
Call 1
Inputs
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (pow (- ux (+ (* ux maxCos) 1)) 2) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal -2 binary32) #s(literal 1 binary32))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (pow (- ux (+ (* ux maxCos) 1)) 2) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #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)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos ux) (*.f32 maxCos ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) ux)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 maxCos #s(literal 1 binary32)) ux))))))
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(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.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(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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))))))
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(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
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(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (sqrt.f32 ux) (sqrt.f32 ux) (-.f32 (*.f32 (neg.f32 maxCos) ux) #s(literal 1 binary32))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (sqrt.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (*.f32 (*.f32 maxCos ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1) #s(literal 2 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (*.f32 (neg.f32 ux) (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (-.f32 #s(literal 2 binary32) ux)) ux))))
Outputs
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (-.f32 #s(literal 2 binary32) ux)) ux))))
Calls

7 calls:

19.0ms
maxCos
18.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
17.0ms
uy
17.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
16.0ms
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
Results
AccuracySegmentsBranch
92.7%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
92.7%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
92.7%1maxCos
92.7%1(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
92.7%1(*.f32 uy #s(literal 2 binary32))
92.7%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
92.7%1uy
Compiler

Compiled 38 to 41 computations (-7.9% saved)

regimes249.0ms (2.5%)

Memory
-19.4MiB live, 413.5MiB allocated
Counts
59 → 2
Calls
Call 1
Inputs
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (pow (- ux (+ (* ux maxCos) 1)) 2) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal -2 binary32) #s(literal 1 binary32))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (pow (- ux (+ (* ux maxCos) 1)) 2) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #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)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos ux) (*.f32 maxCos ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) ux)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 maxCos #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.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(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux maxCos))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (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(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #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 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos (*.f32 ux (fma.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(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) (*.f32 maxCos maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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(approx (+ (* (- maxCos 1) ux) 1) (*.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal 1 binary32)) maxCos) ux) maxCos)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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(approx (+ (* (- maxCos 1) ux) 1) (*.f32 (neg.f32 ux) (-.f32 (neg.f32 (-.f32 maxCos #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) ux)))))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 uy uy))) (*.f32 uy 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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (sqrt.f32 ux) (sqrt.f32 ux) (-.f32 (*.f32 (neg.f32 maxCos) ux) #s(literal 1 binary32))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (sqrt.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (*.f32 (*.f32 maxCos ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1) #s(literal 2 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (*.f32 (neg.f32 ux) (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
Outputs
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (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))))))
Calls

11 calls:

51.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
48.0ms
maxCos
28.0ms
(*.f32 uy #s(literal 2 binary32))
17.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
17.0ms
ux
Results
AccuracySegmentsBranch
74.2%1(*.f32 uy #s(literal 2 binary32))
74.2%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
74.2%1uy
74.2%1maxCos
86.3%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))))
86.3%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)))))
74.2%1(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
86.7%2(*.f32 (cos.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))))))
86.3%2ux
86.3%2(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
86.3%2(*.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)

regimes107.0ms (1.1%)

Memory
7.2MiB live, 156.2MiB allocated
Counts
58 → 2
Calls
Call 1
Inputs
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (pow (- ux (+ (* ux maxCos) 1)) 2) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal -2 binary32) #s(literal 1 binary32))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (pow (- ux (+ (* ux maxCos) 1)) 2) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #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)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos ux) (*.f32 maxCos ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) ux)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 maxCos #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.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(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux maxCos))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (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(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #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 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos (*.f32 ux (fma.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(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) (*.f32 maxCos maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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(approx (+ (* (- maxCos 1) ux) 1) (*.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal 1 binary32)) maxCos) ux) maxCos)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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(approx (+ (* (- maxCos 1) ux) 1) (*.f32 (neg.f32 ux) (-.f32 (neg.f32 (-.f32 maxCos #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) ux)))))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 uy uy))) (*.f32 uy 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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (sqrt.f32 ux) (sqrt.f32 ux) (-.f32 (*.f32 (neg.f32 maxCos) ux) #s(literal 1 binary32))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (*.f32 (sqrt.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (sqrt.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (*.f32 (*.f32 maxCos ux) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1) #s(literal 2 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (pow (+ (* maxCos ux) (- 1 ux)) 2) 1) 1))) (*.f32 (neg.f32 ux) (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))))
Outputs
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (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))))))
Calls

6 calls:

36.0ms
(-.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))))
16.0ms
ux
15.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
13.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
12.0ms
(*.f32 (cos.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))))))
Results
AccuracySegmentsBranch
78.6%2(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
78.6%2(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
78.6%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))))
78.6%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)))))
78.6%2ux
78.3%2(*.f32 (cos.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 83 to 53 computations (36.1% saved)

regimes135.0ms (1.4%)

Memory
-20.9MiB live, 171.6MiB allocated
Counts
35 → 1
Calls
Call 1
Inputs
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (pow (- ux (+ (* ux maxCos) 1)) 2) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal -2 binary32) #s(literal 1 binary32))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (pow (- ux (+ (* ux maxCos) 1)) 2) (*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (sqrt.f32 #s(literal 2 binary32)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #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)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (*.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 maxCos ux) (*.f32 maxCos ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) ux)))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 maxCos #s(literal 1 binary32)) ux))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.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(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (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 (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 ux maxCos))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 ux (*.f32 ux maxCos)) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
Outputs
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)))))
Calls

11 calls:

35.0ms
(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)))))
13.0ms
(*.f32 uy #s(literal 2 binary32))
11.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
8.0ms
ux
8.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
Results
AccuracySegmentsBranch
65.5%1(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
65.5%1maxCos
65.5%1(*.f32 uy #s(literal 2 binary32))
65.5%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
65.5%1uy
65.5%1(*.f32 (cos.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))))))
65.5%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
65.5%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
65.5%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))))
65.5%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)))))
65.5%1ux
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes11.0ms (0.1%)

Memory
31.8MiB live, 31.8MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

11 calls:

1.0ms
maxCos
1.0ms
(*.f32 (cos.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
uy
1.0ms
(*.f32 uy #s(literal 2 binary32))
Results
AccuracySegmentsBranch
-0.0%1maxCos
-0.0%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
-0.0%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
-0.0%1(*.f32 (cos.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))))))
-0.0%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))))
-0.0%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)))))
-0.0%1ux
-0.0%1(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
-0.0%1(*.f32 uy #s(literal 2 binary32))
-0.0%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
-0.0%1uy
Compiler

Compiled 99 to 79 computations (20.2% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.0001168033923022449
0.00011718114546965808
Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.02504863403737545
0.02550772950053215
Compiler

Compiled 28 to 22 computations (21.4% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
7.054026355035603e-5
7.163355621742085e-5
Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify98.0ms (1%)

Memory
-15.7MiB live, 79.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0124561
1228554
2473546
31067546
42583546
56403546
Stop Event
node limit
Calls
Call 1
Inputs
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (+.f32 (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 #s(literal 1 binary32) maxCos))) (*.f32 ux ux)))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) #s(approx (* (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos))))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos)) ux)) ux))))
(if (<=.f32 uy #s(literal 8040179/68719476736 binary32)) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux)))) (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (-.f32 #s(literal 2 binary32) ux)) ux)))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (-.f32 #s(literal 2 binary32) ux)) ux))))
(if (<=.f32 (*.f32 (cos.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)))))) #s(literal 427819/16777216 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) (*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (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)))))))
(if (<=.f32 ux #s(literal 4879083/68719476736 binary32)) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32))))) (*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (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)))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)))
Outputs
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (+.f32 (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 #s(literal 1 binary32) maxCos))) (*.f32 ux ux)))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (+.f32 (*.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (*.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos))) (*.f32 ux ux)))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) #s(approx (* (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos))))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos)) ux)) ux))))
(if (<=.f32 uy #s(literal 8040179/68719476736 binary32)) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux)))) (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (-.f32 #s(literal 2 binary32) ux)) ux)))))
(if (<=.f32 uy #s(literal 8040179/68719476736 binary32)) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux)))) (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (-.f32 #s(literal 2 binary32) ux)) ux)))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (- (* (- 1 maxCos) 2) (* (pow (- 1 maxCos) 2) ux)) (-.f32 #s(literal 2 binary32) ux)) ux))))
(if (<=.f32 (*.f32 (cos.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)))))) #s(literal 427819/16777216 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) (*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (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)))))))
(if (<=.f32 (*.f32 (cos.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)))))) #s(literal 427819/16777216 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux)))) (*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (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)))))))
(if (<=.f32 ux #s(literal 4879083/68719476736 binary32)) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32))))) (*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (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)))))))
(if (<=.f32 ux #s(literal 4879083/68719476736 binary32)) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32))))) (*.f32 #s(approx (cos (* (* uy 2) (PI))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (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)))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (sqrt (- 1 (pow (- ux (+ (* ux maxCos) 1)) 2))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)))

derivations1.2s (12%)

Memory
-14.5MiB live, 716.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071454
0120403
1429403
23029397
08393375
0154115785
1540315382
0805614699
04062229
114172116
262622098
080821994
07604434
126014202
086864018
01675
02754
111554
298754
0865350
08885340
131525241
080794995
063393
0110279
1459275
23637272
08180268
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 638 to 120 computations (81.2% saved)

preprocess65.0ms (0.7%)

Memory
10.6MiB live, 157.0MiB allocated
Remove

(abs uy)

Compiler

Compiled 1 572 to 416 computations (73.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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