UniformSampleCone, x

Time bar (total: 10.3s)

start0.0ms (0%)

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

analyze231.0ms (2.2%)

Memory
7.5MiB live, 242.3MiB allocated; 178ms collecting garbage
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 (18.5%)

Memory
107.9MiB live, 2 022.1MiB allocated; 1.0s collecting garbage
Samples
1.4s8 253×0valid
1.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-mult: 502.0ms (43% of total)
const: 169.0ms (14.5% of total)
ival-cosu: 140.0ms (12% of total)
ival-<=: 131.0ms (11.2% of total)
ival-sub: 76.0ms (6.5% of total)
ival-sqrt: 58.0ms (5% of total)
ival-add: 42.0ms (3.6% of total)
ival-and: 31.0ms (2.7% of total)
exact: 11.0ms (0.9% of total)
adjust: 3.0ms (0.3% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain244.0ms (2.4%)

Memory
-96.2MiB live, 312.1MiB allocated; 108ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1964(0.003266691230237484 3.683519025798887e-6 2.205711375207364e-33)3(0.0073440466076135635 5.130013081000584e-10 0.0016478170873597264)(-.f32 #s(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(2.7133466574014165e-5 0.24742865562438965 2.409347366680027e-16)(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))))cancellation19710
cos.f32(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))sensitivity12
Confusion
Predicted +Predicted -
+1944
-355
Precision
0.9847715736040609
Recall
0.9797979797979798
Confusion?
Predicted +Predicted MaybePredicted -
+19440
-3649
Precision?
0.9565217391304348
Recall?
1.0
Freqs
test
numberfreq
059
1196
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
56.0ms508×0valid
1.0ms1valid
Compiler

Compiled 245 to 52 computations (78.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 15.0ms (41.4% of total)
ival-cosu: 8.0ms (22.1% of total)
ival-sub: 5.0ms (13.8% of total)
ival-sqrt: 3.0ms (8.3% of total)
ival-pi: 2.0ms (5.5% of total)
ival-add: 2.0ms (5.5% of total)
exact: 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)

preprocess231.0ms (2.2%)

Memory
28.7MiB live, 168.0MiB allocated; 16ms collecting garbage
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; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.9%
(*.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) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
Compiler

Compiled 25 to 16 computations (36% saved)

simplify179.0ms (1.7%)

Memory
-9.7MiB live, 125.0MiB allocated; 10ms collecting garbage
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

localize112.0ms (1.1%)

Memory
14.3MiB live, 110.8MiB allocated; 13ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.1640625
(*.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))))))
accuracy0.33203125
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.40234375
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy13.517371335767836
(-.f32 #s(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
54.0ms254×0valid
0.0ms1valid
Compiler

Compiled 110 to 18 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-cosu: 32.0ms (70.2% of total)
ival-mult: 7.0ms (15.4% of total)
ival-sub: 2.0ms (4.4% of total)
ival-sqrt: 2.0ms (4.4% of total)
ival-pi: 1.0ms (2.2% of total)
ival-add: 1.0ms (2.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory
7.3MiB live, 52.2MiB allocated; 4ms collecting garbage
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
4.0ms
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)))
3.0ms
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
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)))
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)))
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)))

simplify194.0ms (1.9%)

Memory
-0.6MiB live, 225.8MiB allocated; 53ms collecting garbage
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))

rewrite261.0ms (2.5%)

Memory
-1.5MiB live, 281.7MiB allocated; 68ms collecting garbage
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)))
(/.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(/.f32 (-.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)))
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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)))

eval110.0ms (1.1%)

Memory
-1.2MiB live, 273.3MiB allocated; 49ms collecting garbage
Compiler

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

prune62.0ms (0.6%)

Memory
-11.6MiB live, 96.2MiB allocated; 50ms collecting garbage
Pruning

28 alts after pruning (28 fresh and 0 done)

PrunedKeptTotal
New64328671
Fresh000
Picked101
Done000
Total64428672
Accuracy
99.3%
Counts
672 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.0%
(/.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))
56.2%
(/.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))
56.4%
(/.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))
56.9%
(*.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))))))
57.1%
(*.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))))
57.1%
(*.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)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
57.2%
(*.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)))))
55.5%
(*.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))))
56.9%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 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))))))
56.8%
(*.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))))))
56.9%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (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))))))
55.6%
(*.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))))))))
57.0%
(*.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)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
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))))))
57.5%
(*.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))))))
57.0%
(*.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)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
57.1%
(*.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))))))
59.8%
(*.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 (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))))))
45.2%
(*.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))))))
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 (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))))
77.0%
(*.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 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
98.7%
(*.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)))))
52.8%
(*.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)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
94.8%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (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)))))
96.3%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)) (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 -1/16 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 (*.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 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)))))
90.9%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (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)))))
52.8%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (*.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))))))
50.2%
#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 2 172 to 1 334 computations (38.6% saved)

simplify131.0ms (1.3%)

Memory
30.0MiB live, 172.9MiB allocated; 20ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 uy #s(literal 2 binary32))
cost-diff0
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
cost-diff0
(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)))))
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 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
cost-diff1
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
cost-diff8
(-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
cost-diff0
(*.f32 (*.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 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
cost-diff1
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) 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-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 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 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060737
0105692
1211692
2510692
31790692
44421692
57531692
08058676
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 (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))))
(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 (-.f32 #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 (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 (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)
(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)))
#s(literal -2 binary32)
maxCos
(-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))
(*.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))
#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)) (+.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 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) 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 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (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))
maxCos
ux
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
(neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) 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))))
(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 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
#s(literal 1 binary32)
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
maxCos
ux
(-.f32 #s(literal 1 binary32) ux)
(*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos)
(*.f32 (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)
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 (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 (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))) (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 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.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)))
#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 (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)
(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)))
#s(literal -2 binary32)
maxCos
(-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))
(*.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))
#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)) (+.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 (*.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 (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 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos
(*.f32 (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)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(*.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))) (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 (PI.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 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)))
(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)))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))
(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))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
maxCos
ux
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
(neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(+.f32 #s(literal -1 binary32) (-.f32 ux (*.f32 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 (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))) (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 (PI.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 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(sqrt.f32 (fma.f32 (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 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (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 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
maxCos
ux
(-.f32 #s(literal 1 binary32) ux)
(*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos)
(*.f32 (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 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.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)

localize172.0ms (1.7%)

Memory
-29.8MiB live, 205.4MiB allocated; 41ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.13424654098716846
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
accuracy0.1640625
(*.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)))))
accuracy0.29296875
(*.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))
accuracy0.33203125
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.1640625
(*.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))))
accuracy0.33203125
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.3671875
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))
accuracy13.446372512002435
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
accuracy0.13424654098716846
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
accuracy0.1640625
(*.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)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
accuracy0.33203125
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy14.340096352468516
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))
accuracy0.40234375
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy1.0
(*.f32 (PI.f32) (PI.f32))
accuracy3.4409908335991606
#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)))
accuracy13.517371335767836
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
accuracy0.13424654098716846
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
accuracy0.1640625
(*.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)
accuracy0.1640625
(*.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))))
accuracy0.33203125
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
Samples
91.0ms250×0valid
4.0ms1valid
Compiler

Compiled 650 to 50 computations (92.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-mult: 40.0ms (55.2% of total)
ival-sub: 8.0ms (11% of total)
ival-add: 7.0ms (9.7% of total)
ival-sqrt: 5.0ms (6.9% of total)
ival-cosu: 4.0ms (5.5% of total)
ival-pow2: 3.0ms (4.1% of total)
ival-div: 2.0ms (2.8% of total)
adjust: 1.0ms (1.4% of total)
ival-neg: 1.0ms (1.4% of total)
ival-pi: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series48.0ms (0.5%)

Memory
20.8MiB live, 65.5MiB allocated; 8ms collecting garbage
Counts
19 → 169
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 (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))))
(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 #s(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 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 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (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 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) 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 (*.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 (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 (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 (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 (PI.f32) (PI.f32))
(*.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)) (-.f32 #s(literal 1 binary32) 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))
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)))))))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
1
(+ 1 (* ux (- maxCos 1)))
(* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))
(* ux (- (+ 1 (+ (* -1 (- maxCos 1)) (* ux (* (- 1 maxCos) (- maxCos 1))))) maxCos))
(* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (cos (* 2 (* uy (PI)))))
(+ (* 1/2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (cos (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))))))
(+ (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 5)))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))))))))
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(* ux (- 2 maxCos))
(* ux (- (+ 2 (* ux (- maxCos 1))) maxCos))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (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)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))
(* ux (+ 2 (* -2 maxCos)))
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(+ 1 (* ux (- maxCos 2)))
(+ 1 (* ux (- (+ maxCos (* -1 (* ux (- maxCos 1)))) 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)))))))
(* -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))
(* (pow ux 2) (* (- 1 maxCos) (- maxCos 1)))
(* (pow ux 2) (- (+ (* -1 (/ (- maxCos 1) ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (/ 1 ux))) (/ maxCos ux)))
(* (* ux (cos (* 2 (* uy (PI))))) (sqrt (* (- 1 maxCos) (- maxCos 1))))
(* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))))
(* -1 (* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(* (pow ux 2) (- maxCos 1))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (/ maxCos ux))))
(* (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* -1 (* (pow ux 2) (- maxCos 1)))
(* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (/ maxCos ux)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (+ (/ 1 (pow ux 2)) (/ maxCos ux))) (* 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)))))))
(* -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))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (+ 1 (* -1 maxCos)) 2)) (* 2 (/ 1 ux)))))
(* -1 (* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* -1 (* (pow ux 2) (+ 1 (* -1 maxCos))))
(* (pow ux 2) (- (+ (* -1 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (* -1 maxCos))))
(* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))
(* -1 (* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3)))))) ux)) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))) (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 5)))))) ux)) (* -1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ 1 (* -1 maxCos)))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (/ (+ 2 (* -1 maxCos)) ux)))))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (/ (- (+ 2 (* -1 maxCos)) (/ 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 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))
(+ (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))))
(+ (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))))))
(+ (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* 2/3 (* (pow (PI) 4) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))))))))
(sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))
(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))
(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))))
(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(cos (* 2 (* uy (PI))))
(* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 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)))))
(- 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)
(+ 1 (* (- 1 ux) (- ux 1)))
(+ 1 (+ (* maxCos (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* (- 1 ux) (- ux 1))))
(+ 1 (+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (* (- 1 ux) (- ux 1))))
(* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1)))))
(+ (* 1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(+ (* maxCos (+ (* 1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1)))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(+ (* maxCos (+ (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* maxCos (+ (* -1/4 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))))) (sqrt (/ 1 (pow (+ 1 (* (- 1 ux) (- ux 1))) 3))))) (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(- (+ 1 (* -1 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 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))
(+ (* maxCos (* ux (- 1 ux))) (pow (- 1 ux) 2))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(* maxCos (* 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)))))))
(* -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)))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- ux 1)) maxCos))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (+ (/ 1 (pow maxCos 2)) (+ (/ (* ux (- ux 1)) maxCos) (/ (* (- 1 ux) (- ux 1)) (pow maxCos 2)))))))
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1/4 (/ (* (cos (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -1 (* maxCos (* ux (- 1 ux))))
(* maxCos (- (/ 1 maxCos) (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos))))
(* (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) (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 (- 1 ux)))
(* maxCos (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) 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)))))
(* -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 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- ux 1))) (+ (* -1 (/ (+ 1 (* (- 1 ux) (- ux 1))) maxCos)) (* ux (- 1 ux)))) maxCos)) (* -1 (pow ux 2))))
(* -1 (* maxCos (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (cos (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -1 (* ux (- 1 ux))))))
(* (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 ux))) (* -1 (/ (pow (- 1 ux) 2) 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))))
Calls

9 calls:

TimeVariablePointExpression
9.0ms
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 (* (+ (- 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))) (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (* (PI) (PI)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)))
8.0ms
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 (* (+ (- 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))) (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (* (PI) (PI)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)))
6.0ms
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 (* (+ (- 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))) (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (* (PI) (PI)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)))
5.0ms
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 (* (+ (- 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))) (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (* (PI) (PI)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)))
4.0ms
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 (* (+ (- 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))) (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (* (PI) (PI)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)))

simplify213.0ms (2.1%)

Memory
30.3MiB live, 220.0MiB allocated; 28ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09366252
133825708
082915415
Stop Event
iter limit
node limit
Counts
169 → 169
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)))))))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
1
(+ 1 (* ux (- maxCos 1)))
(* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))
(* ux (- (+ 1 (+ (* -1 (- maxCos 1)) (* ux (* (- 1 maxCos) (- maxCos 1))))) maxCos))
(* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (cos (* 2 (* uy (PI)))))
(+ (* 1/2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (cos (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))))))
(+ (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 5)))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))))))))
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(* ux (- 2 maxCos))
(* ux (- (+ 2 (* ux (- maxCos 1))) maxCos))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (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)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))
(* ux (+ 2 (* -2 maxCos)))
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(+ 1 (* ux (- maxCos 2)))
(+ 1 (* ux (- (+ maxCos (* -1 (* ux (- maxCos 1)))) 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)))))))
(* -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))
(* (pow ux 2) (* (- 1 maxCos) (- maxCos 1)))
(* (pow ux 2) (- (+ (* -1 (/ (- maxCos 1) ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (/ 1 ux))) (/ maxCos ux)))
(* (* ux (cos (* 2 (* uy (PI))))) (sqrt (* (- 1 maxCos) (- maxCos 1))))
(* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))))
(* -1 (* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(* (pow ux 2) (- maxCos 1))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (/ maxCos ux))))
(* (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* -1 (* (pow ux 2) (- maxCos 1)))
(* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (/ maxCos ux)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (+ (/ 1 (pow ux 2)) (/ maxCos ux))) (* 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)))))))
(* -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))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (+ 1 (* -1 maxCos)) 2)) (* 2 (/ 1 ux)))))
(* -1 (* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* -1 (* (pow ux 2) (+ 1 (* -1 maxCos))))
(* (pow ux 2) (- (+ (* -1 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (* -1 maxCos))))
(* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))
(* -1 (* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3)))))) ux)) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))) (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 5)))))) ux)) (* -1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ 1 (* -1 maxCos)))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (/ (+ 2 (* -1 maxCos)) ux)))))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (/ (- (+ 2 (* -1 maxCos)) (/ 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 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))
(+ (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))))
(+ (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))))))
(+ (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* 2/3 (* (pow (PI) 4) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))))))))
(sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))
(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))
(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))))
(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(cos (* 2 (* uy (PI))))
(* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 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)))))
(- 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)
(+ 1 (* (- 1 ux) (- ux 1)))
(+ 1 (+ (* maxCos (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* (- 1 ux) (- ux 1))))
(+ 1 (+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (* (- 1 ux) (- ux 1))))
(* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1)))))
(+ (* 1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(+ (* maxCos (+ (* 1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1)))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(+ (* maxCos (+ (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* maxCos (+ (* -1/4 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))))) (sqrt (/ 1 (pow (+ 1 (* (- 1 ux) (- ux 1))) 3))))) (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(- (+ 1 (* -1 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 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))
(+ (* maxCos (* ux (- 1 ux))) (pow (- 1 ux) 2))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(* maxCos (* 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)))))))
(* -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)))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- ux 1)) maxCos))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (+ (/ 1 (pow maxCos 2)) (+ (/ (* ux (- ux 1)) maxCos) (/ (* (- 1 ux) (- ux 1)) (pow maxCos 2)))))))
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1/4 (/ (* (cos (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -1 (* maxCos (* ux (- 1 ux))))
(* maxCos (- (/ 1 maxCos) (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos))))
(* (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) (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 (- 1 ux)))
(* maxCos (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) 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)))))
(* -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 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- ux 1))) (+ (* -1 (/ (+ 1 (* (- 1 ux) (- ux 1))) maxCos)) (* ux (- 1 ux)))) maxCos)) (* -1 (pow ux 2))))
(* -1 (* maxCos (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (cos (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -1 (* ux (- 1 ux))))))
(* (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 ux))) (* -1 (/ (pow (- 1 ux) 2) 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))))
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))))
(* 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))
(* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos) ux)
(* ux (- (+ 1 (+ (* -1 (- maxCos 1)) (* ux (* (- 1 maxCos) (- maxCos 1))))) maxCos))
(*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) ux #s(literal -1 binary32)) #s(literal 1 binary32)) maxCos) ux)
(* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (cos (* 2 (* uy (PI)))))
(*.f32 (sqrt.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos) ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))
(+ (* 1/2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (cos (* 2 (* uy (PI))))))
(fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos) ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(+ (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos) #s(literal 3 binary32))))) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos) ux)))) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos) ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(+ (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 5)))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos) #s(literal 5 binary32)) ux)))) (*.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos) ux) #s(literal 3 binary32))))) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 ux ux) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos) ux)))) (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos) ux)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(*.f32 (fma.f32 (neg.f32 ux) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)
(* ux (- 2 maxCos))
(*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)
(* ux (- (+ 2 (* ux (- maxCos 1))) maxCos))
(*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(fma.f32 (*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 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)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) #s(literal 2 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 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 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))))) #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)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))
(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 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) #s(literal 3 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 (*.f32 (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) #s(literal 2 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))))) #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))))
(* 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 (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 (* 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 2)))
(fma.f32 (-.f32 maxCos #s(literal 2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ maxCos (* -1 (* ux (- maxCos 1)))) 2)))
(fma.f32 (-.f32 (-.f32 maxCos (*.f32 (-.f32 maxCos #s(literal 1 binary32)) 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)
(* -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)
(* (pow ux 2) (* (- 1 maxCos) (- maxCos 1)))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -1 (/ (- maxCos 1) ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (/ 1 ux))) (/ maxCos ux)))
(*.f32 (-.f32 (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux))) (/.f32 maxCos ux)) (*.f32 ux ux))
(* (* ux (cos (* 2 (* uy (PI))))) (sqrt (* (- 1 maxCos) (- maxCos 1))))
(*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux))
(* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos) ux))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) ux)
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 ux ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos) ux))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))) ux)
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 ux ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.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 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos) ux) #s(literal 3 binary32)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos) ux))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))))) ux)
(* -1 (* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(*.f32 (neg.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))) (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))))) (*.f32 ux ux))
(* (pow ux 2) (- maxCos 1))
(*.f32 (*.f32 ux ux) (-.f32 maxCos #s(literal 1 binary32)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (/ maxCos ux))))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))
(* (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(*.f32 (sqrt.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.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)))) ux))
(* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))))) (*.f32 (sqrt.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))) ux)
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
(*.f32 (fma.f32 (*.f32 (/.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)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) #s(literal 3 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) #s(literal -1/8 binary32) (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.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 (sqrt.f32 #s(literal -1 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))))) (*.f32 (sqrt.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))))) ux)
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
(*.f32 (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) #s(literal 5 binary32)))) (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32))))) #s(literal 1/16 binary32) (fma.f32 (*.f32 (/.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)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) #s(literal 3 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) #s(literal -1/8 binary32) (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.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 (sqrt.f32 #s(literal -1 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))))) (*.f32 (sqrt.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))))) ux)
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(* (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))
(* -1 (* (pow ux 2) (- maxCos 1)))
(*.f32 (*.f32 (neg.f32 ux) ux) (-.f32 maxCos #s(literal 1 binary32)))
(* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (/ maxCos ux)) (* 2 (/ 1 ux))))
(*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) (/.f32 maxCos ux)) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (+ (/ 1 (pow ux 2)) (/ maxCos ux))) (* 2 (/ 1 ux))))
(*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (/.f32 maxCos ux))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(*.f32 (neg.f32 ux) (*.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)))
(* -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 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.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)))) (-.f32 #s(literal 1 binary32) 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)))))))
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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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(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))))
(fma.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (fma.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (*.f32 uy uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))))))
(fma.f32 (fma.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (fma.f32 (*.f32 #s(literal -4/45 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)))) (*.f32 uy uy) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) (*.f32 uy uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))
(cos (* 2 (* uy (PI))))
(cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))
(* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))
(*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (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 (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 maxCos ux) (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (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 #s(literal -1/2 binary32) (*.f32 (*.f32 maxCos (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux))) (neg.f32 (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.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 #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 (*.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))))) (*.f32 maxCos (*.f32 (*.f32 (*.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) ux) (*.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))) (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)))))))) 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 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.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 #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))
(-.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 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* (- 1 ux) (- ux 1)))
(fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(+ 1 (+ (* maxCos (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* (- 1 ux) (- ux 1))))
(fma.f32 (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 ux #s(literal 1 binary32)))) maxCos (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(+ 1 (+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (* (- 1 ux) (- ux 1))))
(fma.f32 (-.f32 (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 ux #s(literal 1 binary32)))) (*.f32 (*.f32 ux ux) maxCos)) maxCos (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1)))))
(*.f32 (sqrt.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))
(+ (* 1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (*.f32 (*.f32 (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 ux #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) maxCos)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(+ (* maxCos (+ (* 1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1)))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (fma.f32 (*.f32 maxCos (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (fma.f32 (neg.f32 ux) ux (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 ux #s(literal 1 binary32)))) #s(literal 2 binary32)) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (*.f32 (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 ux #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))))) maxCos (*.f32 (sqrt.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(+ (* maxCos (+ (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* maxCos (+ (* -1/4 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))))) (sqrt (/ 1 (pow (+ 1 (* (- 1 ux) (- ux 1))) 3))))) (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 (neg.f32 ux) ux (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 ux #s(literal 1 binary32)))) #s(literal 2 binary32)) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #s(literal 3 binary32)))) (*.f32 (*.f32 maxCos (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (fma.f32 (neg.f32 ux) ux (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 ux #s(literal 1 binary32)))) #s(literal 2 binary32)) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 ux #s(literal 1 binary32))))))) #s(literal -1/4 binary32))) maxCos (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 ux #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))) maxCos (*.f32 (sqrt.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(- (+ 1 (* -1 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(* 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 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))
(+ (* 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)))
(+ (* maxCos (* ux (- 1 ux))) (pow (- 1 ux) 2))
(*.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux))
(+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(fma.f32 (*.f32 (*.f32 ux ux) (fma.f32 #s(literal -1 binary32) maxCos (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)))) maxCos (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux)))
(* maxCos (* 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 (/.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))) (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 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 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) (*.f32 ux ux))) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (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)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux))) maxCos)
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (*.f32 #s(literal 2 binary32) ux) (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) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- ux 1)) maxCos))))
(*.f32 (fma.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 (neg.f32 ux) ux (/.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (+ (/ 1 (pow maxCos 2)) (+ (/ (* ux (- ux 1)) maxCos) (/ (* (- 1 ux) (- ux 1)) (pow maxCos 2)))))))
(*.f32 (fma.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 (neg.f32 ux) ux (fma.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 ux (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))))) (*.f32 maxCos maxCos))
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (-.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)) ux) maxCos)) #s(literal 1/2 binary32) (*.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 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 ux #s(literal 1 binary32)))) (*.f32 maxCos ux)) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (/.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 ux #s(literal 1 binary32)))) #s(literal 2 binary32)) (*.f32 ux ux)))) (*.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)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux)) maxCos)
(* maxCos (+ (* -1/4 (/ (* (cos (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 ux #s(literal 1 binary32)))) #s(literal 2 binary32)) (*.f32 ux ux)))) (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 ux #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (pow.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos) #s(literal 3 binary32))) #s(literal -1/4 binary32) (fma.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 ux #s(literal 1 binary32)))) (*.f32 maxCos ux)) (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (/.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 ux #s(literal 1 binary32)))) #s(literal 2 binary32)) (*.f32 ux ux)))) (*.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)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux))) maxCos)
(* -1 (* maxCos (* ux (- 1 ux))))
(*.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux))
(* maxCos (- (/ 1 maxCos) (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) maxCos) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos))) maxCos)
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (*.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux))) (*.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 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos) (neg.f32 (*.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux)))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (*.f32 #s(literal 2 binary32) ux) (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)))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)
(* maxCos (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos)))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)))
(*.f32 (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos) #s(literal -1 binary32))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(*.f32 (fma.f32 (neg.f32 ux) ux (*.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 maxCos 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 #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)) (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 (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)))) (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 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux (/.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 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (*.f32 ux ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) (neg.f32 maxCos))) (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 (-.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (neg.f32 maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (-.f32 (/.f32 (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 ux #s(literal 1 binary32)))) maxCos) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- ux 1))) (+ (* -1 (/ (+ 1 (* (- 1 ux) (- ux 1))) maxCos)) (* ux (- 1 ux)))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (fma.f32 ux ux (/.f32 (fma.f32 (neg.f32 ux) (-.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)) (/.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (neg.f32 maxCos))) maxCos))) (*.f32 maxCos maxCos))
(* -1 (* maxCos (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (*.f32 (/.f32 (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (neg.f32 ux) (-.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux))) maxCos)) #s(literal -1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux)) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (*.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (-.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 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)) (/.f32 (*.f32 (*.f32 (neg.f32 ux) (-.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))) (neg.f32 maxCos))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (cos (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 (*.f32 (neg.f32 ux) (-.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux))) (cos.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux) (/.f32 (fma.f32 (/.f32 (*.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (-.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 (sqrt.f32 #s(literal -1 binary32)) ux)) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 (neg.f32 ux) (-.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux))) (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (-.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 (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) #s(literal 3 binary32)) maxCos)) #s(literal 1/4 binary32))) (neg.f32 maxCos))) (neg.f32 maxCos))) (neg.f32 maxCos))
(* -1 (* maxCos (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -1 (* ux (- 1 ux))))))
(*.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 #s(literal 1 binary32) ux) ux)) (neg.f32 maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 2 (* 2 ux))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (*.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux))) (*.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 (-.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 (+ (* -1 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos)))))
(*.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos))) (neg.f32 maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (fma.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) maxCos) (*.f32 ux ux))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (fma.f32 ux ux (/.f32 (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) (*.f32 ux ux) (*.f32 (*.f32 (neg.f32 ux) ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos))) (*.f32 maxCos maxCos))

rewrite260.0ms (2.5%)

Memory
-45.7MiB live, 290.1MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060335
0105254
1396254
22939252
08208250
Stop Event
iter limit
node limit
iter limit
Counts
19 → 591
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 (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))))
(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 #s(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 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 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (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 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) 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 (*.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 (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 (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 (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 (PI.f32) (PI.f32))
(*.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)) (-.f32 #s(literal 1 binary32) 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))
Outputs
(*.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))) (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 (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 (*.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)) #s(literal 2 binary32)) uy))
(*.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))
(fma.f32 (sqrt.f32 (neg.f32 (neg.f32 uy))) (sqrt.f32 (neg.f32 (neg.f32 uy))) uy)
(fma.f32 (sqrt.f32 (neg.f32 uy)) (sqrt.f32 (neg.f32 uy)) uy)
(fma.f32 (sqrt.f32 uy) (sqrt.f32 uy) uy)
(+.f32 uy uy)
(/.f32 (+.f32 (pow.f32 (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #s(literal 3 binary32)) (neg.f32 (pow.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 3 binary32)))) (+.f32 (pow.f32 (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #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 (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (neg.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 2 binary32)))) (neg.f32 (fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)))) (neg.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) (fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (pow.f32 (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)))) (neg.f32 (+.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 (neg.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)))))
(/.f32 (-.f32 (pow.f32 (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 2 binary32))) (fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #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))) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 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)))
(/.f32 (-.f32 (pow.f32 (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 3 binary32))) (fma.f32 (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) (fma.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (pow.f32 (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #s(literal 2 binary32))))
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(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 ux (fma.f32 maxCos ux #s(literal 1 binary32)))))
(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)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))
(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 ux (fma.f32 maxCos ux #s(literal 1 binary32)))))
(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 ux (fma.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 (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 (neg.f32 ux) maxCos) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(+.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 (*.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 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 1 binary32)))
(+.f32 (*.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 (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))))
(*.f32 (*.f32 #s(literal 1 binary32) (-.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)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))
(*.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(*.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (*.f32 (-.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) ux)) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos 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))) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)))
(/.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 #s(literal 1 binary32) ux)) (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 (*.f32 (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (fma.f32 maxCos 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))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))
(/.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))
(/.f32 (*.f32 (fma.f32 maxCos ux (-.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 (*.f32 (-.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) ux) (*.f32 maxCos ux)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (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 (*.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))
(/.f32 (*.f32 (-.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 ux ux))) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (+.f32 ux #s(literal 1 binary32))))
(/.f32 (*.f32 (-.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) (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 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))) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal 1 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))) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (+.f32 (fma.f32 ux ux ux) #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 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 (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 ux #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 #s(literal 1 binary32) (*.f32 ux ux))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (+.f32 ux #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 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (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 ux ux ux) #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 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux 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 ux #s(literal 1 binary32)) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (*.f32 (+.f32 ux #s(literal 1 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 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (*.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (*.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 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 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (*.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(fma.f32 (fabs.f32 (-.f32 ux #s(literal 1 binary32))) (fabs.f32 (-.f32 ux #s(literal 1 binary32))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos))
(fma.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos))
(fma.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos))
(fma.f32 maxCos (*.f32 ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(fma.f32 ux (*.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) (pow.f32 (-.f32 #s(literal 1 binary32) 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) 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))) (neg.f32 ux)) (neg.f32 ux))
(*.f32 (*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux)
(*.f32 (neg.f32 ux) (*.f32 (neg.f32 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 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 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))) ux))
(/.f32 (*.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (*.f32 ux ux)) (+.f32 (/.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 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32))) (*.f32 ux ux)) (+.f32 (fma.f32 (/.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)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 2 binary32))))
(/.f32 (*.f32 (*.f32 ux ux) (-.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)))) (+.f32 (/.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 ux ux) (-.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)))) (+.f32 (fma.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)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 2 binary32))))

eval144.0ms (1.4%)

Memory
31.5MiB live, 215.7MiB allocated; 23ms collecting garbage
Compiler

Compiled 42 569 to 4 192 computations (90.2% saved)

prune77.0ms (0.7%)

Memory
-6.4MiB live, 139.6MiB allocated; 16ms collecting garbage
Pruning

47 alts after pruning (47 fresh and 0 done)

PrunedKeptTotal
New80445849
Fresh21223
Picked505
Done000
Total83047877
Accuracy
99.8%
Counts
877 → 47
Alt Table
Click to see full alt table
StatusAccuracyProgram
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 (* (+ (- 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))))
99.1%
(*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (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))))
98.6%
(*.f32 (sin.f32 (fma.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (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))))
98.5%
(*.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 #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))))
98.7%
(*.f32 (cos.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 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))))
57.1%
(*.f32 (cos.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
55.4%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
58.7%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (fma.f32 (-.f32 (-.f32 maxCos (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) #s(literal 2 binary32)) ux #s(literal 1 binary32)))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
55.5%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.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 #s(literal 1 binary32) ux) ux)) (neg.f32 maxCos))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
98.6%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
77.0%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
45.2%
(*.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))))))
98.8%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 (neg.f32 ux) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux))))
98.7%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))))) (*.f32 ux 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)))) (fma.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux (*.f32 (*.f32 #s(literal -2 binary32) maxCos) ux)))))
98.3%
(*.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 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32))) (*.f32 ux ux)) (+.f32 (fma.f32 (/.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)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 2 binary32)))))))
98.4%
(*.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 (*.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (*.f32 ux ux)) (+.f32 (/.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)))))))
98.7%
(*.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 (pow.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 2 binary32))) ux) (-.f32 (*.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)))))))
77.0%
(*.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 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
42.7%
(*.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 (fma.f32 (neg.f32 ux) ux (*.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 maxCos maxCos))))))
93.3%
(*.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))))))
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)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) 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))))))
98.3%
(*.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 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
93.4%
(*.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)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
48.6%
(*.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 (* (pow (- maxCos 1) 2) ux))) ux) (*.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))))))
55.4%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
98.8%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) ux #s(literal -1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
77.0%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos) ux))))
53.0%
(*.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 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
51.6%
(*.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 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
53.1%
(*.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 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))))
52.9%
(*.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) (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)))))
51.7%
(*.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) (*.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))))))))
53.0%
(*.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)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
51.7%
(*.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) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
53.5%
(*.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 (-.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))))))
52.9%
(*.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 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
25.0%
(*.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)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
42.0%
(*.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) #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))))))
51.5%
(*.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 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))
88.9%
(*.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 #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))))
70.0%
(*.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 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
51.4%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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))))
90.9%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 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)))))
50.3%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
52.9%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))
50.3%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
Compiler

Compiled 4 398 to 2 674 computations (39.2% saved)

simplify158.0ms (1.5%)

Memory
-49.7MiB live, 182.2MiB allocated; 67ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 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(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
cost-diff1
(-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
cost-diff3
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))
cost-diff0
(*.f32 (+.f32 uy uy) (PI.f32))
cost-diff0
(cos.f32 (*.f32 (+.f32 uy uy) (PI.f32)))
cost-diff0
(*.f32 (cos.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
cost-diff1
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) 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)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
cost-diff1
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff3
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
cost-diff0
(-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))
cost-diff0
(fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))
cost-diff0
(sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))
cost-diff0
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
cost-diff0
(neg.f32 (PI.f32))
cost-diff0
(*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (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))))
cost-diff1
(fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))
cost-diff3
(sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085839
0150813
1282813
2636801
32252796
45843786
08116771
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (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))))
(sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))
(neg.f32 (PI.f32))
(PI.f32)
(*.f32 #s(literal 2 binary32) uy)
#s(literal 2 binary32)
uy
(/.f32 (PI.f32) #s(literal 2 binary32))
(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)))
#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 (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)
(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)))
#s(literal -2 binary32)
maxCos
(-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))
(*.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))
#s(literal 1 binary32)
ux
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
(sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))
(fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))
(-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))
ux
(fma.f32 maxCos ux #s(literal 1 binary32))
maxCos
#s(literal 1 binary32)
(-.f32 (fma.f32 maxCos ux #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 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) 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 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
maxCos
#s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)
(/.f32 #s(literal 1 binary32) ux)
(*.f32 (cos.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(cos.f32 (*.f32 (+.f32 uy uy) (PI.f32)))
(*.f32 (+.f32 uy uy) (PI.f32))
(+.f32 uy uy)
uy
(PI.f32)
(sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (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))
maxCos
ux
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
(neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) 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 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
#s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux)))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))
(-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux))
(+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))
(/.f32 #s(literal 2 binary32) ux)
ux
(-.f32 maxCos #s(literal 1 binary32))
maxCos
#s(literal 1 binary32)
(/.f32 maxCos ux)
(*.f32 ux ux)
(*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos)
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
Outputs
(*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (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 #s(literal 2 binary32) (PI.f32)) uy)) (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))))
(sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32))))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy))
(fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (*.f32 uy (PI.f32)) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))
(neg.f32 (PI.f32))
(PI.f32)
(*.f32 #s(literal 2 binary32) uy)
(*.f32 uy #s(literal 2 binary32))
#s(literal 2 binary32)
uy
(/.f32 (PI.f32) #s(literal 2 binary32))
(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)))
#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 (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)
(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)))
#s(literal -2 binary32)
maxCos
(-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))
(*.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))
#s(literal 1 binary32)
ux
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 1 binary32))))
(sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 1 binary32)))
(fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))
(fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 1 binary32))
(-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))
ux
(fma.f32 maxCos ux #s(literal 1 binary32))
maxCos
#s(literal 1 binary32)
(-.f32 (fma.f32 maxCos ux #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 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #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 (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)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #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(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
(-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #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 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))
(*.f32 (-.f32 (fma.f32 maxCos ux #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 (-.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)) (*.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 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)
(/.f32 #s(literal 1 binary32) ux)
(*.f32 (cos.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy)) (sqrt.f32 (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 1 binary32))))
(cos.f32 (*.f32 (+.f32 uy uy) (PI.f32)))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy))
(*.f32 (+.f32 uy uy) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy)
(+.f32 uy uy)
(*.f32 uy #s(literal 2 binary32))
uy
(PI.f32)
(sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 1 binary32)))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))
(fma.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 1 binary32))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
maxCos
ux
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
(neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(neg.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 (sqrt.f32 (fma.f32 (*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) ux) maxCos #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (fma.f32 (-.f32 (-.f32 maxCos (/.f32 maxCos ux)) #s(literal 1 binary32)) ux #s(literal 2 binary32)) ux)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy)))
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy)
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(sqrt.f32 (fma.f32 (*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) ux) maxCos #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (fma.f32 (-.f32 (-.f32 maxCos (/.f32 maxCos ux)) #s(literal 1 binary32)) ux #s(literal 2 binary32)) ux))))
(-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) ux) maxCos #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (fma.f32 (-.f32 (-.f32 maxCos (/.f32 maxCos ux)) #s(literal 1 binary32)) ux #s(literal 2 binary32)) ux)))
#s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux)))
#s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (fma.f32 (-.f32 (-.f32 maxCos (/.f32 maxCos ux)) #s(literal 1 binary32)) ux #s(literal 2 binary32)) ux))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))
(*.f32 (fma.f32 (-.f32 (-.f32 maxCos (/.f32 maxCos ux)) #s(literal 1 binary32)) ux #s(literal 2 binary32)) ux)
(-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux))
(-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (+.f32 (/.f32 maxCos ux) #s(literal 1 binary32)))
(+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))
(-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 1 binary32))
(/.f32 #s(literal 2 binary32) ux)
ux
(-.f32 maxCos #s(literal 1 binary32))
maxCos
#s(literal 1 binary32)
(/.f32 maxCos ux)
(*.f32 ux ux)
(*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)
(*.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) maxCos) ux)
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos)
(*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) maxCos)
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(-.f32 #s(literal 1 binary32) ux)

localize269.0ms (2.6%)

Memory
35.1MiB live, 401.0MiB allocated; 47ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.15234375
(*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)
accuracy0.1640625
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
accuracy0.328125
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))
accuracy0.33203125
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy0.13424654098716846
(cos.f32 (*.f32 (+.f32 uy uy) (PI.f32)))
accuracy0.1640625
(*.f32 (cos.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
accuracy0.33203125
(*.f32 (+.f32 uy uy) (PI.f32))
accuracy14.340096352468516
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))
accuracy0.40234375
(*.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)))
accuracy1.0
(*.f32 (PI.f32) (PI.f32))
accuracy3.4409908335991606
#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)))
accuracy13.517371335767836
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
accuracy0.05985128162065376
(-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))
accuracy0.1015625
(sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))
accuracy5.851373051913032
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
accuracy14.340096352468516
(fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))
accuracy0.109375
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
accuracy0.1640625
(*.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)
accuracy0.1640625
(*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (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))))
accuracy0.3515625
(fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))
Samples
199.0ms250×0valid
6.0ms1valid
Compiler

Compiled 683 to 72 computations (89.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 177.0ms
ival-cosu: 58.0ms (32.8% of total)
ival-mult: 39.0ms (22% of total)
ival-add: 35.0ms (19.8% of total)
ival-sub: 15.0ms (8.5% of total)
ival-sin: 9.0ms (5.1% of total)
ival-div: 7.0ms (4% of total)
ival-sqrt: 7.0ms (4% of total)
ival-pow2: 3.0ms (1.7% of total)
ival-neg: 2.0ms (1.1% of total)
adjust: 1.0ms (0.6% of total)
ival-pi: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series84.0ms (0.8%)

Memory
-10.6MiB live, 77.7MiB allocated; 11ms collecting garbage
Counts
27 → 243
Calls
Call 1
Inputs
(sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (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))))
(neg.f32 (PI.f32))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
(sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))
(fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))
(-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(*.f32 #s(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))))))
#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 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))
(*.f32 (cos.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(cos.f32 (*.f32 (+.f32 uy uy) (PI.f32)))
(*.f32 (+.f32 uy uy) (PI.f32))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))
(-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.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)
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
(*.f32 (PI.f32) (PI.f32))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)
Outputs
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 6)))))))))
(* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (cos (* 2 (* uy (PI)))))
(+ (* 1/2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (cos (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))))))
(+ (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 5)))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))))))))
(sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))
(+ (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* 1/2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (- 1 maxCos) (- maxCos 1)))))
(+ (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2)))) (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (- 1 maxCos) (- maxCos 1)))))))
(+ (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (- 1 maxCos) (- maxCos 1)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2)))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 5)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))))))
(* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))
(* ux (- (+ 1 (+ (* -1 (- maxCos 1)) (* ux (* (- 1 maxCos) (- maxCos 1))))) maxCos))
-1
(- (* ux (- 1 maxCos)) 1)
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)))))))))
(* ux (- 2 maxCos))
(* ux (- (+ 2 (* ux (- maxCos 1))) maxCos))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (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)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))
(* ux (+ 2 (* -2 maxCos)))
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(* maxCos ux)
(* ux (+ maxCos (* maxCos (* ux (- maxCos 1)))))
(* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* (* ux (cos (* 2 (* uy (PI))))) (sqrt (* (- 1 maxCos) (- maxCos 1))))
(* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))))
(* ux (sqrt (* (- 1 maxCos) (- maxCos 1))))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* 1/2 (* (/ (- (+ 1 (* -1 (- maxCos 1))) maxCos) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1/8 (* (/ (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (* 1/2 (* (/ (- (+ 1 (* -1 (- maxCos 1))) maxCos) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))))))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1/8 (* (/ (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (* 1/2 (* (/ (- (+ 1 (* -1 (- maxCos 1))) maxCos) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))))))
(* (pow ux 2) (* (- 1 maxCos) (- maxCos 1)))
(* (pow ux 2) (- (+ (* -1 (/ (- maxCos 1) ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (/ 1 ux))) (/ maxCos ux)))
(* ux (- 1 maxCos))
(* ux (- 1 (+ maxCos (/ 1 ux))))
(* 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) (- maxCos 1))
(* (pow ux 2) (- (+ maxCos (* 2 (/ 1 ux))) (+ 1 (/ maxCos ux))))
(* -1 (* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(* (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* maxCos (* (pow ux 2) (- maxCos 1)))
(* (pow ux 2) (+ (* maxCos (- maxCos 1)) (/ maxCos ux)))
(* -1 (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -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 (* 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))))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (+ 1 (* -1 maxCos)) 2)) (* 2 (/ 1 ux)))))
(* ux (+ 1 (* -1 maxCos)))
(* -1 (* ux (- (/ 1 ux) (+ 1 (* -1 maxCos)))))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* (pow ux 2) (- (+ maxCos (+ (* -1 (/ maxCos ux)) (* 2 (/ 1 ux)))) 1))
(* -1 (* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))
(* -1 (* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3)))))) ux)) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))) (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 5)))))) ux)) (* -1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* maxCos (* (pow ux 2) (+ 1 (* -1 maxCos)))))
(* (pow ux 2) (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (/ maxCos ux)))
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -2 (* uy (* (PI) (cos (* 1/2 (PI)))))))
(+ (sin (* 1/2 (PI))) (* uy (+ (* -2 (* uy (* (pow (PI) 2) (sin (* 1/2 (PI)))))) (* -2 (* (PI) (cos (* 1/2 (PI))))))))
(+ (sin (* 1/2 (PI))) (* uy (+ (* -2 (* (PI) (cos (* 1/2 (PI))))) (* uy (+ (* -2 (* (pow (PI) 2) (sin (* 1/2 (PI))))) (* 4/3 (* uy (* (pow (PI) 3) (cos (* 1/2 (PI)))))))))))
(* 1/2 (PI))
(+ (* -2 (* uy (PI))) (* 1/2 (PI)))
(* (sin (* 1/2 (PI))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(+ (* -2 (* (* uy (* (PI) (cos (* 1/2 (PI))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (sin (* 1/2 (PI))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(+ (* uy (+ (* -2 (* (* uy (* (pow (PI) 2) (sin (* 1/2 (PI))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* -2 (* (* (PI) (cos (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))) (* (sin (* 1/2 (PI))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(+ (* uy (+ (* -2 (* (* (PI) (cos (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* uy (+ (* -2 (* (* (pow (PI) 2) (sin (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/3 (* (* uy (* (pow (PI) 3) (cos (* 1/2 (PI))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))) (* (sin (* 1/2 (PI))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))
(+ (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))))
(+ (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))))))
(+ (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* 2/3 (* (pow (PI) 4) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos 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)))
(sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))
(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))
(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))))
(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))))))
(sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))
(* -2 (* uy (PI)))
(* uy (+ (* -2 (PI)) (* 1/2 (/ (PI) uy))))
(* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(cos (* 2 (* uy (PI))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(* -1 (* uy (+ (* -1/2 (/ (PI) uy)) (* 2 (PI)))))
(* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1)))))
(+ (* 1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(+ (* maxCos (+ (* 1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1)))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(+ (* maxCos (+ (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* maxCos (+ (* -1/4 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))))) (sqrt (/ 1 (pow (+ 1 (* (- 1 ux) (- ux 1))) 3))))) (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(sqrt (+ 1 (* (- 1 ux) (- ux 1))))
(+ (sqrt (+ 1 (* (- 1 ux) (- ux 1)))) (* 1/2 (* (* maxCos (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))
(+ (sqrt (+ 1 (* (- 1 ux) (- ux 1)))) (* maxCos (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (* 1/2 (* (* maxCos (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))))
(+ (sqrt (+ 1 (* (- 1 ux) (- ux 1)))) (* maxCos (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (* maxCos (+ (* -1/4 (* (* maxCos (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1)))))))) (sqrt (/ 1 (pow (+ 1 (* (- 1 ux) (- ux 1))) 3))))) (* 1/2 (* (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1)))))))))))))
(+ 1 (* (- 1 ux) (- ux 1)))
(+ 1 (+ (* maxCos (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* (- 1 ux) (- ux 1))))
(+ 1 (+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (* (- 1 ux) (- ux 1))))
(- ux 1)
(- (+ ux (* -1 (* maxCos ux))) 1)
(* ux (- (/ 1 ux) 1))
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(- 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 ux 2) (- (* 2 (/ 1 ux)) 1))
(+ (* maxCos (* (pow ux 2) (- 1 (/ 1 ux)))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(* 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)))
(+ 1 (* -2 maxCos))
(+ 1 (* maxCos (- maxCos 2)))
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(* maxCos (* ux (- 1 ux)))
(* maxCos (+ (* maxCos (pow ux 2)) (* ux (- 1 ux))))
(* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1)))))))
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1/4 (/ (* (cos (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))))
(* maxCos (* ux (sqrt -1)))
(* maxCos (+ (* 1/2 (/ (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (* maxCos (* ux (sqrt -1))))) (* ux (sqrt -1))))
(* maxCos (+ (* 1/2 (/ (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1)))))
(* maxCos (+ (* -1/4 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- ux 1)) maxCos))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (+ (/ 1 (pow maxCos 2)) (+ (/ (* ux (- ux 1)) maxCos) (/ (* (- 1 ux) (- ux 1)) (pow maxCos 2)))))))
(* -1 (* maxCos ux))
(* maxCos (- (/ ux maxCos) (+ ux (/ 1 maxCos))))
(* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* 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)))))))
(* maxCos (* (pow ux 2) (- 1 (/ 1 ux))))
(* maxCos (+ (* (pow ux 2) (- 1 (/ 1 ux))) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (+ (* -1 (/ (* 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)
(* (pow maxCos 2) (- 1 (* 2 (/ 1 maxCos))))
(* (pow maxCos 2) (- (+ 1 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))
(* (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) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))
(* -1 (* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (cos (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (* ux (sqrt -1))))
(* -1 (* maxCos (+ (* -1/2 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (* maxCos (* ux (sqrt -1))))) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (* ux (sqrt -1))))) maxCos)) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (* ux (sqrt -1))))) maxCos)) (* ux (sqrt -1)))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- ux 1))) (+ (* -1 (/ (+ 1 (* (- 1 ux) (- ux 1))) maxCos)) (* ux (- 1 ux)))) maxCos)) (* -1 (pow ux 2))))
(* -1 (* maxCos (- (* -1 (/ (- ux 1) maxCos)) (* -1 ux))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -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))))))
(* -1 (* maxCos (* (pow ux 2) (- (/ 1 ux) 1))))
(* -1 (* maxCos (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (/ 1 ux) 1)))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) 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 (* -1 (/ (- 2 (/ 1 maxCos)) maxCos))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
Calls

9 calls:

TimeVariablePointExpression
33.0ms
ux
@inf
((sin (+ (* (neg (PI)) (* 2 uy)) (/ (PI) 2))) (+ (* (neg (PI)) (* 2 uy)) (/ (PI) 2)) (* (sin (+ (* (neg (PI)) (* 2 uy)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (neg (PI)) (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1)) (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (- ux (+ (* maxCos ux) 1)) (* (- (+ (/ 1 ux) maxCos) 1) ux) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (* (cos (* (+ uy uy) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (cos (* (+ uy uy) (PI))) (* (+ uy uy) (PI)) (* (- (+ (/ 2 ux) (- maxCos 1)) (/ maxCos ux)) (* ux ux)) (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (cos (* (* uy 2) (PI))) (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (pow (- maxCos 1) 2) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (PI) (PI)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux))
9.0ms
ux
@0
((sin (+ (* (neg (PI)) (* 2 uy)) (/ (PI) 2))) (+ (* (neg (PI)) (* 2 uy)) (/ (PI) 2)) (* (sin (+ (* (neg (PI)) (* 2 uy)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (neg (PI)) (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1)) (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (- ux (+ (* maxCos ux) 1)) (* (- (+ (/ 1 ux) maxCos) 1) ux) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (* (cos (* (+ uy uy) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (cos (* (+ uy uy) (PI))) (* (+ uy uy) (PI)) (* (- (+ (/ 2 ux) (- maxCos 1)) (/ maxCos ux)) (* ux ux)) (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (cos (* (* uy 2) (PI))) (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (pow (- maxCos 1) 2) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (PI) (PI)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux))
4.0ms
uy
@0
((sin (+ (* (neg (PI)) (* 2 uy)) (/ (PI) 2))) (+ (* (neg (PI)) (* 2 uy)) (/ (PI) 2)) (* (sin (+ (* (neg (PI)) (* 2 uy)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (neg (PI)) (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1)) (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (- ux (+ (* maxCos ux) 1)) (* (- (+ (/ 1 ux) maxCos) 1) ux) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (* (cos (* (+ uy uy) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (cos (* (+ uy uy) (PI))) (* (+ uy uy) (PI)) (* (- (+ (/ 2 ux) (- maxCos 1)) (/ maxCos ux)) (* ux ux)) (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (cos (* (* uy 2) (PI))) (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (pow (- maxCos 1) 2) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (PI) (PI)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux))
4.0ms
ux
@-inf
((sin (+ (* (neg (PI)) (* 2 uy)) (/ (PI) 2))) (+ (* (neg (PI)) (* 2 uy)) (/ (PI) 2)) (* (sin (+ (* (neg (PI)) (* 2 uy)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (neg (PI)) (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1)) (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (- ux (+ (* maxCos ux) 1)) (* (- (+ (/ 1 ux) maxCos) 1) ux) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (* (cos (* (+ uy uy) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (cos (* (+ uy uy) (PI))) (* (+ uy uy) (PI)) (* (- (+ (/ 2 ux) (- maxCos 1)) (/ maxCos ux)) (* ux ux)) (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (cos (* (* uy 2) (PI))) (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (pow (- maxCos 1) 2) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (PI) (PI)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux))
4.0ms
maxCos
@0
((sin (+ (* (neg (PI)) (* 2 uy)) (/ (PI) 2))) (+ (* (neg (PI)) (* 2 uy)) (/ (PI) 2)) (* (sin (+ (* (neg (PI)) (* 2 uy)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (neg (PI)) (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1)) (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (- ux (+ (* maxCos ux) 1)) (* (- (+ (/ 1 ux) maxCos) 1) ux) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (* (cos (* (+ uy uy) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (cos (* (+ uy uy) (PI))) (* (+ uy uy) (PI)) (* (- (+ (/ 2 ux) (- maxCos 1)) (/ maxCos ux)) (* ux ux)) (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (cos (* (* uy 2) (PI))) (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (pow (- maxCos 1) 2) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (PI) (PI)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux))

simplify237.0ms (2.3%)

Memory
47.3MiB live, 271.8MiB allocated; 30ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012769634
148089448
091238903
Stop Event
iter limit
node limit
Counts
243 → 243
Calls
Call 1
Inputs
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 6)))))))))
(* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (cos (* 2 (* uy (PI)))))
(+ (* 1/2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (cos (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))))))
(+ (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 5)))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))))))))
(sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))
(+ (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* 1/2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (- 1 maxCos) (- maxCos 1)))))
(+ (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2)))) (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (- 1 maxCos) (- maxCos 1)))))))
(+ (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (- 1 maxCos) (- maxCos 1)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2)))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 5)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))))))
(* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))
(* ux (- (+ 1 (+ (* -1 (- maxCos 1)) (* ux (* (- 1 maxCos) (- maxCos 1))))) maxCos))
-1
(- (* ux (- 1 maxCos)) 1)
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)))))))))
(* ux (- 2 maxCos))
(* ux (- (+ 2 (* ux (- maxCos 1))) maxCos))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (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)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))
(* ux (+ 2 (* -2 maxCos)))
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(* maxCos ux)
(* ux (+ maxCos (* maxCos (* ux (- maxCos 1)))))
(* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* (* ux (cos (* 2 (* uy (PI))))) (sqrt (* (- 1 maxCos) (- maxCos 1))))
(* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))))
(* ux (sqrt (* (- 1 maxCos) (- maxCos 1))))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* 1/2 (* (/ (- (+ 1 (* -1 (- maxCos 1))) maxCos) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1/8 (* (/ (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (* 1/2 (* (/ (- (+ 1 (* -1 (- maxCos 1))) maxCos) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))))))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1/8 (* (/ (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (* 1/2 (* (/ (- (+ 1 (* -1 (- maxCos 1))) maxCos) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))))))
(* (pow ux 2) (* (- 1 maxCos) (- maxCos 1)))
(* (pow ux 2) (- (+ (* -1 (/ (- maxCos 1) ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (/ 1 ux))) (/ maxCos ux)))
(* ux (- 1 maxCos))
(* ux (- 1 (+ maxCos (/ 1 ux))))
(* 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) (- maxCos 1))
(* (pow ux 2) (- (+ maxCos (* 2 (/ 1 ux))) (+ 1 (/ maxCos ux))))
(* -1 (* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(* (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* maxCos (* (pow ux 2) (- maxCos 1)))
(* (pow ux 2) (+ (* maxCos (- maxCos 1)) (/ maxCos ux)))
(* -1 (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -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 (* 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))))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (+ 1 (* -1 maxCos)) 2)) (* 2 (/ 1 ux)))))
(* ux (+ 1 (* -1 maxCos)))
(* -1 (* ux (- (/ 1 ux) (+ 1 (* -1 maxCos)))))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* (pow ux 2) (- (+ maxCos (+ (* -1 (/ maxCos ux)) (* 2 (/ 1 ux)))) 1))
(* -1 (* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))
(* -1 (* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3)))))) ux)) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))) (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 5)))))) ux)) (* -1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* maxCos (* (pow ux 2) (+ 1 (* -1 maxCos)))))
(* (pow ux 2) (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (/ maxCos ux)))
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -2 (* uy (* (PI) (cos (* 1/2 (PI)))))))
(+ (sin (* 1/2 (PI))) (* uy (+ (* -2 (* uy (* (pow (PI) 2) (sin (* 1/2 (PI)))))) (* -2 (* (PI) (cos (* 1/2 (PI))))))))
(+ (sin (* 1/2 (PI))) (* uy (+ (* -2 (* (PI) (cos (* 1/2 (PI))))) (* uy (+ (* -2 (* (pow (PI) 2) (sin (* 1/2 (PI))))) (* 4/3 (* uy (* (pow (PI) 3) (cos (* 1/2 (PI)))))))))))
(* 1/2 (PI))
(+ (* -2 (* uy (PI))) (* 1/2 (PI)))
(* (sin (* 1/2 (PI))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(+ (* -2 (* (* uy (* (PI) (cos (* 1/2 (PI))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (sin (* 1/2 (PI))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(+ (* uy (+ (* -2 (* (* uy (* (pow (PI) 2) (sin (* 1/2 (PI))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* -2 (* (* (PI) (cos (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))) (* (sin (* 1/2 (PI))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(+ (* uy (+ (* -2 (* (* (PI) (cos (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* uy (+ (* -2 (* (* (pow (PI) 2) (sin (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/3 (* (* uy (* (pow (PI) 3) (cos (* 1/2 (PI))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))) (* (sin (* 1/2 (PI))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))
(+ (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))))
(+ (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))))))
(+ (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* 2/3 (* (pow (PI) 4) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos 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)))
(sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))
(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))
(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))))
(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))))))
(sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))
(* -2 (* uy (PI)))
(* uy (+ (* -2 (PI)) (* 1/2 (/ (PI) uy))))
(* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(cos (* 2 (* uy (PI))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(* -1 (* uy (+ (* -1/2 (/ (PI) uy)) (* 2 (PI)))))
(* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1)))))
(+ (* 1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(+ (* maxCos (+ (* 1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1)))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(+ (* maxCos (+ (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* maxCos (+ (* -1/4 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))))) (sqrt (/ 1 (pow (+ 1 (* (- 1 ux) (- ux 1))) 3))))) (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(sqrt (+ 1 (* (- 1 ux) (- ux 1))))
(+ (sqrt (+ 1 (* (- 1 ux) (- ux 1)))) (* 1/2 (* (* maxCos (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))
(+ (sqrt (+ 1 (* (- 1 ux) (- ux 1)))) (* maxCos (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (* 1/2 (* (* maxCos (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))))
(+ (sqrt (+ 1 (* (- 1 ux) (- ux 1)))) (* maxCos (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (* maxCos (+ (* -1/4 (* (* maxCos (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1)))))))) (sqrt (/ 1 (pow (+ 1 (* (- 1 ux) (- ux 1))) 3))))) (* 1/2 (* (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1)))))))))))))
(+ 1 (* (- 1 ux) (- ux 1)))
(+ 1 (+ (* maxCos (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* (- 1 ux) (- ux 1))))
(+ 1 (+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (* (- 1 ux) (- ux 1))))
(- ux 1)
(- (+ ux (* -1 (* maxCos ux))) 1)
(* ux (- (/ 1 ux) 1))
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(- 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 ux 2) (- (* 2 (/ 1 ux)) 1))
(+ (* maxCos (* (pow ux 2) (- 1 (/ 1 ux)))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(* 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)))
(+ 1 (* -2 maxCos))
(+ 1 (* maxCos (- maxCos 2)))
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(* maxCos (* ux (- 1 ux)))
(* maxCos (+ (* maxCos (pow ux 2)) (* ux (- 1 ux))))
(* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1)))))))
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1/4 (/ (* (cos (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))))
(* maxCos (* ux (sqrt -1)))
(* maxCos (+ (* 1/2 (/ (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (* maxCos (* ux (sqrt -1))))) (* ux (sqrt -1))))
(* maxCos (+ (* 1/2 (/ (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1)))))
(* maxCos (+ (* -1/4 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- ux 1)) maxCos))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (+ (/ 1 (pow maxCos 2)) (+ (/ (* ux (- ux 1)) maxCos) (/ (* (- 1 ux) (- ux 1)) (pow maxCos 2)))))))
(* -1 (* maxCos ux))
(* maxCos (- (/ ux maxCos) (+ ux (/ 1 maxCos))))
(* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* 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)))))))
(* maxCos (* (pow ux 2) (- 1 (/ 1 ux))))
(* maxCos (+ (* (pow ux 2) (- 1 (/ 1 ux))) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (+ (* -1 (/ (* 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)
(* (pow maxCos 2) (- 1 (* 2 (/ 1 maxCos))))
(* (pow maxCos 2) (- (+ 1 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))
(* (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) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))
(* -1 (* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (cos (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (* ux (sqrt -1))))
(* -1 (* maxCos (+ (* -1/2 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (* maxCos (* ux (sqrt -1))))) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (* ux (sqrt -1))))) maxCos)) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (* ux (sqrt -1))))) maxCos)) (* ux (sqrt -1)))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- ux 1))) (+ (* -1 (/ (+ 1 (* (- 1 ux) (- ux 1))) maxCos)) (* ux (- 1 ux)))) maxCos)) (* -1 (pow ux 2))))
(* -1 (* maxCos (- (* -1 (/ (- ux 1) maxCos)) (* -1 ux))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -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))))))
(* -1 (* maxCos (* (pow ux 2) (- (/ 1 ux) 1))))
(* -1 (* maxCos (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (/ 1 ux) 1)))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) 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 (* -1 (/ (- 2 (/ 1 maxCos)) maxCos))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
Outputs
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))))
(*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))))
(fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (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 (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 4)))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) #s(literal -1/8 binary32) (*.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)) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))) #s(literal -1/2 binary32))) (*.f32 ux ux) (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (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)) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (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)) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))) #s(literal -1/8 binary32))) (*.f32 ux ux))) (*.f32 ux ux) (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (cos (* 2 (* uy (PI)))))
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))
(+ (* 1/2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (cos (* 2 (* uy (PI))))))
(fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
(+ (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))) (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) #s(literal 3 binary32))))) (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 ux ux) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
(+ (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 5)))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux) #s(literal 3 binary32))))) (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (*.f32 #s(literal 1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) #s(literal 5 binary32)) ux)))) (*.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))))) (*.f32 ux ux) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))) (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32))))) (*.f32 ux ux) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
(sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))
(sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))
(+ (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* 1/2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (- 1 maxCos) (- maxCos 1)))))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) #s(literal 1/2 binary32) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))
(+ (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2)))) (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (- 1 maxCos) (- maxCos 1)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) #s(literal 3 binary32))))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 ux ux) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))
(+ (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (- 1 maxCos) (- maxCos 1)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2)))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 5)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux) #s(literal 3 binary32))))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (*.f32 #s(literal 1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) #s(literal 5 binary32)) ux)))) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32)))) (*.f32 ux ux) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))))) (*.f32 ux ux) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))
(* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))
(*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)
(* ux (- (+ 1 (+ (* -1 (- maxCos 1)) (* ux (* (- 1 maxCos) (- maxCos 1))))) maxCos))
(*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (-.f32 maxCos #s(literal 1 binary32)) (neg.f32 (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1 binary32)) maxCos) ux)
-1
#s(literal -1 binary32)
(- (* ux (- 1 maxCos)) 1)
(-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 1 binary32))
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 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (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 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (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))))) #s(literal -1/2 binary32) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (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 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 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 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32))) (*.f32 ux ux) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (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 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (fma.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 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 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (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))))) #s(literal -1/8 binary32))) (*.f32 ux ux))) (*.f32 ux ux) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(* ux (- 2 maxCos))
(*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)
(* ux (- (+ 2 (* ux (- maxCos 1))) maxCos))
(*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)
(* ux (- 2 (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux)
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(fma.f32 (*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (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 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (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)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 2 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 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32))) (*.f32 ux ux) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (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)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))
(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 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 3 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 (*.f32 (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (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))))) #s(literal -1/8 binary32))) (*.f32 ux ux))) (*.f32 ux ux) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 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 (* -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 (* 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))
(* maxCos ux)
(*.f32 maxCos ux)
(* ux (+ maxCos (* maxCos (* ux (- maxCos 1)))))
(*.f32 (fma.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) maxCos maxCos) ux)
(* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (*.f32 ux (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))))
(* ux (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (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)) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (-.f32 maxCos #s(literal 1 binary32)))) ux)
(* ux (+ (* -1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (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)) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (*.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (-.f32 maxCos #s(literal 1 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (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)) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (*.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)) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (*.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)) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (-.f32 maxCos #s(literal 1 binary32)))))) ux)
(* (* ux (cos (* 2 (* uy (PI))))) (sqrt (* (- 1 maxCos) (- maxCos 1))))
(*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) ux))
(* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))) ux)
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (pow.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (*.f32 ux ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))))) ux)
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (pow.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (*.f32 ux ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32)))) (fma.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (pow.f32 (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux) #s(literal 3 binary32)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))))) ux)
(* ux (sqrt (* (- 1 maxCos) (- maxCos 1))))
(*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) ux)
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* 1/2 (* (/ (- (+ 1 (* -1 (- maxCos 1))) maxCos) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))))) ux)
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1/8 (* (/ (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (* 1/2 (* (/ (- (+ 1 (* -1 (- maxCos 1))) maxCos) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))))))
(*.f32 (+.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (pow.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) #s(literal 2 binary32)) (*.f32 ux ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32)))))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))))) ux)
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1/8 (* (/ (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (* 1/2 (* (/ (- (+ 1 (* -1 (- maxCos 1))) maxCos) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))))))
(*.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (pow.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) #s(literal 2 binary32)) (*.f32 ux ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32)))) (fma.f32 (*.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux) #s(literal 3 binary32))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32)))) (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32))))))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))))) ux)
(* (pow ux 2) (* (- 1 maxCos) (- maxCos 1)))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -1 (/ (- maxCos 1) ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (/ 1 ux))) (/ maxCos ux)))
(*.f32 (-.f32 (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux))) (/.f32 maxCos ux)) (*.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 (- 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))))
(*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) 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 (*.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 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 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)
(* (pow ux 2) (- maxCos 1))
(*.f32 (*.f32 ux ux) (-.f32 maxCos #s(literal 1 binary32)))
(* (pow ux 2) (- (+ maxCos (* 2 (/ 1 ux))) (+ 1 (/ maxCos ux))))
(*.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 1 binary32)) (/.f32 maxCos ux)) (*.f32 ux ux))
(* -1 (* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(*.f32 (neg.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos))) (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos)))) (*.f32 ux ux))
(* (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(*.f32 (sqrt.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.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))
(* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)))) (*.f32 (sqrt.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))))) ux)
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- 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))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
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(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
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(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
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(* (pow ux 2) (pow (- maxCos 1) 2))
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(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
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(* maxCos (* (pow ux 2) (- maxCos 1)))
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(* (pow ux 2) (+ (* maxCos (- maxCos 1)) (/ maxCos ux)))
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(* -1 (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
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(* -1 (* ux (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
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(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
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(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
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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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(* -1 (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))
(*.f32 (neg.f32 ux) (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))))
(* -1 (* ux (+ (* 1/2 (/ (+ 2 (* -2 maxCos)) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
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(* -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))))))
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(* -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))))))
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(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
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(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (+ 1 (* -1 maxCos)) 2)) (* 2 (/ 1 ux)))))
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(* ux (+ 1 (* -1 maxCos)))
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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))))) (* (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))))))))))
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(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))
(fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.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 #s(literal 2/3 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.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 (fma.f32 (*.f32 #s(literal -4/45 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 uy uy) #s(literal 1 binary32))
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))
(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))
(fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))
(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))))
(fma.f32 (fma.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 uy uy))) #s(literal 2/3 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))) (*.f32 uy uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))
(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (pow.f32 (PI.f32) #s(literal 4 binary32))) #s(literal 2/3 binary32) (*.f32 (*.f32 (*.f32 #s(literal -4/45 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))) (*.f32 uy uy) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))) (*.f32 uy uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))
(sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))
(sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(* -2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))
(* uy (+ (* -2 (PI)) (* 1/2 (/ (PI) uy))))
(*.f32 (fma.f32 (/.f32 (PI.f32) uy) #s(literal 1/2 binary32) (*.f32 #s(literal -2 binary32) (PI.f32))) uy)
(* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
(* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))
(*.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))
(cos (* 2 (* uy (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))
(* -1 (* uy (+ (* -1/2 (/ (PI) uy)) (* 2 (PI)))))
(*.f32 (neg.f32 uy) (fma.f32 (/.f32 (PI.f32) uy) #s(literal -1/2 binary32) (*.f32 (PI.f32) #s(literal 2 binary32))))
(* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
(+ (* -1 (* (* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (neg.f32 (*.f32 (*.f32 maxCos ux) (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) ux)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (neg.f32 (*.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (-.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)) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.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))))))) #s(literal -1/2 binary32))) maxCos (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (*.f32 (*.f32 maxCos ux) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))) (*.f32 (*.f32 (fma.f32 (*.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 ux ux)) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (*.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 (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (-.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)))) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1)))))
(*.f32 (sqrt.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))
(+ (* 1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (*.f32 (*.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) maxCos)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))))
(+ (* maxCos (+ (* 1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1)))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (*.f32 maxCos (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (fma.f32 (neg.f32 ux) ux (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))))) maxCos (*.f32 (sqrt.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))))
(+ (* maxCos (+ (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* maxCos (+ (* -1/4 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))))) (sqrt (/ 1 (pow (+ 1 (* (- 1 ux) (- ux 1))) 3))))) (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 (neg.f32 ux) ux (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #s(literal 3 binary32)))) (*.f32 (*.f32 maxCos (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (*.f32 (fma.f32 (neg.f32 ux) ux (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) #s(literal -1/4 binary32))) maxCos (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))) maxCos (*.f32 (sqrt.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))))
(sqrt (+ 1 (* (- 1 ux) (- ux 1))))
(sqrt.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(+ (sqrt (+ 1 (* (- 1 ux) (- ux 1)))) (* 1/2 (* (* maxCos (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) maxCos)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))
(+ (sqrt (+ 1 (* (- 1 ux) (- ux 1)))) (* maxCos (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (* 1/2 (* (* maxCos (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (*.f32 (fma.f32 (neg.f32 ux) ux (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) maxCos) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))))) maxCos (sqrt.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))
(+ (sqrt (+ 1 (* (- 1 ux) (- ux 1)))) (* maxCos (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (* maxCos (+ (* -1/4 (* (* maxCos (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1)))))))) (sqrt (/ 1 (pow (+ 1 (* (- 1 ux) (- ux 1))) 3))))) (* 1/2 (* (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1)))))))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (fma.f32 (neg.f32 ux) ux (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (*.f32 (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) maxCos) (fma.f32 (neg.f32 ux) ux (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #s(literal 3 binary32))))) #s(literal -1/4 binary32))) maxCos (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #s(literal 1/2 binary32))) maxCos (sqrt.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))
(+ 1 (* (- 1 ux) (- ux 1)))
(fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(+ 1 (+ (* maxCos (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* (- 1 ux) (- ux 1))))
(+.f32 (fma.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) maxCos (*.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))
(+ 1 (+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (* (- 1 ux) (- ux 1))))
(+.f32 (fma.f32 (-.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (*.f32 ux ux) maxCos)) maxCos (*.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))
(- ux 1)
(-.f32 ux #s(literal 1 binary32))
(- (+ ux (* -1 (* maxCos ux))) 1)
(-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))
(* ux (- (/ 1 ux) 1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(- 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))))
(*.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 maxCos ux) (*.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 (*.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) ux) (*.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))) maxCos) (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 (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)))))
(* (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) (- 1 (/ 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 1 binary32) (/.f32 #s(literal 1 binary32) ux))))
(- 1 (pow (- 1 ux) 2))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(-.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)))
(* 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 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))
(+ (* 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))
(+ 1 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))
(+ 1 (* maxCos (- maxCos 2)))
(fma.f32 (-.f32 maxCos #s(literal 2 binary32)) maxCos #s(literal 1 binary32))
(pow (- 1 ux) 2)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(fma.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32) (*.f32 (*.f32 ux ux) maxCos)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(* maxCos (* ux (- 1 ux)))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)
(* maxCos (+ (* maxCos (pow ux 2)) (* ux (- 1 ux))))
(*.f32 (fma.f32 (*.f32 ux ux) maxCos (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) maxCos)
(* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))
(*.f32 (*.f32 maxCos ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1)))))
(*.f32 (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) ux (/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 maxCos) (sqrt.f32 #s(literal -1 binary32))))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos maxCos)) (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) ux))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1)))))))
(*.f32 (fma.f32 (sin.f32 (neg.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (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)) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (*.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 (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) ux)))) maxCos)
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(*.f32 (*.f32 maxCos ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))))
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos ux)) (/.f32 (*.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (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 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) maxCos) (fma.f32 (/.f32 (*.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) ux))) maxCos)
(* maxCos (+ (* -1/4 (/ (* (cos (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 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))) (/.f32 (*.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (pow.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos) #s(literal 3 binary32)))) #s(literal -1/4 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) maxCos) (fma.f32 (/.f32 (*.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) ux)))) maxCos)
(* maxCos (* ux (sqrt -1)))
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)
(* maxCos (+ (* 1/2 (/ (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (* maxCos (* ux (sqrt -1))))) (* ux (sqrt -1))))
(*.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) maxCos)
(* maxCos (+ (* 1/2 (/ (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1)))))
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos ux)) (/.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) maxCos)
(* maxCos (+ (* -1/4 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1))))))
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (pow.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos) #s(literal 3 binary32))) #s(literal -1/4 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 maxCos ux)) (/.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))) maxCos)
(* -1 (* (pow maxCos 2) (pow ux 2)))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- ux 1)) maxCos))))
(*.f32 (fma.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 (neg.f32 ux) ux (/.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (+ (/ 1 (pow maxCos 2)) (+ (/ (* ux (- ux 1)) maxCos) (/ (* (- 1 ux) (- ux 1)) (pow maxCos 2)))))))
(*.f32 (fma.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 (neg.f32 ux) ux (+.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (/.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos)) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(* -1 (* maxCos ux))
(*.f32 (neg.f32 ux) maxCos)
(* maxCos (- (/ ux maxCos) (+ ux (/ 1 maxCos))))
(*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)
(* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(*.f32 (fma.f32 ux (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos) ux) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) 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 (*.f32 #s(literal -2 binary32) uy) (PI.f32) (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)
(* maxCos (* (pow ux 2) (- 1 (/ 1 ux))))
(*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)))
(* maxCos (+ (* (pow ux 2) (- 1 (/ 1 ux))) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) 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) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (fma.f32 ux (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) (*.f32 ux ux))) (*.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 (neg.f32 ux) ux (*.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos)))) (*.f32 maxCos maxCos))
(pow maxCos 2)
(*.f32 maxCos maxCos)
(* (pow maxCos 2) (- 1 (* 2 (/ 1 maxCos))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (+ 1 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos)))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))
(*.f32 (fma.f32 ux ux (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1)))))
(*.f32 (*.f32 (neg.f32 ux) maxCos) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) ux (/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 maxCos) (sqrt.f32 #s(literal -1 binary32))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 ux (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (*.f32 (/.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 maxCos 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))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 ux (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (*.f32 ux ux) 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)) #s(literal -1 binary32))) (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) (neg.f32 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 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))))
(* -1 (* maxCos (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 maxCos ux)) (/.f32 (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) (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 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) ux (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) ux) (*.f32 (*.f32 (/.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (*.f32 maxCos ux)) (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (cos (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) ux (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) ux) (/.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) ux) (/.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 (/.f32 (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) #s(literal 3 binary32))) (/.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) maxCos)) #s(literal 1/4 binary32))) (neg.f32 maxCos))) (neg.f32 maxCos))))
(* -1 (* maxCos (* ux (sqrt -1))))
(*.f32 (neg.f32 maxCos) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))
(* -1 (* maxCos (+ (* -1/2 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (* maxCos (* ux (sqrt -1))))) (* ux (sqrt -1)))))
(*.f32 (neg.f32 maxCos) (fma.f32 (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (* 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) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) ux) (*.f32 (/.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)) #s(literal -1/2 binary32))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (* 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) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) ux) (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux))) (*.f32 (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) #s(literal 3 binary32)) maxCos)) #s(literal 1/4 binary32))) (neg.f32 maxCos))) (neg.f32 maxCos))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (fma.f32 ux ux (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- ux 1))) (+ (* -1 (/ (+ 1 (* (- 1 ux) (- ux 1))) maxCos)) (* ux (- 1 ux)))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (fma.f32 ux ux (/.f32 (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (/.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (neg.f32 maxCos))) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) 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 (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos)))))
(*.f32 (neg.f32 maxCos) (neg.f32 (fma.f32 ux (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos) ux)))
(* -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 (+ (* -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 #s(literal -2 binary32) uy) (PI.f32) (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 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) ux) (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 maxCos ux)) (/.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 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) ux (/.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))))
(* -1 (* maxCos (* (pow ux 2) (- (/ 1 ux) 1))))
(*.f32 (neg.f32 maxCos) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux)))
(* -1 (* maxCos (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (/ 1 ux) 1)))))
(*.f32 (neg.f32 maxCos) (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux) (/.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (*.f32 ux ux)) (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))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 2 (* 2 ux))) maxCos)) (* -1 (pow ux 2))))
(*.f32 (neg.f32 (fma.f32 ux (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) (*.f32 ux ux))) (*.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 (* -1 (/ (- 2 (/ 1 maxCos)) maxCos))))
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) maxCos)) maxCos) #s(literal -1 binary32) #s(literal 1 binary32)) (*.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 #s(literal -2 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (neg.f32 maxCos))) (neg.f32 maxCos))) (*.f32 maxCos maxCos))

rewrite208.0ms (2%)

Memory
-39.7MiB live, 276.5MiB allocated; 41ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085463
0150426
1563420
24692396
08415395
Stop Event
iter limit
node limit
iter limit
Counts
27 → 534
Calls
Call 1
Inputs
(sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (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))))
(neg.f32 (PI.f32))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
(sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))
(fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))
(-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(*.f32 #s(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))))))
#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 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))
(*.f32 (cos.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(cos.f32 (*.f32 (+.f32 uy uy) (PI.f32)))
(*.f32 (+.f32 uy uy) (PI.f32))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))
(-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.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)
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
(*.f32 (PI.f32) (PI.f32))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)
Outputs
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 uy #s(literal 2 binary32)))) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 uy #s(literal 2 binary32))))) (*.f32 (*.f32 (cos.f32 (*.f32 uy #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (cos.f32 (*.f32 uy #s(literal 2 binary32))) #s(literal 1 binary32)))) (cos.f32 (fma.f32 uy #s(literal 2 binary32) (PI.f32))))
(/.f32 (fma.f32 (pow.f32 (sin.f32 (*.f32 uy #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 0 binary32) (*.f32 (pow.f32 (cos.f32 (*.f32 uy #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 uy #s(literal 2 binary32)))) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 uy #s(literal 2 binary32)))) (-.f32 (*.f32 (*.f32 (cos.f32 (*.f32 uy #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (cos.f32 (*.f32 uy #s(literal 2 binary32))) #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 uy #s(literal 2 binary32)))) (*.f32 (cos.f32 (*.f32 uy #s(literal 2 binary32))) #s(literal 1 binary32))))))
(-.f32 (*.f32 (sin.f32 (/.f32 (pow.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 2 binary32)) (-.f32 (*.f32 uy #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))) (cos.f32 (/.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)) (-.f32 (*.f32 uy #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))) (*.f32 (cos.f32 (/.f32 (pow.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 2 binary32)) (-.f32 (*.f32 uy #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))) (sin.f32 (/.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)) (-.f32 (*.f32 uy #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))))
(-.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (PI.f32)))) uy))) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (PI.f32)))) uy))))
(-.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (neg.f32 (neg.f32 (PI.f32))) (*.f32 uy #s(literal 2 binary32))))) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (neg.f32 (neg.f32 (PI.f32))) (*.f32 uy #s(literal 2 binary32))))))
(-.f32 (*.f32 (cos.f32 (*.f32 uy (neg.f32 (PI.f32)))) (cos.f32 (*.f32 uy (neg.f32 (PI.f32))))) (*.f32 (sin.f32 (*.f32 uy (neg.f32 (PI.f32)))) (sin.f32 (*.f32 uy (neg.f32 (PI.f32))))))
(-.f32 (*.f32 (cos.f32 (*.f32 (neg.f32 (PI.f32)) uy)) (cos.f32 (*.f32 (neg.f32 (PI.f32)) uy))) (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) uy)) (sin.f32 (*.f32 (neg.f32 (PI.f32)) uy))))
(-.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)))))
(-.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (sin.f32 (*.f32 (PI.f32) uy))))
(-.f32 (*.f32 (cos.f32 (*.f32 uy #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 uy #s(literal 2 binary32)))))
(-.f32 (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 uy #s(literal 2 binary32)))) (*.f32 (cos.f32 (fma.f32 uy #s(literal 2 binary32) (PI.f32))) #s(literal 1 binary32)))
(fma.f32 (sin.f32 (/.f32 (pow.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 3 binary32)) (fma.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (fma.f32 uy #s(literal 2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 2 binary32))))) (cos.f32 (/.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 8 binary32)) (fma.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (fma.f32 uy #s(literal 2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 2 binary32))))) (*.f32 (cos.f32 (/.f32 (pow.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 3 binary32)) (fma.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (fma.f32 uy #s(literal 2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 2 binary32))))) (sin.f32 (/.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 8 binary32)) (fma.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (fma.f32 uy #s(literal 2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 2 binary32)))))))
(fma.f32 #s(literal 0 binary32) (sin.f32 (*.f32 uy #s(literal 2 binary32))) (*.f32 (cos.f32 (*.f32 uy #s(literal 2 binary32))) #s(literal 1 binary32)))
(fma.f32 (sin.f32 (*.f32 uy #s(literal 2 binary32))) #s(literal 0 binary32) (*.f32 (cos.f32 (*.f32 uy #s(literal 2 binary32))) #s(literal 1 binary32)))
(fma.f32 (cos.f32 (*.f32 uy #s(literal 2 binary32))) #s(literal 1 binary32) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 uy #s(literal 2 binary32)))))
(fma.f32 #s(literal 1 binary32) (cos.f32 (*.f32 uy #s(literal 2 binary32))) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 uy #s(literal 2 binary32)))))
(sin.f32 (+.f32 (-.f32 (fma.f32 uy #s(literal 2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (PI.f32) #s(literal 2 binary32))))
(sin.f32 (fma.f32 uy #s(literal 2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(+.f32 (*.f32 (sin.f32 (/.f32 (pow.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 3 binary32)) (fma.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (fma.f32 uy #s(literal 2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 2 binary32))))) (cos.f32 (/.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 8 binary32)) (fma.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (fma.f32 uy #s(literal 2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 2 binary32)))))) (*.f32 (cos.f32 (/.f32 (pow.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 3 binary32)) (fma.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (fma.f32 uy #s(literal 2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 2 binary32))))) (sin.f32 (/.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 8 binary32)) (fma.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (fma.f32 uy #s(literal 2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 2 binary32)))))))
(+.f32 (*.f32 (cos.f32 (*.f32 uy #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 uy #s(literal 2 binary32)))))
(+.f32 (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 uy #s(literal 2 binary32)))) (*.f32 (cos.f32 (*.f32 uy #s(literal 2 binary32))) #s(literal 1 binary32)))
(cos.f32 (neg.f32 (-.f32 (fma.f32 uy #s(literal 2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(cos.f32 (-.f32 (fma.f32 uy #s(literal 2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (PI.f32) #s(literal 2 binary32))))
(cos.f32 (*.f32 uy #s(literal 2 binary32)))
(/.f32 (-.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)) (pow.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 2 binary32))) (fma.f32 uy #s(literal 2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 2 binary32)) (/.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)))) (neg.f32 (-.f32 (*.f32 uy #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 uy #s(literal 3 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 8 binary32)))) (neg.f32 (fma.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (fma.f32 uy #s(literal 2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 2 binary32)) (/.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32))) (-.f32 (*.f32 uy #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 uy #s(literal 3 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 8 binary32))) (+.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)) (-.f32 (pow.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 2 binary32)) (/.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal -2 binary32)))))
(/.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 uy #s(literal 3 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 8 binary32))) (fma.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (fma.f32 uy #s(literal 2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 2 binary32)) (-.f32 (*.f32 uy #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (/.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)) (-.f32 (*.f32 uy #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (PI.f32)))) uy))
(-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (neg.f32 (neg.f32 (PI.f32))) (*.f32 uy #s(literal 2 binary32))))
(-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 uy #s(literal 2 binary32)))
(fma.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (*.f32 (neg.f32 (PI.f32)) uy) #s(literal 2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (PI.f32))) uy (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (neg.f32 uy) (*.f32 #s(literal 2 binary32) (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 uy #s(literal 2 binary32)))
(fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 uy #s(literal 2 binary32))) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 uy #s(literal 2 binary32)))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 uy #s(literal 2 binary32))) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (*.f32 uy #s(literal 2 binary32)) (neg.f32 (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 uy (*.f32 #s(literal 2 binary32) (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 uy (*.f32 #s(literal 2 binary32) (neg.f32 (PI.f32))) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 uy #s(literal 2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 #s(literal 2 binary32) (*.f32 uy (neg.f32 (PI.f32))) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 #s(literal 2 binary32) uy (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (neg.f32 (PI.f32)) (*.f32 uy #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(+.f32 (/.f32 (pow.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 3 binary32)) (fma.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (fma.f32 uy #s(literal 2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 2 binary32)))) (/.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 8 binary32)) (fma.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (fma.f32 uy #s(literal 2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))) (pow.f32 (*.f32 uy #s(literal 2 binary32)) #s(literal 2 binary32)))))
(+.f32 (*.f32 uy #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(+.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 uy #s(literal 2 binary32)))
(*.f32 (cos.f32 (*.f32 uy #s(literal 2 binary32))) (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))))
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(-.f32 #s(literal 0 binary32) (PI.f32))
(neg.f32 (PI.f32))
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(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))
(fma.f32 (*.f32 (*.f32 maxCos ux) maxCos) ux (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos))
(fma.f32 (*.f32 (*.f32 maxCos ux) ux) maxCos (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos))
(fma.f32 (fabs.f32 (*.f32 maxCos ux)) (fabs.f32 (*.f32 maxCos ux)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos))
(fma.f32 (*.f32 (neg.f32 maxCos) ux) (*.f32 (neg.f32 maxCos) ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos))
(fma.f32 (*.f32 maxCos maxCos) (*.f32 ux ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos))
(fma.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos))
(fma.f32 (*.f32 ux ux) (*.f32 maxCos maxCos) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))
(fma.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))
(fma.f32 (*.f32 maxCos ux) (*.f32 maxCos ux) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos))
(fma.f32 maxCos (*.f32 ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))
(fma.f32 maxCos (*.f32 ux (*.f32 maxCos ux)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos))
(fma.f32 ux (*.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))
(fma.f32 ux (*.f32 maxCos (*.f32 maxCos ux)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos))
(fma.f32 #s(literal 1 binary32) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos))
(+.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))
(+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos))

eval160.0ms (1.5%)

Memory
-7.7MiB live, 129.4MiB allocated; 18ms collecting garbage
Compiler

Compiled 40 471 to 3 879 computations (90.4% saved)

prune73.0ms (0.7%)

Memory
30.4MiB live, 163.1MiB allocated; 13ms collecting garbage
Pruning

62 alts after pruning (60 fresh and 2 done)

PrunedKeptTotal
New64538683
Fresh202242
Picked325
Done000
Total66862730
Accuracy
99.9%
Counts
730 → 62
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.6%
(*.f32 (-.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (sin.f32 (*.f32 (PI.f32) uy)))) (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))))
98.6%
(*.f32 (sin.f32 (fma.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (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))))
99.0%
(*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (/.f32 (*.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 3 binary32))) ux) (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) (*.f32 (-.f32 #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 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal -2 binary32) maxCos))))))))
98.6%
(*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (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 #s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))) ux))) ux))))
98.6%
(*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
77.1%
(*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
93.7%
(*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
48.7%
(*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.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))))))
98.7%
(*.f32 (cos.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 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))))
57.1%
(*.f32 (cos.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
98.8%
(*.f32 (cos.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (/.f32 (expm1.f32 (*.f32 (log1p.f32 (-.f32 (*.f32 maxCos ux) ux)) #s(literal 4 binary32))) (-.f32 (neg.f32 (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))) #s(literal 1 binary32)))))
98.6%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (pow.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (*.f32 ux ux) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (+.f32 #s(literal 1 binary32) (/.f32 maxCos ux))))) #s(literal 2 binary32)) (pow.f32 (*.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) maxCos) ux) #s(literal 2 binary32))) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (*.f32 ux ux) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (+.f32 #s(literal 1 binary32) (/.f32 maxCos ux)))))))))
55.4%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
98.4%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 maxCos ux) #s(literal 3 binary32))) (*.f32 ux ux)) (fma.f32 (/.f32 maxCos ux) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (-.f32 #s(literal 1 binary32) (/.f32 maxCos ux))) (pow.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
98.5%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (/.f32 maxCos ux) #s(literal 2 binary32))) (*.f32 ux ux)) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (-.f32 #s(literal 1 binary32) (/.f32 maxCos ux))))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
98.7%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (+.f32 (*.f32 (/.f32 #s(literal 2 binary32) ux) (*.f32 ux ux)) (*.f32 (-.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 maxCos ux)) (*.f32 ux ux)))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
97.5%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))) #s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 maxCos ux)))))
98.7%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (+.f32 #s(literal 1 binary32) (/.f32 maxCos ux))) ux) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
85.0%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) #s(approx (* (- (+ (/ 2 ux) (- maxCos 1)) (/ maxCos ux)) (* ux ux)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
45.2%
(*.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))))))
77.0%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
98.7%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (-.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 1 binary32)) (neg.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos maxCos))) (*.f32 ux ux)))))
42.7%
(*.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 (fma.f32 (neg.f32 ux) ux (*.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 maxCos maxCos))))))
98.3%
(*.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 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
93.4%
(*.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)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
48.6%
(*.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 (* (pow (- maxCos 1) 2) ux))) ux) (*.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))))))
55.4%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
98.8%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) ux #s(literal -1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
77.0%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos) ux))))
51.6%
(*.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 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
53.4%
(*.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 (fma.f32 (neg.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) #s(literal 1 binary32))))
51.7%
(*.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) (*.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))))))))
51.7%
(*.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) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
52.9%
(*.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 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
25.0%
(*.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)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
52.3%
(*.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 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
52.0%
(*.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 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (neg.f32 ux) (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
42.0%
(*.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) #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))))))
51.5%
(*.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 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))
88.9%
(*.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 #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))))
70.0%
(*.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 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
51.4%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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))))
77.0%
#s(approx (* (sin (+ (* (neg (PI)) (* 2 uy)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
90.9%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 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)))))
52.9%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))))
50.3%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
52.9%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))
50.0%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (-.f32 ux (*.f32 maxCos ux)) (-.f32 ux (*.f32 maxCos ux))) #s(literal 1 binary32)) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
50.4%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
50.4%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 (-.f32 ux #s(literal 1 binary32)) (*.f32 maxCos ux)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
50.3%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
49.2%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) (-.f32 ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
50.7%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) (*.f32 (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)) ux)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
50.7%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) (*.f32 (neg.f32 ux) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (neg.f32 maxCos)))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
25.3%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) #s(literal -1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
49.1%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
81.3%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux))) (/.f32 maxCos ux)) (*.f32 ux ux)))))
65.4%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
81.4%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (-.f32 maxCos #s(literal 1 binary32)) (neg.f32 (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1 binary32)) maxCos) ux))))
3.6%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux)))))
75.3%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) #s(approx (sqrt (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1)) (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) #s(literal 1/2 binary32) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))))
-0.0%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) #s(approx (sqrt (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)))
Compiler

Compiled 6 453 to 3 726 computations (42.3% saved)

simplify132.0ms (1.3%)

Memory
-29.2MiB live, 120.2MiB allocated; 14ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 uy #s(literal 2 binary32))
cost-diff0
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
cost-diff0
(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(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))) #s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 maxCos ux)))))
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 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
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) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
cost-diff1
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff0
(*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)
cost-diff0
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)
cost-diff0
#s(approx (sqrt (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos))
cost-diff0
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) #s(approx (sqrt (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)))
cost-diff1
(-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal -2 binary32) maxCos))
cost-diff1
(fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))
cost-diff2
(*.f32 (-.f32 #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 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal -2 binary32) maxCos)))
cost-diff3
(sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01031138
01621105
13201105
27951093
330901093
084321029
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (/.f32 (*.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 3 binary32))) ux) (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) (*.f32 (-.f32 #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 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal -2 binary32) maxCos))))))))
(sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))
(neg.f32 (PI.f32))
(PI.f32)
(*.f32 #s(literal 2 binary32) uy)
#s(literal 2 binary32)
uy
(/.f32 (PI.f32) #s(literal 2 binary32))
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (/.f32 (*.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 3 binary32))) ux) (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) (*.f32 (-.f32 #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 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal -2 binary32) maxCos)))))))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (/.f32 (*.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 3 binary32))) ux) (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) (*.f32 (-.f32 #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 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal -2 binary32) maxCos))))))
(/.f32 (*.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 3 binary32))) ux) (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) (*.f32 (-.f32 #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 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal -2 binary32) maxCos)))))
(*.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 3 binary32))) ux)
(fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 3 binary32)))
#s(literal -8 binary32)
(pow.f32 maxCos #s(literal 3 binary32))
maxCos
#s(literal 3 binary32)
(pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 3 binary32))
(-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))
(*.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))
#s(literal 1 binary32)
ux
(fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) (*.f32 (-.f32 #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 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal -2 binary32) maxCos))))
#s(literal 4 binary32)
(*.f32 maxCos maxCos)
(*.f32 (-.f32 #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 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal -2 binary32) maxCos)))
(-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal -2 binary32) maxCos))
(*.f32 #s(literal -2 binary32) maxCos)
#s(literal -2 binary32)
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) #s(approx (sqrt (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)))
#s(approx (sqrt (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos))
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)
(*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)
(sqrt.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
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)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #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) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) 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)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) 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)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))
#s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(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 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
#s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
(*.f32 (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(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))) #s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 maxCos 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 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))) #s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 maxCos ux))))
(-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))) #s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 maxCos ux)))
#s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux)))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))
(-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux))
(+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))
(/.f32 #s(literal 2 binary32) ux)
ux
(-.f32 maxCos #s(literal 1 binary32))
maxCos
#s(literal 1 binary32)
(/.f32 maxCos ux)
(*.f32 ux ux)
#s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 maxCos ux))
(*.f32 maxCos ux)
Outputs
(*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (/.f32 (*.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 3 binary32))) ux) (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) (*.f32 (-.f32 #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 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal -2 binary32) maxCos))))))))
(*.f32 (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (/.f32 (*.f32 (fma.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal -8 binary32) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 3 binary32))) ux) (fma.f32 (*.f32 #s(literal 4 binary32) maxCos) maxCos (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux #s(literal -2 binary32))) (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux #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))))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy))
(fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (*.f32 uy (PI.f32)) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))
(neg.f32 (PI.f32))
(PI.f32)
(*.f32 #s(literal 2 binary32) uy)
(*.f32 uy #s(literal 2 binary32))
#s(literal 2 binary32)
uy
(/.f32 (PI.f32) #s(literal 2 binary32))
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (/.f32 (*.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 3 binary32))) ux) (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) (*.f32 (-.f32 #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 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal -2 binary32) maxCos)))))))
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (/.f32 (*.f32 (fma.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal -8 binary32) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 3 binary32))) ux) (fma.f32 (*.f32 #s(literal 4 binary32) maxCos) maxCos (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux #s(literal -2 binary32))) (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux #s(literal -2 binary32)))))))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (/.f32 (*.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 3 binary32))) ux) (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) (*.f32 (-.f32 #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 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal -2 binary32) maxCos))))))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (/.f32 (*.f32 (fma.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal -8 binary32) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 3 binary32))) ux) (fma.f32 (*.f32 #s(literal 4 binary32) maxCos) maxCos (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux #s(literal -2 binary32))) (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux #s(literal -2 binary32))))))
(/.f32 (*.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 3 binary32))) ux) (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) (*.f32 (-.f32 #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 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal -2 binary32) maxCos)))))
(/.f32 (*.f32 (fma.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal -8 binary32) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 3 binary32))) ux) (fma.f32 (*.f32 #s(literal 4 binary32) maxCos) maxCos (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux #s(literal -2 binary32))) (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux #s(literal -2 binary32)))))
(*.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 3 binary32))) ux)
(*.f32 (fma.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal -8 binary32) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 3 binary32))) ux)
(fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 3 binary32)))
(fma.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal -8 binary32) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 3 binary32)))
#s(literal -8 binary32)
(pow.f32 maxCos #s(literal 3 binary32))
maxCos
#s(literal 3 binary32)
(pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 3 binary32))
(-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))
(*.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))
#s(literal 1 binary32)
ux
(fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) (*.f32 (-.f32 #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 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal -2 binary32) maxCos))))
(fma.f32 (*.f32 #s(literal 4 binary32) maxCos) maxCos (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux #s(literal -2 binary32))) (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux #s(literal -2 binary32))))
#s(literal 4 binary32)
(*.f32 maxCos maxCos)
(*.f32 (-.f32 #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 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal -2 binary32) maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux #s(literal -2 binary32))) (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux #s(literal -2 binary32)))
(-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal -2 binary32) maxCos))
(fma.f32 maxCos #s(literal 2 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)))
(*.f32 #s(literal -2 binary32) maxCos)
#s(literal -2 binary32)
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) #s(approx (sqrt (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)))
#s(approx (sqrt (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos))
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)
(*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)
(sqrt.f32 #s(literal -1 binary32))
#s(literal -1 binary32)
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)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) #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)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32))))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))
(-.f32 #s(literal 1 binary32) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32))))
(*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))
#s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 (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 #s(literal 2 binary32) (PI.f32)) uy)))
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy)
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(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 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
#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(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))) #s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 maxCos ux)))))
(*.f32 (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (*.f32 ux ux) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (+.f32 (/.f32 maxCos ux) #s(literal 1 binary32))))) #s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 maxCos ux)))) (cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy)))
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(cos.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy)
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))) #s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 maxCos ux))))
(sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (*.f32 ux ux) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (+.f32 (/.f32 maxCos ux) #s(literal 1 binary32))))) #s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 maxCos ux))))
(-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))) #s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 maxCos ux)))
(-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (*.f32 ux ux) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (+.f32 (/.f32 maxCos ux) #s(literal 1 binary32))))) #s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 maxCos ux)))
#s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux)))
#s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (*.f32 ux ux) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (+.f32 (/.f32 maxCos ux) #s(literal 1 binary32)))))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))
(*.f32 (*.f32 ux ux) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (+.f32 (/.f32 maxCos ux) #s(literal 1 binary32))))
(-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux))
(-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (+.f32 (/.f32 maxCos ux) #s(literal 1 binary32)))
(+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))
(-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 1 binary32))
(/.f32 #s(literal 2 binary32) ux)
ux
(-.f32 maxCos #s(literal 1 binary32))
maxCos
#s(literal 1 binary32)
(/.f32 maxCos ux)
(*.f32 ux ux)
#s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 maxCos ux))
(*.f32 maxCos ux)

localize242.0ms (2.3%)

Memory
14.8MiB live, 385.1MiB allocated; 55ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
accuracy0.0
#s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux)))
accuracy0.0
#s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 maxCos ux))
accuracy29.98788023102775
(PI.f32)
accuracy0.0
(sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
accuracy0.0
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
accuracy0.0
#s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
accuracy29.98788023102775
(PI.f32)
accuracy0.0
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))
accuracy0.0
#s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32))
accuracy0.0
#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)))
accuracy29.98788023102775
(PI.f32)
accuracy0.0
(*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)
accuracy0.0
(sqrt.f32 #s(literal -1 binary32))
accuracy0.0
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) #s(approx (sqrt (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)))
accuracy0.0
#s(approx (sqrt (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos))
accuracy0.0
(sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32))))
accuracy0.0
(neg.f32 (PI.f32))
accuracy0.0
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (/.f32 (*.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 3 binary32))) ux) (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) (*.f32 (-.f32 #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 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal -2 binary32) maxCos))))))
accuracy29.98788023102775
(PI.f32)
Samples
184.0ms256×0invalid
Compiler

Compiled 789 to 86 computations (89.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 157.0ms
ival-mult: 64.0ms (40.8% of total)
ival-sub: 38.0ms (24.2% of total)
ival-add: 13.0ms (8.3% of total)
ival-div: 10.0ms (6.4% of total)
ival-sin: 9.0ms (5.7% of total)
ival-sqrt: 8.0ms (5.1% of total)
ival-pow: 5.0ms (3.2% of total)
ival-cosu: 4.0ms (2.6% of total)
ival-pow2: 2.0ms (1.3% of total)
ival-neg: 2.0ms (1.3% of total)
ival-pi: 1.0ms (0.6% of total)
exact: 1.0ms (0.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series37.0ms (0.4%)

Memory
36.6MiB live, 83.1MiB allocated; 4ms collecting garbage
Counts
27 → 218
Calls
Call 1
Inputs
(sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (-.f32 #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 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal -2 binary32) maxCos)))
(fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))
(-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal -2 binary32) maxCos))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) #s(approx (sqrt (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)))
#s(approx (sqrt (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos))
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)
(*.f32 (sqrt.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 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)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #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 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(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 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))) #s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 maxCos ux)))))
(PI.f32)
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (/.f32 (*.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 3 binary32))) ux) (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) (*.f32 (-.f32 #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 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal -2 binary32) maxCos))))))
(neg.f32 (PI.f32))
(sqrt.f32 #s(literal -1 binary32))
#s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))
#s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
(sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
#s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 maxCos ux))
#s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux)))
Outputs
(* 2 (- 2 (* -2 maxCos)))
(+ (* 2 (- 2 (* -2 maxCos))) (* ux (+ (* -2 (pow (- maxCos 1) 2)) (* -1 (* (- 2 (* -2 maxCos)) (pow (- maxCos 1) 2))))))
(+ (* 2 (- 2 (* -2 maxCos))) (* ux (+ (* -2 (pow (- maxCos 1) 2)) (+ (* -1 (* (- 2 (* -2 maxCos)) (pow (- maxCos 1) 2))) (* ux (pow (- maxCos 1) 4))))))
(- 2 (* -2 maxCos))
(- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* -2 maxCos))
(* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (cos (* 2 (* uy (PI)))))
(+ (* 1/2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (cos (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))))))
(+ (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 5)))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))))))))
(sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))
(+ (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* 1/2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (- 1 maxCos) (- maxCos 1)))))
(+ (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2)))) (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (- 1 maxCos) (- maxCos 1)))))))
(+ (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (- 1 maxCos) (- maxCos 1)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2)))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 5)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))))))
(* maxCos (* ux (sqrt -1)))
(* ux (sqrt -1))
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)))))))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (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)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(sqrt (* ux (- 2 (* 2 maxCos))))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2))))))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))))))
(* maxCos ux)
(* ux (+ maxCos (* maxCos (* ux (- maxCos 1)))))
(* ux (- 2 maxCos))
(* ux (- (+ 2 (* ux (- maxCos 1))) maxCos))
(* (pow ux 2) (pow (- maxCos 1) 4))
(* (pow ux 2) (+ (* -2 (/ (pow (- maxCos 1) 2) ux)) (+ (* -1 (/ (* (- 2 (* -2 maxCos)) (pow (- maxCos 1) 2)) ux)) (pow (- maxCos 1) 4))))
(* (pow ux 2) (+ (* -2 (/ (pow (- maxCos 1) 2) ux)) (+ (* -1 (/ (* (- 2 (* -2 maxCos)) (pow (- maxCos 1) 2)) ux)) (+ (* 2 (/ (- 2 (* -2 maxCos)) (pow ux 2))) (pow (- maxCos 1) 4)))))
(* -1 (* ux (pow (- maxCos 1) 2)))
(* ux (- (* 2 (/ 1 ux)) (+ (* -2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* (* ux (cos (* 2 (* uy (PI))))) (sqrt (* (- 1 maxCos) (- maxCos 1))))
(* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))))
(* ux (sqrt (* (- 1 maxCos) (- maxCos 1))))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* 1/2 (* (/ (- (+ 1 (* -1 (- maxCos 1))) maxCos) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1/8 (* (/ (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (* 1/2 (* (/ (- (+ 1 (* -1 (- maxCos 1))) maxCos) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))))))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1/8 (* (/ (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (* 1/2 (* (/ (- (+ 1 (* -1 (- maxCos 1))) maxCos) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))))))
(* 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)))))))
(* (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* -1 (* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(* (* ux (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* ux (+ (* 1/2 (* (/ (- 2 (* 2 maxCos)) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (sqrt -1) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(* ux (+ (* -1/8 (* (/ (pow (- 2 (* 2 maxCos)) 2) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (- 2 (* 2 maxCos)) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (sqrt -1) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
(* ux (+ (* -1/8 (* (/ (pow (- 2 (* 2 maxCos)) 2) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (pow (- 2 (* 2 maxCos)) 3) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (- 2 (* 2 maxCos)) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (sqrt -1) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
(* maxCos (* (pow ux 2) (- maxCos 1)))
(* (pow ux 2) (+ (* maxCos (- maxCos 1)) (/ maxCos ux)))
(* (pow ux 2) (- maxCos 1))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (/ maxCos ux))))
(* (pow ux 2) (+ (* -1 (/ (+ (* 2 (pow (- maxCos 1) 2)) (* (- 2 (* -2 maxCos)) (pow (- maxCos 1) 2))) ux)) (pow (- maxCos 1) 4)))
(* (pow ux 2) (+ (* -1 (/ (+ (* -2 (/ (- 2 (* -2 maxCos)) ux)) (+ (* 2 (pow (- maxCos 1) 2)) (* (- 2 (* -2 maxCos)) (pow (- maxCos 1) 2)))) ux)) (pow (- maxCos 1) 4)))
(* -1 (* ux (- (* -1 (/ (- 2 (* -2 maxCos)) ux)) (* -1 (pow (- maxCos 1) 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 (* 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))))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))
(* -1 (* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3)))))) ux)) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))) (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 5)))))) ux)) (* -1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(* -1 (* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* -1 (* (* ux (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))
(* -1 (* ux (+ (* 1/2 (* (/ (+ 2 (* -2 maxCos)) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (sqrt -1) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (+ 2 (* -2 maxCos)) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) (* ux (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3)))))) ux)) (* (sqrt -1) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))) (* 1/16 (* (/ (pow (+ 2 (* -2 maxCos)) 3) (* ux (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 5)))))) ux)) (* -1/2 (* (/ (+ 2 (* -2 maxCos)) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (sqrt -1) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* maxCos (* (pow ux 2) (+ 1 (* -1 maxCos)))))
(* (pow ux 2) (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (/ maxCos ux)))
(* -1 (* (pow ux 2) (+ 1 (* -1 maxCos))))
(* (pow ux 2) (- (+ (* -1 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (* -1 maxCos))))
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -2 (* uy (* (PI) (cos (* 1/2 (PI)))))))
(+ (sin (* 1/2 (PI))) (* uy (+ (* -2 (* uy (* (pow (PI) 2) (sin (* 1/2 (PI)))))) (* -2 (* (PI) (cos (* 1/2 (PI))))))))
(+ (sin (* 1/2 (PI))) (* uy (+ (* -2 (* (PI) (cos (* 1/2 (PI))))) (* uy (+ (* -2 (* (pow (PI) 2) (sin (* 1/2 (PI))))) (* 4/3 (* uy (* (pow (PI) 3) (cos (* 1/2 (PI)))))))))))
(* 1/2 (PI))
(+ (* -2 (* uy (PI))) (* 1/2 (PI)))
(sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))
(+ (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))))
(+ (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))))))
(+ (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* 2/3 (* (pow (PI) 4) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos 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)))))))
(sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))
(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))
(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))))
(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))))))
(* 2 (* uy (PI)))
(* 2 uy)
(sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))
(* -2 (* uy (PI)))
(* uy (+ (* -2 (PI)) (* 1/2 (/ (PI) uy))))
(* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(cos (* 2 (* uy (PI))))
(* -2 (* (pow uy 2) (pow (PI) 2)))
(* (pow uy 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow uy 2))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(* -1 (* uy (+ (* -1/2 (/ (PI) uy)) (* 2 (PI)))))
(pow (- 2 ux) 2)
(+ (* maxCos (+ (* 2 (* ux (- 2 ux))) (* (- 2 ux) (- 2 (* -2 ux))))) (pow (- 2 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 2 ux))) (+ (* maxCos (+ (* -2 (* ux (- 2 ux))) (* 2 (* ux (- 2 (* -2 ux)))))) (* (- 2 ux) (- 2 (* -2 ux)))))) (pow (- 2 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 2 ux))) (+ (* maxCos (+ (* -2 (* ux (- 2 ux))) (+ (* 2 (* ux (- 2 (* -2 ux)))) (* maxCos (+ (* -2 (pow ux 2)) (* -1 (* ux (- 2 (* -2 ux))))))))) (* (- 2 ux) (- 2 (* -2 ux)))))) (pow (- 2 ux) 2))
(- 2 ux)
(- (+ 2 (* maxCos (- 2 (* -2 ux)))) ux)
(- (+ 2 (* maxCos (- (+ 2 (* -1 (* maxCos ux))) (* -2 ux)))) ux)
(* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1)))))
(+ (* 1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(+ (* maxCos (+ (* 1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1)))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(+ (* maxCos (+ (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* maxCos (+ (* -1/4 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))))) (sqrt (/ 1 (pow (+ 1 (* (- 1 ux) (- ux 1))) 3))))) (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(sqrt (+ 1 (* (- 1 ux) (- ux 1))))
(+ (sqrt (+ 1 (* (- 1 ux) (- ux 1)))) (* 1/2 (* (* maxCos (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))
(+ (sqrt (+ 1 (* (- 1 ux) (- ux 1)))) (* maxCos (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (* 1/2 (* (* maxCos (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))))
(+ (sqrt (+ 1 (* (- 1 ux) (- ux 1)))) (* maxCos (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (* maxCos (+ (* -1/4 (* (* maxCos (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1)))))))) (sqrt (/ 1 (pow (+ 1 (* (- 1 ux) (- ux 1))) 3))))) (* 1/2 (* (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1)))))))))))))
(- 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)))))
(- 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))
(* ux (- (/ 1 ux) 1))
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(sqrt (- 1 (pow (- 1 ux) 2)))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (* -1 (* (* maxCos (* ux (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (* maxCos (+ (* -1 (* (* ux (- 1 ux)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (* maxCos (+ (* -1 (* (* ux (- 1 ux)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (+ (/ (* (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 (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))))
(* maxCos (* ux (- 1 ux)))
(* maxCos (+ (* maxCos (pow ux 2)) (* ux (- 1 ux))))
(- (+ 1 (* -1 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(* (pow maxCos 4) (pow ux 2))
(* (pow maxCos 4) (+ (* -2 (/ (pow ux 2) maxCos)) (+ (* -1 (/ (* ux (- 2 (* -2 ux))) maxCos)) (pow ux 2))))
(* (pow maxCos 4) (+ (* -2 (/ (* ux (- 2 ux)) (pow maxCos 2))) (+ (* -2 (/ (pow ux 2) maxCos)) (+ (* -1 (/ (* ux (- 2 (* -2 ux))) maxCos)) (+ (* 2 (/ (* ux (- 2 (* -2 ux))) (pow maxCos 2))) (pow ux 2))))))
(* (pow maxCos 4) (+ (* -2 (/ (* ux (- 2 ux)) (pow maxCos 2))) (+ (* -2 (/ (pow ux 2) maxCos)) (+ (* -1 (/ (* ux (- 2 (* -2 ux))) maxCos)) (+ (* 2 (/ (* ux (- 2 ux)) (pow maxCos 3))) (+ (* 2 (/ (* ux (- 2 (* -2 ux))) (pow maxCos 2))) (+ (/ (* (- 2 ux) (- 2 (* -2 ux))) (pow maxCos 3)) (pow ux 2))))))))
(* -1 (* (pow maxCos 2) ux))
(* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ ux (* -2 (/ ux maxCos)))))
(* (pow maxCos 2) (- (+ (* 2 (/ 1 maxCos)) (/ 2 (pow maxCos 2))) (+ ux (+ (* -2 (/ ux maxCos)) (/ ux (pow maxCos 2))))))
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1/4 (/ (* (cos (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))))
(* maxCos (+ (* 1/2 (/ (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (* maxCos (* ux (sqrt -1))))) (* ux (sqrt -1))))
(* maxCos (+ (* 1/2 (/ (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1)))))
(* maxCos (+ (* -1/4 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1))))))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* 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 (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (* ux (sqrt -1))))
(* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1)))))
(* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (- 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 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1))))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))
(* -1 (* maxCos (* ux (- 1 ux))))
(* maxCos (- (/ 1 maxCos) (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos))))
(* (pow maxCos 4) (+ (* -1 (/ (+ (* 2 (pow ux 2)) (* ux (+ 2 (* 2 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* ux (- 2 ux))) (* 2 (* ux (+ 2 (* 2 ux))))) maxCos)) (+ (* 2 (pow ux 2)) (* ux (+ 2 (* 2 ux))))) maxCos)) (pow ux 2)))
(* (pow maxCos 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* ux (- 2 ux))) (+ (* -1 (/ (+ (* -2 (* ux (- 2 ux))) (* -1 (* (+ 2 (* 2 ux)) (- 2 ux)))) maxCos)) (* 2 (* ux (+ 2 (* 2 ux)))))) maxCos)) (+ (* 2 (pow ux 2)) (* ux (+ 2 (* 2 ux))))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (+ (* 2 (/ ux maxCos)) (* 2 (/ 1 maxCos))) ux))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 2 ux) maxCos)) (+ 2 (* 2 ux))) maxCos)) ux))
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (cos (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (* ux (sqrt -1))))
(* -1 (* maxCos (+ (* -1/2 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (* maxCos (* ux (sqrt -1))))) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (* ux (sqrt -1))))) maxCos)) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (* ux (sqrt -1))))) maxCos)) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -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 (/ (* ux (- (/ 1 ux) 1)) maxCos)))))
(* -1 (* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (- (+ (* -1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* maxCos (* ux (sqrt -1))))) (/ 1 (sqrt -1))) (/ ux (sqrt -1))) maxCos)) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (- 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 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* ux (sqrt -1))))) maxCos)) (/ 1 (sqrt -1))) (/ ux (sqrt -1))) maxCos)) (* ux (sqrt -1)))))
(* -1 (* maxCos (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -1 (* ux (- 1 ux))))))
Calls

9 calls:

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

simplify243.0ms (2.4%)

Memory
-8.2MiB live, 231.0MiB allocated; 33ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012578923
147078711
089458227
Stop Event
iter limit
node limit
Counts
218 → 218
Calls
Call 1
Inputs
(* 2 (- 2 (* -2 maxCos)))
(+ (* 2 (- 2 (* -2 maxCos))) (* ux (+ (* -2 (pow (- maxCos 1) 2)) (* -1 (* (- 2 (* -2 maxCos)) (pow (- maxCos 1) 2))))))
(+ (* 2 (- 2 (* -2 maxCos))) (* ux (+ (* -2 (pow (- maxCos 1) 2)) (+ (* -1 (* (- 2 (* -2 maxCos)) (pow (- maxCos 1) 2))) (* ux (pow (- maxCos 1) 4))))))
(- 2 (* -2 maxCos))
(- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* -2 maxCos))
(* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (cos (* 2 (* uy (PI)))))
(+ (* 1/2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (cos (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))))))
(+ (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 5)))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))))))))
(sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))
(+ (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* 1/2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (- 1 maxCos) (- maxCos 1)))))
(+ (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2)))) (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (- 1 maxCos) (- maxCos 1)))))))
(+ (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (- 1 maxCos) (- maxCos 1)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2)))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 5)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))))))
(* maxCos (* ux (sqrt -1)))
(* ux (sqrt -1))
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)))))))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (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)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(sqrt (* ux (- 2 (* 2 maxCos))))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2))))))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))))))
(* maxCos ux)
(* ux (+ maxCos (* maxCos (* ux (- maxCos 1)))))
(* ux (- 2 maxCos))
(* ux (- (+ 2 (* ux (- maxCos 1))) maxCos))
(* (pow ux 2) (pow (- maxCos 1) 4))
(* (pow ux 2) (+ (* -2 (/ (pow (- maxCos 1) 2) ux)) (+ (* -1 (/ (* (- 2 (* -2 maxCos)) (pow (- maxCos 1) 2)) ux)) (pow (- maxCos 1) 4))))
(* (pow ux 2) (+ (* -2 (/ (pow (- maxCos 1) 2) ux)) (+ (* -1 (/ (* (- 2 (* -2 maxCos)) (pow (- maxCos 1) 2)) ux)) (+ (* 2 (/ (- 2 (* -2 maxCos)) (pow ux 2))) (pow (- maxCos 1) 4)))))
(* -1 (* ux (pow (- maxCos 1) 2)))
(* ux (- (* 2 (/ 1 ux)) (+ (* -2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* (* ux (cos (* 2 (* uy (PI))))) (sqrt (* (- 1 maxCos) (- maxCos 1))))
(* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))))
(* ux (sqrt (* (- 1 maxCos) (- maxCos 1))))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* 1/2 (* (/ (- (+ 1 (* -1 (- maxCos 1))) maxCos) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1/8 (* (/ (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (* 1/2 (* (/ (- (+ 1 (* -1 (- maxCos 1))) maxCos) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))))))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1/8 (* (/ (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (* 1/2 (* (/ (- (+ 1 (* -1 (- maxCos 1))) maxCos) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))))))
(* 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)))))))
(* (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* -1 (* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(* (* ux (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* ux (+ (* 1/2 (* (/ (- 2 (* 2 maxCos)) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (sqrt -1) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(* ux (+ (* -1/8 (* (/ (pow (- 2 (* 2 maxCos)) 2) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (- 2 (* 2 maxCos)) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (sqrt -1) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
(* ux (+ (* -1/8 (* (/ (pow (- 2 (* 2 maxCos)) 2) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (pow (- 2 (* 2 maxCos)) 3) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (- 2 (* 2 maxCos)) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (sqrt -1) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
(* maxCos (* (pow ux 2) (- maxCos 1)))
(* (pow ux 2) (+ (* maxCos (- maxCos 1)) (/ maxCos ux)))
(* (pow ux 2) (- maxCos 1))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (/ maxCos ux))))
(* (pow ux 2) (+ (* -1 (/ (+ (* 2 (pow (- maxCos 1) 2)) (* (- 2 (* -2 maxCos)) (pow (- maxCos 1) 2))) ux)) (pow (- maxCos 1) 4)))
(* (pow ux 2) (+ (* -1 (/ (+ (* -2 (/ (- 2 (* -2 maxCos)) ux)) (+ (* 2 (pow (- maxCos 1) 2)) (* (- 2 (* -2 maxCos)) (pow (- maxCos 1) 2)))) ux)) (pow (- maxCos 1) 4)))
(* -1 (* ux (- (* -1 (/ (- 2 (* -2 maxCos)) ux)) (* -1 (pow (- maxCos 1) 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 (* 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))))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))
(* -1 (* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3)))))) ux)) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))) (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 5)))))) ux)) (* -1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(* -1 (* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* -1 (* (* ux (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))
(* -1 (* ux (+ (* 1/2 (* (/ (+ 2 (* -2 maxCos)) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (sqrt -1) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (+ 2 (* -2 maxCos)) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) (* ux (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3)))))) ux)) (* (sqrt -1) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))) (* 1/16 (* (/ (pow (+ 2 (* -2 maxCos)) 3) (* ux (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 5)))))) ux)) (* -1/2 (* (/ (+ 2 (* -2 maxCos)) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (sqrt -1) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* maxCos (* (pow ux 2) (+ 1 (* -1 maxCos)))))
(* (pow ux 2) (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (/ maxCos ux)))
(* -1 (* (pow ux 2) (+ 1 (* -1 maxCos))))
(* (pow ux 2) (- (+ (* -1 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (* -1 maxCos))))
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -2 (* uy (* (PI) (cos (* 1/2 (PI)))))))
(+ (sin (* 1/2 (PI))) (* uy (+ (* -2 (* uy (* (pow (PI) 2) (sin (* 1/2 (PI)))))) (* -2 (* (PI) (cos (* 1/2 (PI))))))))
(+ (sin (* 1/2 (PI))) (* uy (+ (* -2 (* (PI) (cos (* 1/2 (PI))))) (* uy (+ (* -2 (* (pow (PI) 2) (sin (* 1/2 (PI))))) (* 4/3 (* uy (* (pow (PI) 3) (cos (* 1/2 (PI)))))))))))
(* 1/2 (PI))
(+ (* -2 (* uy (PI))) (* 1/2 (PI)))
(sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))
(+ (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))))
(+ (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))))))
(+ (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* 2/3 (* (pow (PI) 4) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos 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)))))))
(sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))
(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))
(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))))
(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))))))
(* 2 (* uy (PI)))
(* 2 uy)
(sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))
(* -2 (* uy (PI)))
(* uy (+ (* -2 (PI)) (* 1/2 (/ (PI) uy))))
(* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(cos (* 2 (* uy (PI))))
(* -2 (* (pow uy 2) (pow (PI) 2)))
(* (pow uy 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow uy 2))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(* -1 (* uy (+ (* -1/2 (/ (PI) uy)) (* 2 (PI)))))
(pow (- 2 ux) 2)
(+ (* maxCos (+ (* 2 (* ux (- 2 ux))) (* (- 2 ux) (- 2 (* -2 ux))))) (pow (- 2 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 2 ux))) (+ (* maxCos (+ (* -2 (* ux (- 2 ux))) (* 2 (* ux (- 2 (* -2 ux)))))) (* (- 2 ux) (- 2 (* -2 ux)))))) (pow (- 2 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 2 ux))) (+ (* maxCos (+ (* -2 (* ux (- 2 ux))) (+ (* 2 (* ux (- 2 (* -2 ux)))) (* maxCos (+ (* -2 (pow ux 2)) (* -1 (* ux (- 2 (* -2 ux))))))))) (* (- 2 ux) (- 2 (* -2 ux)))))) (pow (- 2 ux) 2))
(- 2 ux)
(- (+ 2 (* maxCos (- 2 (* -2 ux)))) ux)
(- (+ 2 (* maxCos (- (+ 2 (* -1 (* maxCos ux))) (* -2 ux)))) ux)
(* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1)))))
(+ (* 1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(+ (* maxCos (+ (* 1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1)))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(+ (* maxCos (+ (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* maxCos (+ (* -1/4 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))))) (sqrt (/ 1 (pow (+ 1 (* (- 1 ux) (- ux 1))) 3))))) (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(sqrt (+ 1 (* (- 1 ux) (- ux 1))))
(+ (sqrt (+ 1 (* (- 1 ux) (- ux 1)))) (* 1/2 (* (* maxCos (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))
(+ (sqrt (+ 1 (* (- 1 ux) (- ux 1)))) (* maxCos (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (* 1/2 (* (* maxCos (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))))
(+ (sqrt (+ 1 (* (- 1 ux) (- ux 1)))) (* maxCos (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (* maxCos (+ (* -1/4 (* (* maxCos (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1)))))))) (sqrt (/ 1 (pow (+ 1 (* (- 1 ux) (- ux 1))) 3))))) (* 1/2 (* (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1)))))))))))))
(- 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)))))
(- 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))
(* ux (- (/ 1 ux) 1))
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(sqrt (- 1 (pow (- 1 ux) 2)))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (* -1 (* (* maxCos (* ux (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (* maxCos (+ (* -1 (* (* ux (- 1 ux)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (* maxCos (+ (* -1 (* (* ux (- 1 ux)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (+ (/ (* (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 (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))))
(* maxCos (* ux (- 1 ux)))
(* maxCos (+ (* maxCos (pow ux 2)) (* ux (- 1 ux))))
(- (+ 1 (* -1 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(* (pow maxCos 4) (pow ux 2))
(* (pow maxCos 4) (+ (* -2 (/ (pow ux 2) maxCos)) (+ (* -1 (/ (* ux (- 2 (* -2 ux))) maxCos)) (pow ux 2))))
(* (pow maxCos 4) (+ (* -2 (/ (* ux (- 2 ux)) (pow maxCos 2))) (+ (* -2 (/ (pow ux 2) maxCos)) (+ (* -1 (/ (* ux (- 2 (* -2 ux))) maxCos)) (+ (* 2 (/ (* ux (- 2 (* -2 ux))) (pow maxCos 2))) (pow ux 2))))))
(* (pow maxCos 4) (+ (* -2 (/ (* ux (- 2 ux)) (pow maxCos 2))) (+ (* -2 (/ (pow ux 2) maxCos)) (+ (* -1 (/ (* ux (- 2 (* -2 ux))) maxCos)) (+ (* 2 (/ (* ux (- 2 ux)) (pow maxCos 3))) (+ (* 2 (/ (* ux (- 2 (* -2 ux))) (pow maxCos 2))) (+ (/ (* (- 2 ux) (- 2 (* -2 ux))) (pow maxCos 3)) (pow ux 2))))))))
(* -1 (* (pow maxCos 2) ux))
(* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ ux (* -2 (/ ux maxCos)))))
(* (pow maxCos 2) (- (+ (* 2 (/ 1 maxCos)) (/ 2 (pow maxCos 2))) (+ ux (+ (* -2 (/ ux maxCos)) (/ ux (pow maxCos 2))))))
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1/4 (/ (* (cos (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))))
(* maxCos (+ (* 1/2 (/ (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (* maxCos (* ux (sqrt -1))))) (* ux (sqrt -1))))
(* maxCos (+ (* 1/2 (/ (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1)))))
(* maxCos (+ (* -1/4 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1))))))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* 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 (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (* ux (sqrt -1))))
(* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1)))))
(* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (- 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 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1))))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))
(* -1 (* maxCos (* ux (- 1 ux))))
(* maxCos (- (/ 1 maxCos) (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos))))
(* (pow maxCos 4) (+ (* -1 (/ (+ (* 2 (pow ux 2)) (* ux (+ 2 (* 2 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* ux (- 2 ux))) (* 2 (* ux (+ 2 (* 2 ux))))) maxCos)) (+ (* 2 (pow ux 2)) (* ux (+ 2 (* 2 ux))))) maxCos)) (pow ux 2)))
(* (pow maxCos 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* ux (- 2 ux))) (+ (* -1 (/ (+ (* -2 (* ux (- 2 ux))) (* -1 (* (+ 2 (* 2 ux)) (- 2 ux)))) maxCos)) (* 2 (* ux (+ 2 (* 2 ux)))))) maxCos)) (+ (* 2 (pow ux 2)) (* ux (+ 2 (* 2 ux))))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (+ (* 2 (/ ux maxCos)) (* 2 (/ 1 maxCos))) ux))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 2 ux) maxCos)) (+ 2 (* 2 ux))) maxCos)) ux))
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (cos (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (* ux (sqrt -1))))
(* -1 (* maxCos (+ (* -1/2 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (* maxCos (* ux (sqrt -1))))) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (* ux (sqrt -1))))) maxCos)) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (* ux (sqrt -1))))) maxCos)) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -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 (/ (* ux (- (/ 1 ux) 1)) maxCos)))))
(* -1 (* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (- (+ (* -1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* maxCos (* ux (sqrt -1))))) (/ 1 (sqrt -1))) (/ ux (sqrt -1))) maxCos)) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (- 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 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* ux (sqrt -1))))) maxCos)) (/ 1 (sqrt -1))) (/ ux (sqrt -1))) maxCos)) (* ux (sqrt -1)))))
(* -1 (* maxCos (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -1 (* ux (- 1 ux))))))
Outputs
(* 2 (- 2 (* -2 maxCos)))
(*.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos)) #s(literal 2 binary32))
(+ (* 2 (- 2 (* -2 maxCos))) (* ux (+ (* -2 (pow (- maxCos 1) 2)) (* -1 (* (- 2 (* -2 maxCos)) (pow (- maxCos 1) 2))))))
(fma.f32 (fma.f32 (neg.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -2 binary32))) ux (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos)) #s(literal 2 binary32)))
(+ (* 2 (- 2 (* -2 maxCos))) (* ux (+ (* -2 (pow (- maxCos 1) 2)) (+ (* -1 (* (- 2 (* -2 maxCos)) (pow (- maxCos 1) 2))) (* ux (pow (- maxCos 1) 4))))))
(fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -2 binary32) (fma.f32 (neg.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) ux))) ux (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos)) #s(literal 2 binary32)))
(- 2 (* -2 maxCos))
(-.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos))
(- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* -2 maxCos))
(-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal -2 binary32) maxCos))
(* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (cos (* 2 (* uy (PI)))))
(*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))
(+ (* 1/2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (cos (* 2 (* uy (PI))))))
(fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
(+ (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))) (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) #s(literal 3 binary32))))) (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 ux ux) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
(+ (* (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 5)))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) #s(literal 5 binary32)) ux)))) (*.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (*.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux) #s(literal 3 binary32))))) (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 ux ux) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))) (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32))))) (*.f32 ux ux) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
(sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))
(sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))
(+ (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* 1/2 (* (sqrt (/ (pow ux 3) (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (- 1 maxCos) (- maxCos 1)))))
(fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) #s(literal 1/2 binary32) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))
(+ (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2)))) (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (- 1 maxCos) (- maxCos 1)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) #s(literal 3 binary32))))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 ux ux) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))
(+ (sqrt (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (- (+ 1 (* -1 (- maxCos 1))) maxCos)))) (* (- 1 maxCos) (- maxCos 1)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2)))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 5)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) #s(literal 5 binary32)) ux)))) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32)) (*.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux) #s(literal 3 binary32))))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 ux ux) (*.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))))) (*.f32 ux ux) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))
(* maxCos (* ux (sqrt -1)))
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)
(* ux (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) 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 (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 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (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))))) #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 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 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 (fma.f32 (*.f32 #s(literal -1/8 binary32) (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 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (*.f32 (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)) ux)))) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))))) (*.f32 ux ux) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #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 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(fma.f32 (*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (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)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (*.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) (*.f32 (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (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)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #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 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (*.f32 (*.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)) ux)))) (*.f32 (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 3 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))))) (*.f32 ux ux) (*.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))))) (*.f32 ux ux) (*.f32 (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (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 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux)
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux)
(sqrt (* ux (- 2 (* 2 maxCos))))
(sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))
(fma.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (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) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2))))))
(fma.f32 (fma.f32 (*.f32 (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #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 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #s(literal -1/2 binary32))) (*.f32 ux ux) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (*.f32 (fma.f32 (*.f32 (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 3 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)) ux)))) #s(literal -1/16 binary32) (*.f32 (*.f32 (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 2 binary32)) (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))))) #s(literal -1/8 binary32))) (*.f32 ux ux))) (*.f32 ux ux) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(* maxCos ux)
(*.f32 ux maxCos)
(* ux (+ maxCos (* maxCos (* ux (- maxCos 1)))))
(*.f32 (fma.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) maxCos maxCos) ux)
(* ux (- 2 maxCos))
(*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)
(* ux (- (+ 2 (* ux (- maxCos 1))) maxCos))
(*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)
(* (pow ux 2) (pow (- maxCos 1) 4))
(*.f32 (*.f32 ux ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)))
(* (pow ux 2) (+ (* -2 (/ (pow (- maxCos 1) 2) ux)) (+ (* -1 (/ (* (- 2 (* -2 maxCos)) (pow (- maxCos 1) 2)) ux)) (pow (- maxCos 1) 4))))
(*.f32 (+.f32 (/.f32 (fma.f32 (neg.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -2 binary32))) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (*.f32 ux ux))
(* (pow ux 2) (+ (* -2 (/ (pow (- maxCos 1) 2) ux)) (+ (* -1 (/ (* (- 2 (* -2 maxCos)) (pow (- maxCos 1) 2)) ux)) (+ (* 2 (/ (- 2 (* -2 maxCos)) (pow ux 2))) (pow (- maxCos 1) 4)))))
(*.f32 (+.f32 (/.f32 (fma.f32 (neg.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -2 binary32))) ux) (fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos)) ux) (/.f32 #s(literal 2 binary32) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 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 (/ 1 ux)) (+ (* -2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(*.f32 (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux)
(* (* ux (cos (* 2 (* uy (PI))))) (sqrt (* (- 1 maxCos) (- maxCos 1))))
(*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) ux))
(* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))) ux)
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (pow.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (*.f32 ux ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))))) ux)
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3)) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* -1 (- maxCos 1))) maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (*.f32 (pow.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (*.f32 ux ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32)))) (fma.f32 (*.f32 #s(literal 1/16 binary32) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (pow.f32 (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux) #s(literal 3 binary32)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))))) ux)
(* ux (sqrt (* (- 1 maxCos) (- maxCos 1))))
(*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) ux)
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* 1/2 (* (/ (- (+ 1 (* -1 (- maxCos 1))) maxCos) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))))) ux)
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1/8 (* (/ (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (* 1/2 (* (/ (- (+ 1 (* -1 (- maxCos 1))) maxCos) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))))))
(*.f32 (+.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (pow.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) #s(literal 2 binary32)) (*.f32 ux ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32)))))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))))) ux)
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1/8 (* (/ (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 2) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (pow (- (+ 1 (* -1 (- maxCos 1))) maxCos) 3) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (* 1/2 (* (/ (- (+ 1 (* -1 (- maxCos 1))) maxCos) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))))))
(*.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (pow.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) #s(literal 2 binary32)) (*.f32 ux ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32)))) (fma.f32 (*.f32 #s(literal 1/16 binary32) (pow.f32 (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux) #s(literal 3 binary32))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32)))) (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (-.f32 maxCos #s(literal 1 binary32))))))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))))) 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 (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) 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 (*.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 (/.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) 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 maxCos #s(literal 1 binary32)) #s(literal 5 binary32)))) #s(literal 1/16 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)
(* (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(*.f32 (sqrt.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.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))
(* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)))) (*.f32 (sqrt.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))))) ux)
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
(*.f32 (fma.f32 (*.f32 (/.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)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 3 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) #s(literal -1/8 binary32) (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.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 (sqrt.f32 #s(literal -1 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)))) (*.f32 (sqrt.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))))) ux)
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
(*.f32 (fma.f32 (*.f32 (/.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)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 3 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) #s(literal -1/8 binary32) (fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 5 binary32)))) (*.f32 (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)))) #s(literal 1/16 binary32) (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.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 (sqrt.f32 #s(literal -1 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)))) (*.f32 (sqrt.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 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))
(* -1 (* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(*.f32 (*.f32 (neg.f32 ux) ux) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos)))) (*.f32 ux ux))
(* (* ux (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(*.f32 (sqrt.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))
(* ux (+ (* 1/2 (* (/ (- 2 (* 2 maxCos)) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (sqrt -1) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(*.f32 (fma.f32 (*.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos))) (sqrt.f32 #s(literal -1 binary32)))) ux)
(* ux (+ (* -1/8 (* (/ (pow (- 2 (* 2 maxCos)) 2) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (- 2 (* 2 maxCos)) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (sqrt -1) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux ux)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 3 binary32)))) (fma.f32 (*.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos))) (sqrt.f32 #s(literal -1 binary32))))) ux)
(* ux (+ (* -1/8 (* (/ (pow (- 2 (* 2 maxCos)) 2) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (pow (- 2 (* 2 maxCos)) 3) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (- 2 (* 2 maxCos)) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (sqrt -1) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/8 binary32) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (*.f32 ux ux)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 3 binary32)))) (fma.f32 (*.f32 #s(literal 1/16 binary32) (/.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 5 binary32)))) (fma.f32 (*.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos))) (sqrt.f32 #s(literal -1 binary32)))))) ux)
(* maxCos (* (pow ux 2) (- maxCos 1)))
(*.f32 (*.f32 (*.f32 ux ux) maxCos) (-.f32 maxCos #s(literal 1 binary32)))
(* (pow ux 2) (+ (* maxCos (- maxCos 1)) (/ maxCos ux)))
(*.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (/.f32 maxCos ux)) (*.f32 ux ux))
(* (pow ux 2) (- maxCos 1))
(*.f32 (*.f32 ux ux) (-.f32 maxCos #s(literal 1 binary32)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (/ maxCos ux))))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) (/.f32 maxCos ux))) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (+ (* 2 (pow (- maxCos 1) 2)) (* (- 2 (* -2 maxCos)) (pow (- maxCos 1) 2))) ux)) (pow (- maxCos 1) 4)))
(*.f32 (+.f32 (/.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (+.f32 #s(literal 2 binary32) (-.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos)))) (neg.f32 ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (+ (* -2 (/ (- 2 (* -2 maxCos)) ux)) (+ (* 2 (pow (- maxCos 1) 2)) (* (- 2 (* -2 maxCos)) (pow (- maxCos 1) 2)))) ux)) (pow (- maxCos 1) 4)))
(*.f32 (+.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos)) ux) #s(literal -2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (+.f32 #s(literal 2 binary32) (-.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos))))) (neg.f32 ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (*.f32 ux ux))
(* -1 (* ux (- (* -1 (/ (- 2 (* -2 maxCos)) ux)) (* -1 (pow (- maxCos 1) 2)))))
(*.f32 (neg.f32 ux) (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos)) (neg.f32 ux)) (neg.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(*.f32 (neg.f32 ux) (*.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 (+ (* 1/2 (/ (* (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)))))))
(*.f32 (neg.f32 ux) (fma.f32 (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 #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)))) ux) (*.f32 (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 ux))))
(* -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)))))))
(*.f32 (neg.f32 ux) (fma.f32 (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (/.f32 (fma.f32 (*.f32 (/.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)) ux)) (/.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)))) (pow.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal 5 binary32))) (*.f32 (/.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)))) (pow.f32 (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) #s(literal 3 binary32))) #s(literal -1/8 binary32))) (neg.f32 ux))) (neg.f32 ux))))
(* -1 (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))
(*.f32 (neg.f32 ux) (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))))
(* -1 (* ux (+ (* 1/2 (/ (+ 2 (* -2 maxCos)) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
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(* -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))))))
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(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3)))))) ux)) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
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(* -1 (* (* ux (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))
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(* -1 (* ux (+ (* 1/2 (* (/ (+ 2 (* -2 maxCos)) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (sqrt -1) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
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(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (+ 2 (* -2 maxCos)) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) (* ux (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3)))))) ux)) (* (sqrt -1) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
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(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))) (* 1/16 (* (/ (pow (+ 2 (* -2 maxCos)) 3) (* ux (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 5)))))) ux)) (* -1/2 (* (/ (+ 2 (* -2 maxCos)) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (sqrt -1) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
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(sin (* 1/2 (PI)))
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(+ (sin (* 1/2 (PI))) (* -2 (* uy (* (PI) (cos (* 1/2 (PI)))))))
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(* 1/2 (PI))
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(+ (* -2 (* uy (PI))) (* 1/2 (PI)))
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(sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux))))
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(fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (sqrt.f32 (fma.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 1 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (sqrt.f32 (fma.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 1 binary32))))) (*.f32 uy uy) (sqrt.f32 (fma.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 1 binary32))))
(+ (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))) (* 2/3 (* (pow (PI) 4) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) (sqrt.f32 (fma.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 1 binary32))) (*.f32 (*.f32 (*.f32 #s(literal -4/45 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (sqrt.f32 (fma.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 1 binary32))))) (*.f32 uy uy) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (sqrt.f32 (fma.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 1 binary32))))) (*.f32 uy uy) (sqrt.f32 (fma.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 1 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))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))
(fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (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))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))
(fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 2/3 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 4 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 (PI.f32) (PI.f32)) #s(literal -2 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 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 (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 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 #s(literal -4/45 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 6 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 uy uy) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 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 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)))))
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))
(fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.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 #s(literal 2/3 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.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 (fma.f32 (*.f32 #s(literal -4/45 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))) (*.f32 uy uy) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 uy uy) #s(literal 1 binary32))
(sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))
(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))
(fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))
(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))))
(fma.f32 (fma.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 uy uy))) #s(literal 2/3 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))) (*.f32 uy uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))
(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (pow.f32 (PI.f32) #s(literal 4 binary32))) #s(literal 2/3 binary32) (*.f32 (*.f32 (*.f32 #s(literal -4/45 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))) (*.f32 uy uy) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))) (*.f32 uy uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))
(* 2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(* 2 uy)
(*.f32 #s(literal 2 binary32) uy)
(sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))
(sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(* -2 (* uy (PI)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))
(* uy (+ (* -2 (PI)) (* 1/2 (/ (PI) uy))))
(*.f32 (fma.f32 (/.f32 (PI.f32) uy) #s(literal 1/2 binary32) (*.f32 #s(literal -2 binary32) (PI.f32))) uy)
(* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- ux (+ 1 (* maxCos ux))) (- (+ 1 (* maxCos ux)) ux)))))
(*.f32 (sqrt.f32 (fma.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 1 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))
(cos (* 2 (* uy (PI))))
(cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))
(* -2 (* (pow uy 2) (pow (PI) 2)))
(*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)))
(* (pow uy 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow uy 2))))
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 uy uy))) (*.f32 uy uy))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))
(* -1 (* uy (+ (* -1/2 (/ (PI) uy)) (* 2 (PI)))))
(*.f32 (neg.f32 uy) (fma.f32 (/.f32 (PI.f32) uy) #s(literal -1/2 binary32) (*.f32 (PI.f32) #s(literal 2 binary32))))
(pow (- 2 ux) 2)
(pow.f32 (-.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32))
(+ (* maxCos (+ (* 2 (* ux (- 2 ux))) (* (- 2 ux) (- 2 (* -2 ux))))) (pow (- 2 ux) 2))
(fma.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal 2 binary32)) (-.f32 #s(literal 2 binary32) ux) (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) #s(literal 2 binary32))) maxCos (pow.f32 (-.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (+ (* 2 (* ux (- 2 ux))) (+ (* maxCos (+ (* -2 (* ux (- 2 ux))) (* 2 (* ux (- 2 (* -2 ux)))))) (* (- 2 ux) (- 2 (* -2 ux)))))) (pow (- 2 ux) 2))
(fma.f32 (fma.f32 (*.f32 #s(literal 2 binary32) ux) (-.f32 #s(literal 2 binary32) ux) (fma.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal 2 binary32)) (-.f32 #s(literal 2 binary32) ux) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal 2 binary32)) ux) #s(literal 2 binary32) (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) #s(literal -2 binary32))) maxCos))) maxCos (pow.f32 (-.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (+ (* 2 (* ux (- 2 ux))) (+ (* maxCos (+ (* -2 (* ux (- 2 ux))) (+ (* 2 (* ux (- 2 (* -2 ux)))) (* maxCos (+ (* -2 (pow ux 2)) (* -1 (* ux (- 2 (* -2 ux))))))))) (* (- 2 ux) (- 2 (* -2 ux)))))) (pow (- 2 ux) 2))
(fma.f32 (fma.f32 (*.f32 #s(literal 2 binary32) ux) (-.f32 #s(literal 2 binary32) ux) (fma.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal 2 binary32)) (-.f32 #s(literal 2 binary32) ux) (*.f32 (fma.f32 (*.f32 #s(literal -2 binary32) ux) (-.f32 #s(literal 2 binary32) ux) (fma.f32 (*.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal 2 binary32)) ux) #s(literal 2 binary32) (*.f32 (-.f32 (*.f32 (*.f32 ux ux) #s(literal -2 binary32)) (*.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal 2 binary32)) ux)) maxCos))) maxCos))) maxCos (pow.f32 (-.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)))
(- 2 ux)
(-.f32 #s(literal 2 binary32) ux)
(- (+ 2 (* maxCos (- 2 (* -2 ux)))) ux)
(-.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal 2 binary32)) maxCos #s(literal 2 binary32)) ux)
(- (+ 2 (* maxCos (- (+ 2 (* -1 (* maxCos ux))) (* -2 ux)))) ux)
(-.f32 (fma.f32 (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 ux maxCos)) (*.f32 #s(literal -2 binary32) ux)) maxCos #s(literal 2 binary32)) ux)
(* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1)))))
(*.f32 (sqrt.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))
(+ (* 1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(fma.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (*.f32 (*.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) maxCos)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))))
(+ (* maxCos (+ (* 1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1)))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (*.f32 maxCos (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (fma.f32 (neg.f32 ux) ux (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (*.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))))) maxCos (*.f32 (sqrt.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))))
(+ (* maxCos (+ (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))) (* maxCos (+ (* -1/4 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))))) (sqrt (/ 1 (pow (+ 1 (* (- 1 ux) (- ux 1))) 3))))) (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (+ 1 (* (- 1 ux) (- ux 1))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 (neg.f32 ux) ux (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #s(literal 3 binary32)))) (*.f32 (*.f32 maxCos (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (*.f32 (fma.f32 (neg.f32 ux) ux (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) #s(literal -1/4 binary32))) maxCos (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))) maxCos (*.f32 (sqrt.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))))
(sqrt (+ 1 (* (- 1 ux) (- ux 1))))
(sqrt.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(+ (sqrt (+ 1 (* (- 1 ux) (- ux 1)))) (* 1/2 (* (* maxCos (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) maxCos)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))
(+ (sqrt (+ 1 (* (- 1 ux) (- ux 1)))) (* maxCos (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (* 1/2 (* (* maxCos (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (*.f32 (fma.f32 (neg.f32 ux) ux (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) maxCos) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))))) maxCos (sqrt.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))
(+ (sqrt (+ 1 (* (- 1 ux) (- ux 1)))) (* maxCos (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (* maxCos (+ (* -1/4 (* (* maxCos (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1)))))))) (sqrt (/ 1 (pow (+ 1 (* (- 1 ux) (- ux 1))) 3))))) (* 1/2 (* (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1)))))))))))))
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (fma.f32 (neg.f32 ux) ux (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))) (*.f32 (*.f32 (*.f32 (*.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) maxCos) (fma.f32 (neg.f32 ux) ux (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #s(literal 3 binary32))))) #s(literal -1/4 binary32))) maxCos (*.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #s(literal 1/2 binary32))) maxCos (sqrt.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* (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 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) ux) (*.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))) 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)))))))) 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)))
(* ux (- (/ 1 ux) 1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(sqrt (- 1 (pow (- 1 ux) 2)))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (* -1 (* (* maxCos (* ux (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))
(-.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (*.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (* maxCos (+ (* -1 (* (* ux (- 1 ux)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))
(fma.f32 (fma.f32 (*.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)) maxCos) (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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) ux)))) maxCos (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (* maxCos (+ (* -1 (* (* ux (- 1 ux)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (+ (/ (* (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 (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 (*.f32 ux 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)) (-.f32 #s(literal 1 binary32) ux))) (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 (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)) (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) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) ux)))) maxCos (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(* maxCos (* ux (- 1 ux)))
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)
(* maxCos (+ (* maxCos (pow ux 2)) (* ux (- 1 ux))))
(*.f32 (fma.f32 (*.f32 ux ux) maxCos (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) maxCos)
(- (+ 1 (* -1 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(* (pow maxCos 4) (pow ux 2))
(*.f32 (pow.f32 maxCos #s(literal 4 binary32)) (*.f32 ux ux))
(* (pow maxCos 4) (+ (* -2 (/ (pow ux 2) maxCos)) (+ (* -1 (/ (* ux (- 2 (* -2 ux))) maxCos)) (pow ux 2))))
(*.f32 (+.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux ux) #s(literal -2 binary32)) (*.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal 2 binary32)) ux)) maxCos) (*.f32 ux ux)) (pow.f32 maxCos #s(literal 4 binary32)))
(* (pow maxCos 4) (+ (* -2 (/ (* ux (- 2 ux)) (pow maxCos 2))) (+ (* -2 (/ (pow ux 2) maxCos)) (+ (* -1 (/ (* ux (- 2 (* -2 ux))) maxCos)) (+ (* 2 (/ (* ux (- 2 (* -2 ux))) (pow maxCos 2))) (pow ux 2))))))
(*.f32 (fma.f32 (/.f32 #s(literal -2 binary32) maxCos) (/.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) maxCos) (+.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux ux) #s(literal -2 binary32)) (*.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal 2 binary32)) ux)) maxCos) (fma.f32 (*.f32 (/.f32 ux maxCos) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal 2 binary32)) maxCos) (*.f32 ux ux)))) (pow.f32 maxCos #s(literal 4 binary32)))
(* (pow maxCos 4) (+ (* -2 (/ (* ux (- 2 ux)) (pow maxCos 2))) (+ (* -2 (/ (pow ux 2) maxCos)) (+ (* -1 (/ (* ux (- 2 (* -2 ux))) maxCos)) (+ (* 2 (/ (* ux (- 2 ux)) (pow maxCos 3))) (+ (* 2 (/ (* ux (- 2 (* -2 ux))) (pow maxCos 2))) (+ (/ (* (- 2 ux) (- 2 (* -2 ux))) (pow maxCos 3)) (pow ux 2))))))))
(*.f32 (fma.f32 (/.f32 #s(literal -2 binary32) maxCos) (/.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) maxCos) (+.f32 (/.f32 (-.f32 (*.f32 (*.f32 ux ux) #s(literal -2 binary32)) (*.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal 2 binary32)) ux)) maxCos) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (pow.f32 maxCos #s(literal 3 binary32))) #s(literal 2 binary32) (fma.f32 (*.f32 (/.f32 ux maxCos) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal 2 binary32)) maxCos) (fma.f32 (-.f32 #s(literal 2 binary32) ux) (/.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal 2 binary32)) (pow.f32 maxCos #s(literal 3 binary32))) (*.f32 ux ux)))))) (pow.f32 maxCos #s(literal 4 binary32)))
(* -1 (* (pow maxCos 2) ux))
(*.f32 (*.f32 (neg.f32 maxCos) maxCos) ux)
(* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ ux (* -2 (/ ux maxCos)))))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (fma.f32 (/.f32 ux maxCos) #s(literal -2 binary32) ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (+ (* 2 (/ 1 maxCos)) (/ 2 (pow maxCos 2))) (+ ux (+ (* -2 (/ ux maxCos)) (/ ux (pow maxCos 2))))))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)) (+.f32 (fma.f32 (/.f32 ux maxCos) #s(literal -2 binary32) (/.f32 ux (*.f32 maxCos maxCos))) ux)) (*.f32 maxCos 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 (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 ux maxCos)) (/.f32 (*.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (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 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) maxCos) (fma.f32 (/.f32 (*.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) ux))) maxCos)
(* maxCos (+ (* -1/4 (/ (* (cos (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 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))) (/.f32 (*.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (pow.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos) #s(literal 3 binary32)))) #s(literal -1/4 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (*.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) maxCos) (fma.f32 (/.f32 (*.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (*.f32 (*.f32 (*.f32 maxCos maxCos) ux) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) ux)))) maxCos)
(* maxCos (+ (* 1/2 (/ (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (* maxCos (* ux (sqrt -1))))) (* ux (sqrt -1))))
(*.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) maxCos)
(* maxCos (+ (* 1/2 (/ (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1)))))
(*.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 ux maxCos)) (/.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) maxCos)
(* maxCos (+ (* -1/4 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1))))))
(*.f32 (fma.f32 (/.f32 (*.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (pow.f32 (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos) #s(literal 3 binary32))) #s(literal -1/4 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 ux maxCos)) (/.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 maxCos maxCos) ux)) (/.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) 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 (*.f32 #s(literal -2 binary32) uy) (PI.f32) (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)) (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 maxCos) maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (*.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)) (fma.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (*.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(*.f32 (fma.f32 ux (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos) ux) maxCos)
(* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (* ux (sqrt -1))))
(*.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1)))))
(*.f32 (fma.f32 (/.f32 #s(literal -1 binary32) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #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 #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))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) maxCos)
(* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (- 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 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1))))))
(*.f32 (+.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 #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 (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 #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))) (sqrt.f32 #s(literal -1 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* (pow maxCos 2) (pow ux 2))
(*.f32 (*.f32 maxCos maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))
(*.f32 (fma.f32 ux ux (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (* ux (- 1 ux))))
(*.f32 (neg.f32 maxCos) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))
(* maxCos (- (/ 1 maxCos) (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) maxCos) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos))) maxCos)
(* (pow maxCos 4) (+ (* -1 (/ (+ (* 2 (pow ux 2)) (* ux (+ 2 (* 2 ux)))) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 ux ux (/.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal 2 binary32)) ux (*.f32 (*.f32 ux ux) #s(literal 2 binary32))) (neg.f32 maxCos))) (pow.f32 maxCos #s(literal 4 binary32)))
(* (pow maxCos 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* ux (- 2 ux))) (* 2 (* ux (+ 2 (* 2 ux))))) maxCos)) (+ (* 2 (pow ux 2)) (* ux (+ 2 (* 2 ux))))) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 ux ux (/.f32 (+.f32 (/.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal 2 binary32)) ux) #s(literal 2 binary32) (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) #s(literal -2 binary32))) (neg.f32 maxCos)) (fma.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal 2 binary32)) ux (*.f32 (*.f32 ux ux) #s(literal 2 binary32)))) (neg.f32 maxCos))) (pow.f32 maxCos #s(literal 4 binary32)))
(* (pow maxCos 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* ux (- 2 ux))) (+ (* -1 (/ (+ (* -2 (* ux (- 2 ux))) (* -1 (* (+ 2 (* 2 ux)) (- 2 ux)))) maxCos)) (* 2 (* ux (+ 2 (* 2 ux)))))) maxCos)) (+ (* 2 (pow ux 2)) (* ux (+ 2 (* 2 ux))))) maxCos)) (pow ux 2)))
(*.f32 (fma.f32 ux ux (/.f32 (+.f32 (/.f32 (fma.f32 (*.f32 #s(literal -2 binary32) ux) (-.f32 #s(literal 2 binary32) ux) (fma.f32 (*.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal 2 binary32)) ux) #s(literal 2 binary32) (/.f32 (fma.f32 (neg.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal 2 binary32))) (-.f32 #s(literal 2 binary32) ux) (*.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) #s(literal -2 binary32))) (neg.f32 maxCos)))) (neg.f32 maxCos)) (fma.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal 2 binary32)) ux (*.f32 (*.f32 ux ux) #s(literal 2 binary32)))) (neg.f32 maxCos))) (pow.f32 maxCos #s(literal 4 binary32)))
(* (pow maxCos 2) (- (+ (* 2 (/ ux maxCos)) (* 2 (/ 1 maxCos))) ux))
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal 2 binary32)) maxCos) ux) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 2 ux) maxCos)) (+ 2 (* 2 ux))) maxCos)) ux))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) (neg.f32 maxCos)) (fma.f32 #s(literal 2 binary32) ux #s(literal 2 binary32))) (neg.f32 maxCos)) 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 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))))
(* -1 (* maxCos (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 ux maxCos)) (/.f32 (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) (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 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) ux (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) ux) (*.f32 (*.f32 (/.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (*.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))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (cos (* 2 (* uy (PI)))) (* (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux)))) (* ux (sqrt -1))))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) ux (/.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) ux) (/.f32 (fma.f32 (*.f32 (/.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) ux) (/.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 (/.f32 (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) #s(literal 3 binary32))) (/.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) maxCos)) #s(literal 1/4 binary32))) (neg.f32 maxCos))) (neg.f32 maxCos))))
(* -1 (* maxCos (* ux (sqrt -1))))
(*.f32 (neg.f32 maxCos) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))
(* -1 (* maxCos (+ (* -1/2 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (* maxCos (* ux (sqrt -1))))) (* ux (sqrt -1)))))
(*.f32 (neg.f32 maxCos) (fma.f32 (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (* 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) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) ux) (*.f32 (/.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)) #s(literal -1/2 binary32))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (* 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) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) ux) (/.f32 (fma.f32 (/.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) #s(literal 1/2 binary32) (*.f32 (/.f32 (*.f32 (-.f32 (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (*.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux)) #s(literal 2 binary32)) (*.f32 ux ux)))) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) (*.f32 (-.f32 ux #s(literal 1 binary32)) ux))) (*.f32 (pow.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) #s(literal 3 binary32)) maxCos)) #s(literal 1/4 binary32))) (neg.f32 maxCos))) (neg.f32 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 (+ (* -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 #s(literal -2 binary32) uy) (PI.f32) (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)) (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 (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) ux) (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 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) ux (/.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 (/ (* ux (- (/ 1 ux) 1)) maxCos)))))
(*.f32 (neg.f32 maxCos) (neg.f32 (fma.f32 ux (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos) ux)))
(* -1 (* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (* ux (sqrt -1)))))
(*.f32 (neg.f32 maxCos) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (- (+ (* -1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* maxCos (* ux (sqrt -1))))) (/ 1 (sqrt -1))) (/ 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 #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))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (- 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 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* ux (sqrt -1))))) maxCos)) (/ 1 (sqrt -1))) (/ ux (sqrt -1))) maxCos)) (* ux (sqrt -1)))))
(*.f32 (neg.f32 maxCos) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (/.f32 (fma.f32 (/.f32 (*.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 ux ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))) maxCos) #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 maxCos))))
(* -1 (* maxCos (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -1 (* ux (- 1 ux))))))
(*.f32 (neg.f32 maxCos) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) #s(literal -1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))

rewrite237.0ms (2.3%)

Memory
-4.0MiB live, 190.9MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0101540
0158481
1640478
25489478
08081456
Stop Event
iter limit
node limit
iter limit
Counts
27 → 309
Calls
Call 1
Inputs
(sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (-.f32 #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 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal -2 binary32) maxCos)))
(fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))
(-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal -2 binary32) maxCos))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) #s(approx (sqrt (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)))
#s(approx (sqrt (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos))
(*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)
(*.f32 (sqrt.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 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)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #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 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(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 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))) #s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 maxCos ux)))))
(PI.f32)
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (/.f32 (*.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 3 binary32))) ux) (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) (*.f32 (-.f32 #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 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal -2 binary32) maxCos))))))
(neg.f32 (PI.f32))
(sqrt.f32 #s(literal -1 binary32))
#s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))
#s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
(sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
#s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 maxCos ux))
#s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux)))
Outputs
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal 0 binary32) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (PI.f32)))) (*.f32 #s(literal 0 binary32) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (PI.f32))))) (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) #s(literal 1 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) #s(literal 1 binary32)))) (cos.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (PI.f32))))
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal 0 binary32) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) #s(literal 1 binary32)) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 0 binary32) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (PI.f32)))) (*.f32 #s(literal 0 binary32) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (PI.f32)))) (-.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) #s(literal 1 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal 0 binary32) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (PI.f32)))) (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) #s(literal 1 binary32))))))
(-.f32 (*.f32 (sin.f32 (/.f32 (pow.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) uy) #s(literal 2 binary32)) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) uy) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))) (cos.f32 (/.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)) (-.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) uy) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))) (*.f32 (cos.f32 (/.f32 (pow.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) uy) #s(literal 2 binary32)) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) uy) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))) (sin.f32 (/.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)) (-.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) uy) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))))
(-.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (PI.f32)))) uy))) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (PI.f32)))) uy))))
(-.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (neg.f32 (*.f32 uy #s(literal 2 binary32))) (neg.f32 (PI.f32))))) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (neg.f32 (*.f32 uy #s(literal 2 binary32))) (neg.f32 (PI.f32))))))
(-.f32 (*.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (neg.f32 (neg.f32 (PI.f32))) (*.f32 uy #s(literal 2 binary32))))) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (neg.f32 (neg.f32 (PI.f32))) (*.f32 uy #s(literal 2 binary32))))))
(-.f32 (*.f32 (cos.f32 (*.f32 uy (neg.f32 (PI.f32)))) (cos.f32 (*.f32 uy (neg.f32 (PI.f32))))) (*.f32 (sin.f32 (*.f32 uy (neg.f32 (PI.f32)))) (sin.f32 (*.f32 uy (neg.f32 (PI.f32))))))
(-.f32 (*.f32 (cos.f32 (*.f32 (neg.f32 (PI.f32)) uy)) (cos.f32 (*.f32 (neg.f32 (PI.f32)) uy))) (*.f32 (sin.f32 (*.f32 (neg.f32 (PI.f32)) uy)) (sin.f32 (*.f32 (neg.f32 (PI.f32)) uy))))
(-.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)))))
(-.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (sin.f32 (*.f32 (PI.f32) uy))))
(-.f32 (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) #s(literal 1 binary32)) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))))
(-.f32 (*.f32 #s(literal 0 binary32) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (PI.f32)))) (*.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (PI.f32))) #s(literal 1 binary32)))
(fma.f32 (sin.f32 (/.f32 (neg.f32 (pow.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) #s(literal 3 binary32))) (fma.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 (neg.f32 (PI.f32)) uy) #s(literal 2 binary32))) (pow.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) uy) #s(literal 2 binary32)) #s(literal 2 binary32))))) (cos.f32 (/.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 8 binary32)) (fma.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 (neg.f32 (PI.f32)) uy) #s(literal 2 binary32))) (pow.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) uy) #s(literal 2 binary32)) #s(literal 2 binary32))))) (*.f32 (cos.f32 (/.f32 (neg.f32 (pow.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) #s(literal 3 binary32))) (fma.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 (neg.f32 (PI.f32)) uy) #s(literal 2 binary32))) (pow.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) uy) #s(literal 2 binary32)) #s(literal 2 binary32))))) (sin.f32 (/.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 8 binary32)) (fma.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 (neg.f32 (PI.f32)) uy) #s(literal 2 binary32))) (pow.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) uy) #s(literal 2 binary32)) #s(literal 2 binary32)))))))
(fma.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) #s(literal 0 binary32) (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) #s(literal 1 binary32)))
(fma.f32 #s(literal 0 binary32) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (PI.f32))) (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) #s(literal 1 binary32)))
(fma.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (PI.f32))) #s(literal 0 binary32) (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) #s(literal 1 binary32)))
(fma.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) #s(literal 1 binary32) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))))
(fma.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) #s(literal 1 binary32) (*.f32 #s(literal 0 binary32) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (PI.f32)))))
(fma.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))))
(fma.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (*.f32 #s(literal 0 binary32) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (PI.f32)))))
(sin.f32 (+.f32 (neg.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) uy) #s(literal 2 binary32))) (/.f32 (PI.f32) #s(literal 2 binary32))))
(sin.f32 (+.f32 (-.f32 (fma.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (PI.f32) #s(literal 2 binary32))))
(sin.f32 (fma.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(sin.f32 (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))))
(+.f32 (*.f32 (sin.f32 (/.f32 (neg.f32 (pow.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) #s(literal 3 binary32))) (fma.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 (neg.f32 (PI.f32)) uy) #s(literal 2 binary32))) (pow.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) uy) #s(literal 2 binary32)) #s(literal 2 binary32))))) (cos.f32 (/.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 8 binary32)) (fma.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 (neg.f32 (PI.f32)) uy) #s(literal 2 binary32))) (pow.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) uy) #s(literal 2 binary32)) #s(literal 2 binary32)))))) (*.f32 (cos.f32 (/.f32 (neg.f32 (pow.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)) #s(literal 3 binary32))) (fma.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 (neg.f32 (PI.f32)) uy) #s(literal 2 binary32))) (pow.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) uy) #s(literal 2 binary32)) #s(literal 2 binary32))))) (sin.f32 (/.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 8 binary32)) (fma.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (*.f32 (neg.f32 (PI.f32)) uy) #s(literal 2 binary32))) (pow.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) uy) #s(literal 2 binary32)) #s(literal 2 binary32)))))))
(+.f32 (*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) #s(literal 0 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) #s(literal 1 binary32)))
(+.f32 (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) #s(literal 1 binary32)) (*.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))))
(+.f32 (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) #s(literal 1 binary32)) (*.f32 #s(literal 0 binary32) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (PI.f32)))))
(+.f32 (*.f32 #s(literal 0 binary32) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (PI.f32)))) (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) #s(literal 1 binary32)))
(cos.f32 (neg.f32 (neg.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) uy) #s(literal 2 binary32)))))
(cos.f32 (neg.f32 (-.f32 (fma.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(cos.f32 (neg.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) uy) #s(literal 2 binary32))))
(cos.f32 (-.f32 (fma.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (PI.f32) #s(literal 2 binary32))))
(cos.f32 (*.f32 (*.f32 (neg.f32 (PI.f32)) uy) #s(literal 2 binary32)))
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
(*.f32 (fma.f32 maxCos #s(literal 2 binary32) (-.f32 #s(literal 2 binary32) (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (-.f32 #s(literal 2 binary32) (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))
(*.f32 (-.f32 #s(literal 2 binary32) (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (fma.f32 maxCos #s(literal 2 binary32) (-.f32 #s(literal 2 binary32) (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))))
(/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32))) (-.f32 #s(literal 2 binary32) (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))))
(/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 3 binary32)) (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal -8 binary32))) (-.f32 #s(literal 2 binary32) (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (fma.f32 (*.f32 #s(literal -2 binary32) maxCos) (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 2 binary32))))
(/.f32 (*.f32 (-.f32 #s(literal 4 binary32) (pow.f32 (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 2 binary32))) (fma.f32 maxCos #s(literal 2 binary32) (-.f32 #s(literal 2 binary32) (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) (fma.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 8 binary32) (pow.f32 (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 3 binary32))) (fma.f32 maxCos #s(literal 2 binary32) (-.f32 #s(literal 2 binary32) (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) (fma.f32 (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (fma.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32)) #s(literal 4 binary32)))
(/.f32 (*.f32 (fma.f32 maxCos #s(literal 2 binary32) (-.f32 #s(literal 2 binary32) (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (-.f32 #s(literal 4 binary32) (pow.f32 (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 2 binary32)))) (fma.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32)))
(/.f32 (*.f32 (fma.f32 maxCos #s(literal 2 binary32) (-.f32 #s(literal 2 binary32) (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (-.f32 #s(literal 8 binary32) (pow.f32 (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 3 binary32)))) (fma.f32 (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (fma.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32)) #s(literal 4 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (-.f32 (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 maxCos maxCos) #s(literal 4 binary32)))) (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))))
(/.f32 (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (-.f32 (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 3 binary32)) (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal -8 binary32)))) (fma.f32 (*.f32 #s(literal -2 binary32) maxCos) (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 2 binary32))))
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(*.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) uy)
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 uy #s(literal 2 binary32))))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 uy #s(literal 2 binary32))))
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy (*.f32 #s(literal 2 binary32) (PI.f32)))
(*.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32)))
(*.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32)))
(fma.f32 uy (PI.f32) (*.f32 uy (PI.f32)))
(fma.f32 (PI.f32) uy (*.f32 (PI.f32) uy))
(+.f32 (*.f32 uy (PI.f32)) (*.f32 uy (PI.f32)))
(+.f32 (*.f32 (PI.f32) uy) (*.f32 (PI.f32) uy))
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
(/.f32 (-.f32 (*.f32 uy uy) (*.f32 uy uy)) (-.f32 uy uy))
(/.f32 (+.f32 (pow.f32 uy #s(literal 3 binary32)) (pow.f32 uy #s(literal 3 binary32))) (fma.f32 uy uy (-.f32 (*.f32 uy uy) (*.f32 uy uy))))
(+.f32 uy uy)
(*.f32 (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (*.f32 ux ux) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (+.f32 #s(literal 1 binary32) (/.f32 maxCos ux))))) #s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 ux maxCos)))) (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (*.f32 ux ux) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (+.f32 #s(literal 1 binary32) (/.f32 maxCos ux))))) #s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 ux maxCos)))))
(fma.f32 (*.f32 #s(literal 0 binary32) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (*.f32 ux ux) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (+.f32 #s(literal 1 binary32) (/.f32 maxCos ux))))) #s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 ux maxCos)))) (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (*.f32 ux ux) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (+.f32 #s(literal 1 binary32) (/.f32 maxCos ux))))) #s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 ux maxCos))))))
(fma.f32 (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (*.f32 ux ux) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (+.f32 #s(literal 1 binary32) (/.f32 maxCos ux))))) #s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 ux maxCos)))) (*.f32 #s(literal 0 binary32) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (PI.f32)))) (*.f32 (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (*.f32 ux ux) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (+.f32 #s(literal 1 binary32) (/.f32 maxCos ux))))) #s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 ux maxCos)))) (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) #s(literal 1 binary32))))
(+.f32 (*.f32 (*.f32 #s(literal 0 binary32) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (*.f32 ux ux) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (+.f32 #s(literal 1 binary32) (/.f32 maxCos ux))))) #s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 ux maxCos))))) (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (*.f32 ux ux) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (+.f32 #s(literal 1 binary32) (/.f32 maxCos ux))))) #s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 ux maxCos))))))
(+.f32 (*.f32 (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (*.f32 ux ux) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (+.f32 #s(literal 1 binary32) (/.f32 maxCos ux))))) #s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 ux maxCos)))) (*.f32 #s(literal 0 binary32) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (PI.f32))))) (*.f32 (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (*.f32 ux ux) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (+.f32 #s(literal 1 binary32) (/.f32 maxCos ux))))) #s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 ux maxCos)))) (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) #s(literal 1 binary32))))
(log.f32 (exp.f32 (PI.f32)))
(*.f32 (neg.f32 (sqrt.f32 (PI.f32))) (neg.f32 (sqrt.f32 (PI.f32))))
(*.f32 (fabs.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (fabs.f32 (cbrt.f32 (PI.f32))))
(*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (PI.f32)) (log.f32 (exp.f32 (sqrt.f32 (PI.f32)))))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (cbrt.f32 (PI.f32)) (log.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(cbrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))
(sqrt.f32 (*.f32 (PI.f32) (PI.f32)))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))
(pow.f32 (PI.f32) #s(literal 1 binary32))
(fabs.f32 (neg.f32 (PI.f32)))
(fabs.f32 (PI.f32))
(+.f32 (cosh.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 1 binary32))) (sinh.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 1 binary32))))
(+.f32 (cosh.f32 (log.f32 (PI.f32))) (sinh.f32 (log.f32 (PI.f32))))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (PI.f32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) #s(literal 1/3 binary32)))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (PI.f32))) #s(literal 3 binary32)))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 1 binary32)))
(exp.f32 (log.f32 (PI.f32)))
(PI.f32)
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (/.f32 (*.f32 (fma.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal -8 binary32) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal 3 binary32))) ux) (fma.f32 (*.f32 #s(literal 4 binary32) maxCos) maxCos (*.f32 (fma.f32 maxCos #s(literal 2 binary32) (-.f32 #s(literal 2 binary32) (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (-.f32 #s(literal 2 binary32) (*.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))))))
(log.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (PI.f32))))
(*.f32 (neg.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (neg.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (neg.f32 (sqrt.f32 (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (neg.f32 (cbrt.f32 (PI.f32))))
(-.f32 #s(literal 0 binary32) (PI.f32))
(neg.f32 (PI.f32))
(*.f32 (pow.f32 #s(literal -1 binary32) #s(literal 1/4 binary32)) (pow.f32 #s(literal -1 binary32) #s(literal 1/4 binary32)))
(sqrt.f32 #s(literal -1 binary32))
(pow.f32 #s(literal -1 binary32) #s(literal 1/2 binary32))
(+.f32 (cosh.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))) (sinh.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32))))
(exp.f32 (*.f32 (log.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)))
#s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))
#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 (pow.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(literal 1/4 binary32)) (pow.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(literal 1/4 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)))
(pow.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(literal 1/2 binary32))
(+.f32 (cosh.f32 (*.f32 (log.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(literal 1/2 binary32))) (sinh.f32 (*.f32 (log.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(literal 1/2 binary32))))
(exp.f32 (*.f32 (log.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(literal 1/2 binary32)))
#s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 ux maxCos))
#s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (*.f32 ux ux) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (+.f32 #s(literal 1 binary32) (/.f32 maxCos ux)))))

eval89.0ms (0.9%)

Memory
7.0MiB live, 192.4MiB allocated; 25ms collecting garbage
Compiler

Compiled 46 668 to 3 499 computations (92.5% saved)

prune159.0ms (1.5%)

Memory
-18.5MiB live, 255.4MiB allocated; 31ms collecting garbage
Pruning

72 alts after pruning (69 fresh and 3 done)

PrunedKeptTotal
New62518643
Fresh45155
Picked415
Done022
Total63372705
Accuracy
99.9%
Counts
705 → 72
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.5%
(*.f32 (/.f32 (+.f32 (pow.f32 (*.f32 #s(literal 0 binary32) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) #s(literal 1 binary32)) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 0 binary32) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (PI.f32)))) (*.f32 #s(literal 0 binary32) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (PI.f32)))) (-.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) #s(literal 1 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal 0 binary32) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (PI.f32)))) (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (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 -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 3 binary32))) ux) (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) (*.f32 (-.f32 #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 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal -2 binary32) maxCos))))))))
98.6%
(*.f32 (-.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (sin.f32 (*.f32 (PI.f32) uy)))) (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))))
98.4%
(*.f32 (-.f32 (*.f32 #s(literal 0 binary32) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (PI.f32)))) (*.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (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 -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 3 binary32))) ux) (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) (*.f32 (-.f32 #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 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal -2 binary32) maxCos))))))))
98.6%
(*.f32 (sin.f32 (fma.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (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))))
98.5%
(*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (exp.f32 (log.f32 (PI.f32))) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (/.f32 (*.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 3 binary32))) ux) (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) (*.f32 (-.f32 #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 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal -2 binary32) maxCos))))))))
98.7%
(*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (/.f32 (*.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 3 binary32))) ux) (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(approx (- (- 2 (* (pow (- maxCos 1) 2) ux)) (* -2 maxCos)) (-.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal 2 binary32)) maxCos #s(literal 2 binary32)) ux))))))))
89.3%
(*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (/.f32 (*.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 3 binary32))) ux) (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) #s(approx (* (- 2 (* (pow (- maxCos 1) 2) ux)) (- (- 2 (* (pow (- maxCos 1) 2) ux)) (* -2 maxCos))) (fma.f32 (fma.f32 (neg.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -2 binary32))) ux (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos)) #s(literal 2 binary32)))))))))
93.5%
(*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (/.f32 (*.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 3 binary32))) ux) (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) #s(approx (* (- 2 (* (pow (- maxCos 1) 2) ux)) (- (- 2 (* (pow (- maxCos 1) 2) ux)) (* -2 maxCos))) (pow.f32 (-.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32))))))))
98.6%
(*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (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 #s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))) ux))) ux))))
98.6%
(*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
93.7%
(*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
48.7%
(*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.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))))))
97.4%
(*.f32 (cos.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 uy #s(literal 2 binary32))))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))) #s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 maxCos ux)))))
57.1%
(*.f32 (cos.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
98.8%
(*.f32 (cos.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (/.f32 (expm1.f32 (*.f32 (log1p.f32 (-.f32 (*.f32 maxCos ux) ux)) #s(literal 4 binary32))) (-.f32 (neg.f32 (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))) #s(literal 1 binary32)))))
97.5%
(*.f32 (cos.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))) #s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 maxCos ux)))))
77.0%
(*.f32 (cos.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
76.6%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (*.f32 (pow.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(literal 1/4 binary32)) (pow.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(literal 1/4 binary32))))
98.6%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (pow.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (*.f32 ux ux) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (+.f32 #s(literal 1 binary32) (/.f32 maxCos ux))))) #s(literal 2 binary32)) (pow.f32 (*.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) maxCos) ux) #s(literal 2 binary32))) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (*.f32 ux ux) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (+.f32 #s(literal 1 binary32) (/.f32 maxCos ux)))))))))
55.4%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
98.4%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 maxCos ux) #s(literal 3 binary32))) (*.f32 ux ux)) (fma.f32 (/.f32 maxCos ux) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (-.f32 #s(literal 1 binary32) (/.f32 maxCos ux))) (pow.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 1 binary32)) #s(literal 2 binary32))))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
98.5%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (/.f32 maxCos ux) #s(literal 2 binary32))) (*.f32 ux ux)) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (-.f32 #s(literal 1 binary32) (/.f32 maxCos ux))))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
98.7%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (+.f32 (*.f32 (/.f32 #s(literal 2 binary32) ux) (*.f32 ux ux)) (*.f32 (-.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 maxCos ux)) (*.f32 ux ux)))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
97.6%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) #s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 maxCos ux)))))
77.0%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) #s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 maxCos ux)))))
98.7%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (+.f32 #s(literal 1 binary32) (/.f32 maxCos ux))) ux) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
85.0%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) #s(approx (* (- (+ (/ 2 ux) (- maxCos 1)) (/ maxCos ux)) (* ux ux)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
45.2%
(*.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))))))
98.7%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (-.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 1 binary32)) (neg.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos maxCos))) (*.f32 ux ux)))))
42.7%
(*.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 (fma.f32 (neg.f32 ux) ux (*.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 maxCos maxCos))))))
93.4%
(*.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)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
48.6%
(*.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 (* (pow (- maxCos 1) 2) ux))) ux) (*.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))))))
55.4%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
98.8%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) ux #s(literal -1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
77.0%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos) ux))))
90.9%
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) #s(approx (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux))) (fma.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (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) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
25.0%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) 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 (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
51.6%
(*.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 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
53.4%
(*.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 (fma.f32 (neg.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) #s(literal 1 binary32))))
51.7%
(*.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) (*.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))))))))
51.7%
(*.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) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
52.9%
(*.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 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
52.3%
(*.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 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
25.1%
(*.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 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
25.5%
(*.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 (-.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)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
52.0%
(*.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 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (neg.f32 ux) (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
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) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
42.0%
(*.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) #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))))))
51.5%
(*.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 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))
88.9%
(*.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 #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))))
70.0%
(*.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 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
51.4%
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (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))))
77.0%
#s(approx (* (sin (+ (* (neg (PI)) (* 2 uy)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
90.9%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (*.f32 (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 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)))))
52.9%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))))
50.3%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
52.9%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))
50.0%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (-.f32 ux (*.f32 maxCos ux)) (-.f32 ux (*.f32 maxCos ux))) #s(literal 1 binary32)) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
50.4%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
50.4%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 (-.f32 ux #s(literal 1 binary32)) (*.f32 maxCos ux)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
50.3%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
49.2%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) (-.f32 ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
50.7%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) (*.f32 (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)) ux)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
50.7%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) (*.f32 (neg.f32 ux) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (neg.f32 maxCos)))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
25.3%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) #s(literal -1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
49.1%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
81.3%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux))) (/.f32 maxCos ux)) (*.f32 ux ux)))))
65.4%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
81.4%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (-.f32 maxCos #s(literal 1 binary32)) (neg.f32 (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1 binary32)) maxCos) ux))))
3.6%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux)))))
75.3%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) #s(approx (sqrt (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1)) (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) #s(literal 1/2 binary32) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))))
-0.0%
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) #s(approx (sqrt (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)))
Compiler

Compiled 10 685 to 3 138 computations (70.6% saved)

regimes411.0ms (4%)

Memory
2.3MiB live, 680.0MiB allocated; 105ms collecting garbage
Counts
130 → 1
Calls
Call 1
Inputs
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) #s(approx (sqrt (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) #s(literal -1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) (-.f32 ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 (-.f32 ux #s(literal 1 binary32)) (*.f32 maxCos ux)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (-.f32 maxCos #s(literal 1 binary32)) (neg.f32 (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1 binary32)) 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) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) (*.f32 (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)) ux)) (-.f32 (fma.f32 maxCos ux #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 #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 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #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)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) (*.f32 (neg.f32 ux) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (neg.f32 maxCos)))) (-.f32 (fma.f32 maxCos ux #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) #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) (*.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 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)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) 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 (* (- (+ (/ 1 ux) maxCos) 1) 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))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #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 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #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)) (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 #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)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) 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)) (+.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 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (-.f32 ux (*.f32 maxCos ux)) (-.f32 ux (*.f32 maxCos ux))) #s(literal 1 binary32)) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
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(*.f32 (-.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy))) (*.f32 (sin.f32 (*.f32 (PI.f32) uy)) (sin.f32 (*.f32 (PI.f32) uy)))) (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 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 2 binary32))) ux) (-.f32 (*.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)))))))
(*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (/.f32 (*.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 3 binary32))) ux) (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) #s(approx (* (- 2 (* (pow (- maxCos 1) 2) ux)) (- (- 2 (* (pow (- maxCos 1) 2) ux)) (* -2 maxCos))) (pow.f32 (-.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32))))))))
(*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (/.f32 (*.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 3 binary32))) ux) (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(approx (- (- 2 (* (pow (- maxCos 1) 2) ux)) (* -2 maxCos)) (-.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) ux #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 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (/.f32 (*.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32))) (*.f32 ux ux)) (+.f32 (fma.f32 (/.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)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 2 binary32)))))))
(*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (/.f32 (*.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 3 binary32))) ux) (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) (*.f32 (-.f32 #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 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal -2 binary32) maxCos))))))))
(*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (/.f32 (*.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 3 binary32))) ux) (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) #s(approx (* (- 2 (* (pow (- maxCos 1) 2) ux)) (- (- 2 (* (pow (- maxCos 1) 2) ux)) (* -2 maxCos))) (fma.f32 (fma.f32 (neg.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -2 binary32))) ux (*.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(literal -2 binary32) maxCos)) #s(literal 2 binary32)))))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (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)))))
(*.f32 (-.f32 (*.f32 #s(literal 0 binary32) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (PI.f32)))) (*.f32 (cos.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (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 -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 3 binary32))) ux) (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) (*.f32 (-.f32 #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 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal -2 binary32) maxCos))))))))
(*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (exp.f32 (log.f32 (PI.f32))) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (/.f32 (*.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 3 binary32))) ux) (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) (*.f32 (-.f32 #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 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal -2 binary32) maxCos))))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)) (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 -1/16 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 (*.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 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)))))
(*.f32 (/.f32 (+.f32 (pow.f32 (*.f32 #s(literal 0 binary32) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) #s(literal 1 binary32)) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 0 binary32) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (PI.f32)))) (*.f32 #s(literal 0 binary32) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (PI.f32)))) (-.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) #s(literal 1 binary32)) (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) #s(literal 1 binary32))) (*.f32 (*.f32 #s(literal 0 binary32) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (PI.f32)))) (*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (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 -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 3 binary32))) ux) (fma.f32 #s(literal 4 binary32) (*.f32 maxCos maxCos) (*.f32 (-.f32 #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 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal -2 binary32) maxCos))))))))
Outputs
(*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (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))))
Calls

11 calls:

53.0ms
(*.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))))))
46.0ms
maxCos
45.0ms
(*.f32 uy #s(literal 2 binary32))
43.0ms
uy
34.0ms
ux
Results
AccuracySegmentsBranch
99.1%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
99.1%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
99.1%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))))
99.1%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)))))
99.1%1(*.f32 uy #s(literal 2 binary32))
99.1%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
99.1%1(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
99.1%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))))))
99.1%1ux
99.1%1uy
99.1%1maxCos
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes257.0ms (2.5%)

Memory
31.2MiB live, 408.3MiB allocated; 35ms collecting garbage
Counts
97 → 1
Calls
Call 1
Inputs
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) #s(approx (sqrt (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) #s(literal -1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) (-.f32 ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 (-.f32 ux #s(literal 1 binary32)) (*.f32 maxCos ux)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (-.f32 maxCos #s(literal 1 binary32)) (neg.f32 (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1 binary32)) 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) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) (*.f32 (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)) ux)) (-.f32 (fma.f32 maxCos ux #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 #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 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #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)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) (*.f32 (neg.f32 ux) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (neg.f32 maxCos)))) (-.f32 (fma.f32 maxCos ux #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) #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))))))
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(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 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))))))
(*.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 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
(*.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))))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (fma.f32 (-.f32 (-.f32 maxCos (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) #s(literal 2 binary32)) ux #s(literal 1 binary32)))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (-.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 1 binary32)) (neg.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos maxCos))) (*.f32 ux ux)))))
(*.f32 (cos.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))) #s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 maxCos ux)))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))) #s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 maxCos ux)))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))))) (*.f32 ux ux)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) #s(approx (sqrt (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1)) (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) #s(literal 1/2 binary32) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) 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)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.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))))))
(*.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))))))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (+.f32 #s(literal 1 binary32) (/.f32 maxCos ux))) ux) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.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))))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (+.f32 (*.f32 (/.f32 #s(literal 2 binary32) ux) (*.f32 ux ux)) (*.f32 (-.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 maxCos ux)) (*.f32 ux ux)))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.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))))))
(*.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 (fma.f32 (neg.f32 ux) ux (*.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 maxCos maxCos))))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) #s(approx (* (- (+ (/ 2 ux) (- maxCos 1)) (/ maxCos ux)) (* ux ux)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) 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))))))
(*.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 (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))))))
(*.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)))) (fma.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux (*.f32 (*.f32 #s(literal -2 binary32) maxCos) 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 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(*.f32 (sin.f32 (fma.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (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 (sin.f32 (fma.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (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))))
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)))) (fma.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux (*.f32 (*.f32 #s(literal -2 binary32) maxCos) ux)))))
Calls

11 calls:

28.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
25.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
25.0ms
(*.f32 uy #s(literal 2 binary32))
24.0ms
ux
23.0ms
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)

regimes323.0ms (3.1%)

Memory
-9.6MiB live, 367.2MiB allocated; 34ms collecting garbage
Counts
93 → 1
Calls
Call 1
Inputs
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) #s(approx (sqrt (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) #s(literal -1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) (-.f32 ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 (-.f32 ux #s(literal 1 binary32)) (*.f32 maxCos ux)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (-.f32 maxCos #s(literal 1 binary32)) (neg.f32 (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1 binary32)) 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) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) (*.f32 (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)) ux)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
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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 #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 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) 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))))))
(*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (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 #s(approx (pow (- maxCos 1) 2) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))) ux))) ux))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 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))))))
(*.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 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 maxCos ux) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))))))))
(*.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))))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (fma.f32 (-.f32 (-.f32 maxCos (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) #s(literal 2 binary32)) ux #s(literal 1 binary32)))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (-.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 1 binary32)) (neg.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos maxCos))) (*.f32 ux ux)))))
(*.f32 (cos.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))) #s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 maxCos ux)))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))) #s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 maxCos ux)))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))))) (*.f32 ux ux)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) #s(approx (sqrt (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1)) (fma.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos)))) #s(literal 1/2 binary32) (sqrt.f32 (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) 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)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.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))))))
(*.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))))))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) (+.f32 #s(literal 1 binary32) (/.f32 maxCos ux))) ux) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 maxCos ux)) (*.f32 ux ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.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))))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (+.f32 (*.f32 (/.f32 #s(literal 2 binary32) ux) (*.f32 ux ux)) (*.f32 (-.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 maxCos ux)) (*.f32 ux ux)))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.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))))))
(*.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 (fma.f32 (neg.f32 ux) ux (*.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 maxCos maxCos))))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) #s(approx (* (- (+ (/ 2 ux) (- maxCos 1)) (/ maxCos ux)) (* ux ux)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux)) (*.f32 ux ux) (*.f32 (*.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos))) maxCos))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) 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))))))
(*.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 (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))))))
Outputs
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) ux #s(literal -1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
Calls

11 calls:

53.0ms
(*.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))))))
46.0ms
(-.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))))
39.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
25.0ms
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
24.0ms
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)

regimes160.0ms (1.5%)

Memory
4.3MiB live, 284.5MiB allocated; 22ms collecting garbage
Counts
57 → 1
Calls
Call 1
Inputs
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) #s(approx (sqrt (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) #s(literal -1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) (-.f32 ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 (-.f32 ux #s(literal 1 binary32)) (*.f32 maxCos ux)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (-.f32 maxCos #s(literal 1 binary32)) (neg.f32 (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1 binary32)) 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) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) (*.f32 (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)) ux)) (-.f32 (fma.f32 maxCos ux #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 #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 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #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)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) (*.f32 (neg.f32 ux) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (neg.f32 maxCos)))) (-.f32 (fma.f32 maxCos ux #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) #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) (*.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 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)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) 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 (* (- (+ (/ 1 ux) maxCos) 1) 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))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #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 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #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)) (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 #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)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) 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)) (+.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 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (-.f32 ux (*.f32 maxCos ux)) (-.f32 ux (*.f32 maxCos ux))) #s(literal 1 binary32)) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #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 (fma.f32 (neg.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) #s(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 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux))) (/.f32 maxCos ux)) (*.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)) #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 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (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 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #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 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (neg.f32 ux) (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.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))))))))
#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 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) 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)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
(*.f32 (cos.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 (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 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.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 (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos) ux))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) #s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 maxCos ux)))))
#s(approx (* (sin (+ (* (neg (PI)) (* 2 uy)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 (*.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 (-.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))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 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)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (*.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 (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 uy) (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (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 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) #s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 maxCos ux)))))
(*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
Outputs
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) #s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 maxCos ux)))))
Calls

11 calls:

17.0ms
maxCos
17.0ms
(*.f32 uy #s(literal 2 binary32))
15.0ms
(*.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))))))
15.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
15.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
Results
AccuracySegmentsBranch
97.6%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
97.6%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
97.6%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))))
97.6%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)))))
97.6%1(*.f32 uy #s(literal 2 binary32))
97.6%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
97.6%1(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
97.6%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))))))
97.6%1ux
97.6%1uy
97.6%1maxCos
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes159.0ms (1.5%)

Memory
39.7MiB live, 322.8MiB allocated; 29ms collecting garbage
Counts
55 → 2
Calls
Call 1
Inputs
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) #s(approx (sqrt (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)))
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#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) #s(literal -1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) (-.f32 ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
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#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))
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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 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (*.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 (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 uy) (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
Outputs
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (-.f32 maxCos #s(literal 1 binary32)) (neg.f32 (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1 binary32)) maxCos) ux))))
(*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
Calls

11 calls:

19.0ms
(-.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))))
18.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
15.0ms
uy
14.0ms
(*.f32 uy #s(literal 2 binary32))
13.0ms
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
Results
AccuracySegmentsBranch
93.7%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
93.7%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
97.4%2(*.f32 uy #s(literal 2 binary32))
97.4%2(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
97.3%2(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
97.4%2uy
97.0%2maxCos
93.7%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))))
93.7%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)))))
93.7%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))))))
93.7%1ux
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes58.0ms (0.6%)

Memory
-5.9MiB live, 132.6MiB allocated; 9ms collecting garbage
Counts
51 → 2
Calls
Call 1
Inputs
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) #s(approx (sqrt (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) #s(literal -1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) (-.f32 ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 (-.f32 ux #s(literal 1 binary32)) (*.f32 maxCos ux)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (-.f32 maxCos #s(literal 1 binary32)) (neg.f32 (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1 binary32)) 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) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) (*.f32 (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)) ux)) (-.f32 (fma.f32 maxCos ux #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 #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 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #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)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) (*.f32 (neg.f32 ux) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (neg.f32 maxCos)))) (-.f32 (fma.f32 maxCos ux #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) #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) (*.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 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)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) 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 (* (- (+ (/ 1 ux) maxCos) 1) 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))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #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 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #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)) (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 #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)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) 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)) (+.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 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (-.f32 ux (*.f32 maxCos ux)) (-.f32 ux (*.f32 maxCos ux))) #s(literal 1 binary32)) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #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 (fma.f32 (neg.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) #s(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 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux))) (/.f32 maxCos ux)) (*.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)) #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 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (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 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #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 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (neg.f32 ux) (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.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))))))))
#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 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) 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)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
(*.f32 (cos.f32 (*.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 (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 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.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 (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal 1 binary32))) maxCos) ux))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) #s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 maxCos ux)))))
#s(approx (* (sin (+ (* (neg (PI)) (* 2 uy)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (*.f32 (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 (*.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 (-.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))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 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)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
Outputs
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (-.f32 maxCos #s(literal 1 binary32)) (neg.f32 (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1 binary32)) maxCos) 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)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
Calls

4 calls:

15.0ms
(*.f32 uy #s(literal 2 binary32))
15.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
12.0ms
uy
11.0ms
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
Results
AccuracySegmentsBranch
97.1%2(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
97.1%2(*.f32 uy #s(literal 2 binary32))
97.1%2(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
97.1%2uy
Compiler

Compiled 15 to 23 computations (-53.3% saved)

regimes129.0ms (1.2%)

Memory
-32.2MiB live, 211.1MiB allocated; 23ms collecting garbage
Counts
40 → 2
Calls
Call 1
Inputs
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) #s(approx (sqrt (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) #s(literal -1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) (-.f32 ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 (-.f32 ux #s(literal 1 binary32)) (*.f32 maxCos ux)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (-.f32 maxCos #s(literal 1 binary32)) (neg.f32 (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1 binary32)) 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) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) (*.f32 (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)) ux)) (-.f32 (fma.f32 maxCos ux #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 #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 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #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)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) (*.f32 (neg.f32 ux) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (neg.f32 maxCos)))) (-.f32 (fma.f32 maxCos ux #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) #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) (*.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 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)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) uy) (*.f32 #s(literal -2 binary32) 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 (* (- (+ (/ 1 ux) maxCos) 1) 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))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (*.f32 (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #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 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #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)) (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 #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)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) 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)) (+.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 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (/.f32 (-.f32 (*.f32 (-.f32 ux (*.f32 maxCos ux)) (-.f32 ux (*.f32 maxCos ux))) #s(literal 1 binary32)) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #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 (fma.f32 (neg.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) #s(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 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (fma.f32 (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux))) (/.f32 maxCos ux)) (*.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)) #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 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(*.f32 #s(approx (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 (fma.f32 (*.f32 (neg.f32 maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) ux (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #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 #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (neg.f32 ux) (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(*.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))))))))
#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 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 uy uy)) (*.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))))
Outputs
(*.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))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (-.f32 maxCos #s(literal 1 binary32)) (neg.f32 (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1 binary32)) maxCos) ux))))
Calls

11 calls:

20.0ms
ux
16.0ms
uy
13.0ms
(*.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))
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
84.8%2ux
84.7%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))))
84.7%2(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
84.6%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))))))
84.7%2(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
84.7%2(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
81.4%1maxCos
85.1%2(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
85.1%2(*.f32 uy #s(literal 2 binary32))
85.1%2(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
85.1%2uy
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes58.0ms (0.6%)

Memory
35.1MiB live, 81.1MiB allocated; 5ms collecting garbage
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) #s(approx (sqrt (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) #s(literal -1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) (-.f32 ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 (-.f32 ux #s(literal 1 binary32)) (*.f32 maxCos ux)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (-.f32 maxCos #s(literal 1 binary32)) (neg.f32 (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1 binary32)) 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) (*.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) (*.f32 (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)) ux)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
Outputs
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (-.f32 maxCos #s(literal 1 binary32)) (neg.f32 (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1 binary32)) maxCos) ux))))
Calls

11 calls:

20.0ms
(-.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))))
4.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
4.0ms
uy
4.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
4.0ms
ux
Results
AccuracySegmentsBranch
81.4%1maxCos
81.4%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))))))
81.4%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
81.4%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
81.4%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))))
81.4%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)))))
81.4%1ux
81.4%1(*.f32 uy #s(literal 2 binary32))
81.4%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
81.4%1uy
81.4%1(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes42.0ms (0.4%)

Memory
-10.2MiB live, 77.2MiB allocated; 12ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) #s(approx (sqrt (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) #s(literal -1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) (-.f32 ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 (-.f32 ux #s(literal 1 binary32)) (*.f32 maxCos ux)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
Outputs
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 (-.f32 ux #s(literal 1 binary32)) (*.f32 maxCos ux)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
Calls

11 calls:

7.0ms
(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
7.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
3.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
3.0ms
(*.f32 uy #s(literal 2 binary32))
3.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
Results
AccuracySegmentsBranch
76.7%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))))
76.7%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)))))
65.4%1(*.f32 uy #s(literal 2 binary32))
65.4%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
76.7%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))))))
76.7%2ux
65.4%1uy
76.7%2(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
76.7%2(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
65.4%1(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
65.4%1maxCos
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes331.0ms (3.2%)

Memory
-44.7MiB live, 34.2MiB allocated; 682ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) #s(approx (sqrt (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) #s(literal -1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) (-.f32 ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
Outputs
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
Calls

6 calls:

319.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms
ux
2.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
2.0ms
(*.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))))))
2.0ms
(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)))))
Results
AccuracySegmentsBranch
76.6%2ux
76.6%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))))))
76.6%2(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
76.6%2(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
76.6%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))))
76.6%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)))))
Compiler

Compiled 83 to 53 computations (36.1% saved)

regimes14.0ms (0.1%)

Memory
26.5MiB live, 26.5MiB allocated; 0ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) #s(approx (sqrt (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) #s(literal -1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) (-.f32 ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
Outputs
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) (-.f32 ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
Calls

6 calls:

2.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
2.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms
ux
2.0ms
(*.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))))))
2.0ms
(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)))))
Results
AccuracySegmentsBranch
75.7%2ux
75.7%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))))))
75.7%2(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
75.7%2(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
75.7%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))))
75.7%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)))))
Compiler

Compiled 83 to 53 computations (36.1% saved)

regimes17.0ms (0.2%)

Memory
-22.1MiB live, 30.4MiB allocated; 6ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) #s(approx (sqrt (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) #s(literal -1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
Outputs
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
Calls

6 calls:

7.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
2.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms
ux
2.0ms
(*.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))))))
2.0ms
(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)))))
Results
AccuracySegmentsBranch
75.6%2ux
75.6%2(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
75.6%2(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
75.6%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))))
75.6%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)))))
75.6%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)

regimes22.0ms (0.2%)

Memory
-4.8MiB live, 41.1MiB allocated; 4ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) #s(approx (sqrt (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) #s(literal -1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (*.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux)))))
Outputs
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
Calls

11 calls:

5.0ms
uy
2.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
2.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
2.0ms
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms
(*.f32 uy #s(literal 2 binary32))
Results
AccuracySegmentsBranch
49.1%1(*.f32 uy #s(literal 2 binary32))
49.1%1(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
49.1%1uy
49.1%1(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
49.1%1maxCos
49.1%1ux
49.1%1(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
49.1%1(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
49.1%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))))
49.1%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)))))
49.1%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))))))
Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes11.0ms (0.1%)

Memory
30.6MiB live, 30.6MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

11 calls:

1.0ms
(*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))
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 uy #s(literal 2 binary32))
1.0ms
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
Results
AccuracySegmentsBranch
-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%1(cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))
-0.0%1ux
-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 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; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.000108906882815063
0.0001089906509150751
Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
0.000108906882815063
0.0001089906509150751
Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9999954104423523
0.9999961256980896
Compiler

Compiled 28 to 22 computations (21.4% saved)

bsearch0.0ms (0%)

Memory
1.4MiB live, 1.3MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.019551075994968414
0.021074017509818077
Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch0.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.019551075994968414
0.021074017509818077
Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch4.0ms (0%)

Memory
-44.1MiB live, 1.8MiB allocated; 4ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.01955106109380722
0.02209547907114029
Compiler

Compiled 28 to 22 computations (21.4% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.01955106109380722
0.02209547907114029
Compiler

Compiled 28 to 22 computations (21.4% saved)

simplify54.0ms (0.5%)

Memory
17.2MiB live, 68.0MiB allocated; 9ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01581193
12671193
24931193
312661193
434151193
Stop Event
node limit
Calls
Call 1
Inputs
(*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (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 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (fma.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux (*.f32 (*.f32 #s(literal -2 binary32) maxCos) ux)))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) ux #s(literal -1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) #s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 maxCos ux)))))
(if (<=.f32 uy #s(literal 7486987/68719476736 binary32)) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (-.f32 maxCos #s(literal 1 binary32)) (neg.f32 (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1 binary32)) maxCos) ux)))) (*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))))))
(if (<=.f32 uy #s(literal 7486987/68719476736 binary32)) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (-.f32 maxCos #s(literal 1 binary32)) (neg.f32 (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1 binary32)) maxCos) 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)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) #s(literal 16777149/16777216 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)))) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (-.f32 maxCos #s(literal 1 binary32)) (neg.f32 (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1 binary32)) maxCos) ux)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (-.f32 maxCos #s(literal 1 binary32)) (neg.f32 (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1 binary32)) maxCos) ux))))
(if (<=.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 5368709/268435456 binary32)) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 (-.f32 ux #s(literal 1 binary32)) (*.f32 maxCos ux)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))
(if (<=.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 5368709/268435456 binary32)) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))
(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 5368709/268435456 binary32)) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) (-.f32 ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))
(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 5368709/268435456 binary32)) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) #s(approx (sqrt (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)))
Outputs
(*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (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 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (fma.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux (*.f32 (*.f32 #s(literal -2 binary32) maxCos) ux)))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) ux #s(literal -1 binary32)) #s(literal 1 binary32)) maxCos) 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 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) ux #s(literal -1 binary32)) #s(literal 1 binary32)) maxCos) ux))))
(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) #s(approx (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux) (*.f32 maxCos ux)))))
(if (<=.f32 uy #s(literal 7486987/68719476736 binary32)) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (-.f32 maxCos #s(literal 1 binary32)) (neg.f32 (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1 binary32)) maxCos) ux)))) (*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))))))
(if (<=.f32 uy #s(literal 7486987/68719476736 binary32)) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (-.f32 maxCos #s(literal 1 binary32)) (-.f32 (neg.f32 maxCos) #s(literal -1 binary32))) #s(literal 1 binary32)) maxCos) ux)))) (*.f32 (sin.f32 (fma.f32 (neg.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))))))
(if (<=.f32 uy #s(literal 7486987/68719476736 binary32)) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (-.f32 maxCos #s(literal 1 binary32)) (neg.f32 (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1 binary32)) maxCos) 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)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))))))
(if (<=.f32 uy #s(literal 7486987/68719476736 binary32)) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (-.f32 maxCos #s(literal 1 binary32)) (-.f32 (neg.f32 maxCos) #s(literal -1 binary32))) #s(literal 1 binary32)) maxCos) 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)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) #s(literal 16777149/16777216 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)))) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (-.f32 maxCos #s(literal 1 binary32)) (neg.f32 (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1 binary32)) maxCos) ux)))))
(if (<=.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) #s(literal 16777149/16777216 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)))) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (-.f32 maxCos #s(literal 1 binary32)) (-.f32 (neg.f32 maxCos) #s(literal -1 binary32))) #s(literal 1 binary32)) maxCos) ux)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (-.f32 maxCos #s(literal 1 binary32)) (neg.f32 (-.f32 maxCos #s(literal 1 binary32)))) #s(literal 1 binary32)) maxCos) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (+.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (-.f32 maxCos #s(literal 1 binary32)) (-.f32 (neg.f32 maxCos) #s(literal -1 binary32))) #s(literal 1 binary32)) maxCos) ux))))
(if (<=.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 5368709/268435456 binary32)) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 (-.f32 ux #s(literal 1 binary32)) (*.f32 maxCos ux)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))
(if (<=.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 5368709/268435456 binary32)) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 (-.f32 ux #s(literal 1 binary32)) (*.f32 maxCos ux)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))
(if (<=.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 5368709/268435456 binary32)) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))
(if (<=.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 5368709/268435456 binary32)) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))
(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 5368709/268435456 binary32)) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) (-.f32 ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))
(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 5368709/268435456 binary32)) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 (fma.f32 #s(approx (- ux (+ (* maxCos ux) 1)) (-.f32 ux #s(literal 1 binary32))) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 1 binary32)))))
(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 5368709/268435456 binary32)) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))))
(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 5368709/268435456 binary32)) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) maxCos) ux)))) #s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (fma.f32 (-.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (+ (* (+ (* maxCos ux) (- 1 ux)) (neg (+ (* maxCos ux) (- 1 ux)))) 1))) #s(approx (sqrt (+ (* (- ux (+ (* maxCos ux) 1)) (- (+ (* maxCos ux) 1) ux)) 1)) (*.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)))

derivations1.2s (12%)

Memory
1.5MiB live, 1 051.5MiB allocated; 76ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012578923
147078711
089458227
04062229
114172116
262622098
080821994
085463
0150426
1563420
24692396
08415395
01675
02754
111554
298754
0865350
060335
0105254
1396254
22939252
08208250
012769634
148089448
091238903
09366252
133825708
082915415
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 1 207 to 162 computations (86.6% saved)

preprocess111.0ms (1.1%)

Memory
22.3MiB live, 122.1MiB allocated; 8ms collecting garbage
Remove

(abs uy)

Compiler

Compiled 2 816 to 572 computations (79.7% saved)

end0.0ms (0%)

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

Profiling

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